{"id":18805,"date":"2026-05-21T07:37:29","date_gmt":"2026-05-21T04:37:29","guid":{"rendered":"https:\/\/smartedujo.com\/?page_id=18805"},"modified":"2026-05-21T07:37:34","modified_gmt":"2026-05-21T04:37:34","slug":"%d8%a7%d9%84%d8%af%d8%b1%d8%b3-%d8%a7%d9%84%d8%ab%d8%a7%d9%86%d9%8a_%d8%aa%d8%b7%d8%a8%d9%8a%d9%82%d8%a7%d8%aa-%d8%b9%d9%84%d9%89-%d8%ad%d9%81%d8%b8-%d8%a7%d9%84%d8%b2%d8%ae%d9%85-%d8%a7%d9%84%d8%ae","status":"publish","type":"page","link":"https:\/\/smartedujo.com\/ar\/%d8%a7%d9%84%d8%af%d8%b1%d8%b3-%d8%a7%d9%84%d8%ab%d8%a7%d9%86%d9%8a_%d8%aa%d8%b7%d8%a8%d9%8a%d9%82%d8%a7%d8%aa-%d8%b9%d9%84%d9%89-%d8%ad%d9%81%d8%b8-%d8%a7%d9%84%d8%b2%d8%ae%d9%85-%d8%a7%d9%84%d8%ae\/","title":{"rendered":"\u0627\u0644\u062f\u0631\u0633 \u0627\u0644\u062b\u0627\u0646\u064a_\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0644\u0649 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a_quiz"},"content":{"rendered":"\n\n\n\n \n \n \u0627\u062e\u062a\u0628\u0627\u0631 \u062a\u0641\u0627\u0639\u0644\u064a: \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0644\u0649 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a | \u062a\u0635\u0627\u062f\u0645\u0627\u062a – \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a<\/title>\n <script src=\"https:\/\/cdn.tailwindcss.com\"><\/script>\n <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Cairo:wght@300;400;500;600;700;800&display=swap\" rel=\"stylesheet\">\n <style>\n body {\n background: linear-gradient(135deg, #1e1a3a, #2d2a5e);\n font-family: 'Cairo', sans-serif;\n min-height: 100vh;\n padding: 1.5rem;\n }\n .glass-card {\n background: rgba(15, 23, 42, 0.65);\n backdrop-filter: blur(14px);\n border: 1px solid rgba(255,255,255,0.15);\n border-radius: 1.75rem;\n box-shadow: 0 20px 35px -12px rgba(0,0,0,0.4);\n }\n .option-btn {\n transition: all 0.2s ease;\n background: rgba(255,255,255,0.05);\n border: 1.5px solid transparent;\n border-radius: 1rem;\n padding: 0.9rem 1.2rem;\n margin-bottom: 0.7rem;\n cursor: pointer;\n display: flex;\n align-items: center;\n gap: 0.75rem;\n }\n .option-btn:hover:not(.disabled-opt) {\n background: rgba(139, 92, 246, 0.2);\n border-color: #a78bfa;\n }\n .option-radio {\n width: 1.2rem;\n height: 1.2rem;\n accent-color: #8b5cf6;\n margin-left: 0.5rem;\n cursor: pointer;\n }\n .option-text {\n flex: 1;\n font-weight: 500;\n }\n .correct-highlight {\n background: rgba(34, 197, 94, 0.25);\n border-color: #4ade80;\n }\n .incorrect-highlight {\n background: rgba(239, 68, 68, 0.25);\n border-color: #f87171;\n }\n .explanation-box {\n background: rgba(0, 0, 0, 0.35);\n border-right: 4px solid #818cf8;\n padding: 1rem;\n border-radius: 1rem;\n margin-top: 1.2rem;\n font-size: 1rem;\n line-height: 1.6;\n }\n .nav-btn {\n background: #2d2b55;\n transition: 0.2s;\n font-weight: 600;\n padding: 0.5rem 1rem;\n border-radius: 2rem;\n }\n .nav-btn:hover:not(:disabled) {\n background: #5b21b6;\n transform: scale(0.97);\n }\n .nav-btn:disabled {\n opacity: 0.4;\n cursor: not-allowed;\n }\n .progress-step {\n background: #2d2a5e;\n border-radius: 2rem;\n height: 8px;\n transition: width 0.2s ease;\n }\n .badge-difficulty {\n font-size: 0.7rem;\n background: rgba(0,0,0,0.4);\n padding: 0.2rem 0.7rem;\n border-radius: 2rem;\n }\n .result-panel {\n background: linear-gradient(95deg, #1e1b4b, #2e2a6e);\n border-radius: 1.5rem;\n padding: 1rem 1.5rem;\n margin-top: 1.5rem;\n text-align: center;\n }\n button:active {\n transform: scale(0.98);\n }\n @media (max-width: 640px) {\n body { padding: 1rem; }\n .option-btn { padding: 0.7rem 0.9rem; }\n .explanation-box { font-size: 0.95rem; }\n }\n .wide-container {\n max-width: 90rem;\n margin-left: auto;\n margin-right: auto;\n width: 100%;\n }\n <\/style>\n<\/head>\n<body>\n<div class=\"wide-container\">\n <div class=\"glass-card p-5 md:p-6 mb-6 text-center\">\n <h1 class=\"text-2xl md:text-3xl font-extrabold text-white tracking-tight\">⚡ \u0627\u062e\u062a\u0628\u0627\u0631: \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0644\u0649 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a<\/h1>\n <p class=\"text-indigo-200 text-md mt-1\">\u0627\u0644\u062b\u0627\u0646\u0648\u064a – \u0627\u0644\u0635\u0641 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0634\u0631 – \u0627\u0644\u0645\u0633\u0627\u0631 \u0627\u0644\u0623\u0643\u0627\u062f\u064a\u0645\u064a | \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u0645\u0631\u0646\u0629\u060c \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\u0629\u060c \u0639\u062f\u064a\u0645\u0629 \u0627\u0644\u0645\u0631\u0648\u0646\u0629 \u0648\u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a<\/p>\n <\/div>\n\n <div class=\"glass-card p-5 md:p-7\">\n <div class=\"flex flex-wrap justify-between items-center gap-3 mb-5 pb-2 border-b border-white\/20\">\n <div class=\"flex items-center gap-3\">\n <span class=\"bg-purple-700\/60 text-white text-l font-bold px-3 py-1 rounded-full\">📋 \u0627\u0644\u0633\u0624\u0627\u0644 <span id=\"current-q-num\">1<\/span> \/ <span id=\"total-q-count\">0<\/span><\/span>\n <span id=\"difficulty-badge\" class=\"badge-difficulty text-white\/80\"><\/span>\n <\/div>\n <div class=\"flex items-center gap-2 text-l bg-black\/20 px-3 py-1 rounded-full\">\n <span class=\"text-indigo-300\">\u2713 \u0627\u0644\u0645\u062c\u0627\u0628 \u0639\u0646\u0647:<\/span>\n <span id=\"answered-count\" class=\"font-bold text-white\">0<\/span>\n <span class=\"text-indigo-300\">\u0645\u0646<\/span>\n <span id=\"total-answered-base\" class=\"font-bold text-white\">0<\/span>\n <\/div>\n <\/div>\n\n <div class=\"mb-5\">\n <div class=\"flex justify-between text-l text-indigo-200 mb-1\">\n <span>\u0627\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0627\u0644\u0623\u0633\u0626\u0644\u0629<\/span>\n <span id=\"progress-percent\">0%<\/span>\n <\/div>\n <div class=\"w-full bg-gray-800\/60 rounded-full h-2.5\">\n <div id=\"progress-bar\" class=\"progress-step bg-gradient-to-r from-purple-500 to-indigo-500 h-2.5 rounded-full\" style=\"width: 0%\"><\/div>\n <\/div>\n <\/div>\n\n <div id=\"dynamic-question-area\"><\/div>\n\n <div class=\"flex flex-wrap justify-center gap-3 mt-8 pt-3 border-t border-white\/20\">\n <button id=\"first-btn\" class=\"nav-btn text-white px-4 py-2 text-l md:text-base\">⏮ \u0627\u0644\u0623\u0648\u0644<\/button>\n <button id=\"prev-btn\" class=\"nav-btn text-white px-5 py-2\">▶ \u0627\u0644\u0633\u0627\u0628\u0642<\/button>\n <button id=\"next-btn\" class=\"nav-btn text-white px-5 py-2\">\u0627\u0644\u062a\u0627\u0644\u064a ◀<\/button>\n <button id=\"last-btn\" class=\"nav-btn text-white px-4 py-2 text-l md:text-base\">\u0627\u0644\u0623\u062e\u064a\u0631 ⏭<\/button>\n <\/div>\n\n <div class=\"mt-6 text-center\">\n <button id=\"submit-final-btn\" class=\"bg-gradient-to-r from-purple-600 to-indigo-600 hover:from-purple-700 hover:to-indigo-700 text-white font-bold py-3 px-8 rounded-full shadow-lg transition text-lg\">✨ \u0625\u0638\u0647\u0627\u0631 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 ✨<\/button>\n <\/div>\n\n <div id=\"result-panel\" class=\"result-panel hidden\">\n <h2 class=\"text-2xl font-bold text-white mb-2\">📊 \u0646\u062a\u064a\u062c\u062a\u0643 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h2>\n <p id=\"final-score-text\" class=\"text-4xl font-extrabold text-purple-300 mb-2\">0 \/ 0<\/p>\n <p id=\"result-message\" class=\"text-indigo-200 text-l\"><\/p>\n <button id=\"reset-exam-btn\" class=\"mt-4 bg-white\/20 hover:bg-white\/30 text-white px-6 py-2 rounded-full font-semibold transition\">🔄 \u0625\u0639\u0627\u062f\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631<\/button>\n <\/div>\n <\/div>\n<\/div>\n\n<script>\n \/\/ ========== \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0623\u0633\u0626\u0644\u0629 (35 \u0633\u0624\u0627\u0644\u0627\u064b) \u0645\u0646 \u0627\u062e\u062a\u0628\u0627\u0631 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a ==========\n const quizData = [\n {\"question\":\"\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u0628\u0642\u0649 \u0645\u062d\u0641\u0648\u0638\u064b\u0627 \u062f\u0627\u0626\u0645\u064b\u0627 \u0641\u064a \u0646\u0638\u0627\u0645 \u0645\u0639\u0632\u0648\u0644 \u0623\u062b\u0646\u0627\u0621 \u0623\u064a \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a\u061f\",\"options\":[\"\u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629\",\"\u0637\u0627\u0642\u0629 \u0627\u0644\u0648\u0636\u0639\",\"\u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629\",\"\u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a\"],\"correctAnswer\":\"\u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u062a\u0646\u0635 \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u0629 \u0644\u0644\u062f\u0631\u0633 \u0639\u0644\u0649 \u0623\u0646 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0643\u0644\u064a \u0644\u0646\u0638\u0627\u0645 \u0645\u0639\u0632\u0648\u0644 \u064a\u0643\u0648\u0646 \u0645\u062d\u0641\u0648\u0638\u064b\u0627 \u062f\u0627\u0626\u0645\u064b\u0627 \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0646\u0648\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645.\"},\n {\"question\":\"\u0623\u064a \u0645\u0646 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u064a\u062a\u0645 \u0641\u064a\u0647\u0627 \u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0644\u0644\u0646\u0638\u0627\u0645\u061f\",\"options\":[\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\",\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\",\"\u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a\"],\"correctAnswer\":\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646 \u064a\u064f\u0639\u0631\u0651\u0641 \u0628\u0623\u0646\u0647 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0630\u064a \u064a\u0643\u0648\u0646 \u0641\u064a\u0647 \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0644\u0623\u062c\u0632\u0627\u0621 \u0627\u0644\u0646\u0638\u0627\u0645 \u0642\u0628\u0644 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0645\u0633\u0627\u0648\u064a\u064b\u0627 \u0644\u0645\u062c\u0645\u0648\u0639\u0647\u0627 \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0645\u062d\u0641\u0648\u0638\u0629.\"},\n {\"question\":\"\u0641\u064a \u0623\u064a \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u062a\u0644\u062a\u0635\u0642 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0627\u0644\u0645\u062a\u0635\u0627\u062f\u0645\u0629 \u0645\u0639\u064b\u0627 \u0648\u062a\u062a\u062d\u0631\u0643 \u0643\u062c\u0633\u0645 \u0648\u0627\u062d\u062f \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\",\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\",\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0641\u0648\u0642 \u0627\u0644\u0645\u0631\u0646\"],\"correctAnswer\":\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u0647\u0630\u0647 \u0647\u064a \u0627\u0644\u0633\u0645\u0629 \u0627\u0644\u0645\u0645\u064a\u0632\u0629 \u0644\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\u060c \u062d\u064a\u062b \u062a\u0644\u062a\u062d\u0645 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0648\u062a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 \u0646\u0647\u0627\u0626\u064a\u0629 \u0645\u0634\u062a\u0631\u0643\u0629.\"},\n {\"question\":\"\u0639\u0646\u062f\u0645\u0627 \u064a\u062d\u062f\u062b \u062a\u0635\u0627\u062f\u0645 \u0648\u064a\u062a\u062d\u0648\u0644 \u062c\u0632\u0621 \u0645\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0625\u0644\u0649 \u062d\u0631\u0627\u0631\u0629 \u0623\u0648 \u0635\u0648\u062a \u0623\u0648 \u0637\u0627\u0642\u0629 \u062a\u0634\u0648\u0647\u060c \u0645\u0627 \u0646\u0648\u0639 \u0647\u0630\u0627 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646\",\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646 \u062a\u0645\u0627\u0645\u064b\u0627\",\"\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646\"],\"correctAnswer\":\"\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\u060c \u0644\u0627 \u064a\u062a\u0645 \u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0644\u0623\u0646 \u062c\u0632\u0621\u064b\u0627 \u0645\u0646\u0647\u0627 \u064a\u062a\u062d\u0648\u0644 \u0625\u0644\u0649 \u0623\u0634\u0643\u0627\u0644 \u0623\u062e\u0631\u0649 \u0645\u0646 \u0627\u0644\u0637\u0627\u0642\u0629.\"},\n {\"question\":\"\u0644\u062c\u0633\u0645\u064a\u0646 (A \u0648 B) \u064a\u062e\u0636\u0639\u0627\u0646 \u0644\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646 \u0641\u064a \u0628\u064f\u0639\u062f \u0648\u0627\u062d\u062f\u060c \u0623\u064a \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0635\u062d\u064a\u062d\u0629\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a\u061f\",\"options\":[\"m_A v_{A,i} + m_B v_{B,i} = (m_A + m_B) v_f\",\"\u00bd m_A v_{A,i}\u00b2 + \u00bd m_B v_{B,i}\u00b2 = \u00bd m_A v_{A,f}\u00b2 + \u00bd m_B v_{B,f}\u00b2\",\"v_{A,i} - v_{B,i} = v_{B,f} - v_{A,f}\",\"m_A v_{A,i} = m_A v_{A,f}\"],\"correctAnswer\":\"\u00bd m_A v_{A,i}\u00b2 + \u00bd m_B v_{B,i}\u00b2 = \u00bd m_A v_{A,f}\u00b2 + \u00bd m_B v_{B,f}\u00b2\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\u060c \u064a\u062a\u0645 \u062d\u0641\u0638 \u0643\u0644 \u0645\u0646 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0648\u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629. \u0627\u0644\u062e\u064a\u0627\u0631 \u0628 \u064a\u0645\u062b\u0644 \u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629.\"},\n {\"question\":\"\u0645\u0627\u0630\u0627 \u062a\u0639\u0646\u064a '\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0633\u062d\u0631\u064a\u0629' v_{A,i} + v_{A,f} = v_{B,i} + v_{B,f} \u0628\u062e\u0635\u0648\u0635 \u0627\u0644\u0633\u0631\u0639\u0627\u062a \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\u061f\",\"options\":[\"\u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0642\u062a\u0631\u0627\u0628 \u0642\u0628\u0644 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0628\u062a\u0639\u0627\u062f \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645.\",\"\u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0642\u062a\u0631\u0627\u0628 \u0642\u0628\u0644 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u062a\u0633\u0627\u0648\u064a \u0633\u0627\u0644\u0628 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0628\u062a\u0639\u0627\u062f \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645.\",\"\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0633\u0631\u0639\u0627\u062a \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u064a\u0633\u0627\u0648\u064a \u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0633\u0631\u0639\u0627\u062a \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629.\",\"\u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629.\"],\"correctAnswer\":\"\u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0642\u062a\u0631\u0627\u0628 \u0642\u0628\u0644 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u062a\u0633\u0627\u0648\u064a \u0633\u0627\u0644\u0628 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0628\u062a\u0639\u0627\u062f \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645.\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u064a\u0645\u0643\u0646 \u0625\u0639\u0627\u062f\u0629 \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0644\u062a\u0635\u0628\u062d (v_{A,i} - v_{B,i}) = -(v_{A,f} - v_{B,f})\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0642\u062a\u0631\u0627\u0628 \u062a\u0633\u0627\u0648\u064a \u0641\u064a \u0627\u0644\u0645\u0642\u062f\u0627\u0631 \u0648\u0644\u0643\u0646\u0647\u0627 \u0645\u0639\u0627\u0643\u0633\u0629 \u0641\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u0644\u0627\u0628\u062a\u0639\u0627\u062f.\"},\n {\"question\":\"\u0643\u0631\u062a\u0627 \u0628\u0644\u064a\u0627\u0631\u062f\u0648 \u0645\u062a\u0633\u0627\u0648\u064a\u062a\u0627\u0646 \u0641\u064a \u0627\u0644\u0643\u062a\u0644\u0629 \u062a\u062a\u0635\u0627\u062f\u0645\u0627\u0646 \u062a\u0635\u0627\u062f\u0645\u064b\u0627 \u0645\u0631\u0646\u064b\u0627 \u0631\u0623\u0633\u0627\u064b \u0628\u0631\u0623\u0633. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0643\u0631\u0629 A \u062a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 3 m\/s \u0648\u0627\u0644\u0643\u0631\u0629 B \u0633\u0627\u0643\u0646\u0629\u060c \u0641\u0645\u0627\u0630\u0627 \u0633\u062a\u0643\u0648\u0646 \u0633\u0631\u0639\u0627\u062a\u0647\u0645\u0627 \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"v_A,f = 3 m\/s, v_B,f = 0 m\/s\",\"v_A,f = 0 m\/s, v_B,f = 3 m\/s\",\"v_A,f = 1.5 m\/s, v_B,f = 1.5 m\/s\",\"v_A,f = -3 m\/s, v_B,f = 0 m\/s\"],\"correctAnswer\":\"v_A,f = 0 m\/s, v_B,f = 3 m\/s\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646 \u0627\u0644\u0631\u0623\u0633\u064a \u0628\u064a\u0646 \u062c\u0633\u0645\u064a\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0643\u062a\u0644\u0629 \u0648\u0623\u062d\u062f\u0647\u0645\u0627 \u0633\u0627\u0643\u0646\u060c \u064a\u062a\u0628\u0627\u062f\u0644\u0627\u0646 \u0627\u0644\u0633\u0631\u0639\u0627\u062a. \u0627\u0644\u0643\u0631\u0629 A \u062a\u062a\u0648\u0642\u0641 \u062a\u0645\u0627\u0645\u064b\u0627 \u0648\u062a\u0643\u062a\u0633\u0628 \u0627\u0644\u0643\u0631\u0629 B \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0644\u0644\u0643\u0631\u0629 A.\"},\n {\"question\":\"\u0633\u064a\u0627\u0631\u0629 \u0643\u062a\u0644\u062a\u0647\u0627 1000 kg \u062a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 10 m\/s \u062a\u0635\u0637\u062f\u0645 \u0628\u0633\u064a\u0627\u0631\u0629 \u0623\u062e\u0631\u0649 \u0633\u0627\u0643\u0646\u0629 \u0643\u062a\u0644\u062a\u0647\u0627 1000 kg. \u0625\u0630\u0627 \u0627\u0644\u062a\u062d\u0645\u062a\u0627 \u0645\u0639\u064b\u0627 \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u060c \u0641\u0645\u0627 \u0647\u064a \u0633\u0631\u0639\u062a\u0647\u0645\u0627 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0641\u0648\u0631\u064b\u0627 \u0628\u0639\u062f \u0627\u0644\u0627\u0635\u0637\u062f\u0627\u0645\u061f\",\"options\":[\"10 m\/s\",\"7.5 m\/s\",\"5 m\/s\",\"2.5 m\/s\"],\"correctAnswer\":\"5 m\/s\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0647\u0630\u0627 \u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629. \u0628\u062a\u0637\u0628\u064a\u0642 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645: m_1 v_1 + m_2 v_2 = (m_1 + m_2) v_f. (1000)(10) + (1000)(0) = (1000 + 1000) v_f. 10000 = 2000 v_f. \u0625\u0630\u0646\u060c v_f = 5 m\/s.\"},\n {\"question\":\"\u0641\u064a \u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0633\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0633\u0624\u0627\u0644 8\u060c \u0645\u0627\u0630\u0627 \u062d\u062f\u062b \u0644\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0644\u0644\u0646\u0638\u0627\u0645\u061f\",\"options\":[\"\u0628\u0642\u064a\u062a \u0645\u062d\u0641\u0648\u0638\u0629.\",\"\u0632\u0627\u062f\u062a \u0628\u0634\u0643\u0644 \u0643\u0628\u064a\u0631.\",\"\u0646\u0642\u0635\u062a \u0628\u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0646\u0635\u0641.\",\"\u0641\u064f\u0642\u062f\u062a \u062a\u0645\u0627\u0645\u064b\u0627.\"],\"correctAnswer\":\"\u0646\u0642\u0635\u062a \u0628\u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0646\u0635\u0641.\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 = \u00bd(1000)(10)\u00b2 = 50000 J. \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 = \u00bd(2000)(5)\u00b2 = 25000 J. \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0647\u064a \u0646\u0635\u0641 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0646\u0635\u0641.\"},\n {\"question\":\"\u0645\u0627 \u0647\u0648 \u0627\u0644\u063a\u0631\u0636 \u0627\u0644\u0623\u0633\u0627\u0633\u064a \u0645\u0646 \u062c\u0647\u0627\u0632 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a\u061f\",\"options\":[\"\u0642\u064a\u0627\u0633 \u0643\u062a\u0644\u0629 \u0627\u0644\u0645\u0642\u0630\u0648\u0641.\",\"\u0642\u064a\u0627\u0633 \u0645\u0633\u0627\u0631 \u0627\u0644\u0645\u0642\u0630\u0648\u0641.\",\"\u0642\u064a\u0627\u0633 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0644\u0644\u0645\u0642\u0630\u0648\u0641.\",\"\u0625\u0638\u0647\u0627\u0631 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u0645\u0631\u0646\u0629.\"],\"correctAnswer\":\"\u0642\u064a\u0627\u0633 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0644\u0644\u0645\u0642\u0630\u0648\u0641.\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u064a\u0630\u0643\u0631 \u0627\u0644\u062f\u0631\u0633 \u0635\u0631\u0627\u062d\u0629 \u0623\u0646 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u0642\u064a\u0627\u0633 \u0633\u0631\u0639\u0629 \u0627\u0644\u0645\u0642\u0630\u0648\u0641\u0627\u062a \u0627\u0644\u0633\u0631\u064a\u0639\u0629.\"},\n {\"question\":\"\u064a\u062a\u0636\u0645\u0646 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a \u0645\u0631\u062d\u0644\u062a\u064a\u0646 \u0645\u062a\u0645\u064a\u0632\u062a\u064a\u0646. \u0645\u0627 \u0646\u0648\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062b \u0641\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 (\u0625\u0637\u0644\u0627\u0642 \u0627\u0644\u0631\u0635\u0627\u0635\u0629 \u0641\u064a \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062e\u0634\u0628\u064a\u0629)\u061f\",\"options\":[\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646\",\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646 \u062a\u0645\u0627\u0645\u064b\u0627\",\"\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646 \u062c\u0632\u0626\u064a\u064b\u0627\"],\"correctAnswer\":\"\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u062a\u0644\u062a\u0635\u0642 \u0627\u0644\u0631\u0635\u0627\u0635\u0629 \u0628\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062e\u0634\u0628\u064a\u0629\u060c \u0648\u0647\u0630\u0627 \u0647\u0648 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629.\"},\n {\"question\":\"\u0623\u064a \u0645\u0628\u062f\u0623 \u0641\u064a\u0632\u064a\u0627\u0626\u064a \u064a\u064f\u0637\u0628\u0642 \u0641\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0645\u0646 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a (\u0646\u0638\u0627\u0645 \u0627\u0644\u0631\u0635\u0627\u0635\u0629 \u0648\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 \u064a\u062a\u0623\u0631\u062c\u062d \u0644\u0644\u0623\u0639\u0644\u0649)\u061f\",\"options\":[\"\u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0641\u0642\u0637.\",\"\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0641\u0642\u0637.\",\"\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629 (\u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0648\u0627\u0644\u0648\u0636\u0639\u064a\u0629).\",\"\u062d\u0641\u0638 \u0627\u0644\u062f\u0641\u0639.\"],\"correctAnswer\":\"\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629 (\u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0648\u0627\u0644\u0648\u0636\u0639\u064a\u0629).\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u0641\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u060c \u062a\u062a\u062d\u0648\u0644 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0644\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u062f\u0645\u062c \u0625\u0644\u0649 \u0637\u0627\u0642\u0629 \u0648\u0636\u0639 \u062c\u0627\u0630\u0628\u064a\u0629 \u0623\u062b\u0646\u0627\u0621 \u0627\u0631\u062a\u0641\u0627\u0639\u0647\u060c \u0648\u064a\u062a\u0645 \u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629 (\u0628\u0625\u0647\u0645\u0627\u0644 \u0645\u0642\u0627\u0648\u0645\u0629 \u0627\u0644\u0647\u0648\u0627\u0621).\"},\n {\"question\":\"\u0625\u0630\u0627 \u0627\u0646\u062e\u0641\u0636\u062a \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0644\u0646\u0638\u0627\u0645 \u0623\u062b\u0646\u0627\u0621 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u060c \u0648\u0644\u0645 \u062a\u0644\u062a\u0635\u0642 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0627\u0644\u0645\u062a\u0635\u0627\u062f\u0645\u0629 \u0645\u0639\u064b\u0627\u060c \u0641\u0645\u0627 \u0646\u0648\u0639 \u0647\u0630\u0627 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646\",\"\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646\",\"\u062a\u0635\u0627\u062f\u0645 \u0641\u0648\u0642 \u0645\u0631\u0646\"],\"correctAnswer\":\"\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0646\u0642\u0635\u0627\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u064a\u062f\u0644 \u0639\u0644\u0649 \u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646. \u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0644\u0645 \u062a\u0644\u062a\u0635\u0642\u060c \u0641\u0625\u0646\u0647 \u0644\u064a\u0633 \u062a\u0635\u0627\u062f\u0645\u064b\u0627 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629.\"},\n {\"question\":\"\u0648\u0641\u0642\u064b\u0627 \u0644\u0645\u0644\u062e\u0635 \u0627\u0644\u062f\u0631\u0633\u060c \u0623\u064a \u0639\u0628\u0627\u0631\u0629 \u062d\u0648\u0644 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0635\u062d\u064a\u062d\u0629 \u062f\u0627\u0626\u0645\u064b\u0627 \u0644\u0646\u0638\u0627\u0645 \u0645\u0639\u0632\u0648\u0644 \u0623\u062b\u0646\u0627\u0621 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"\u064a\u062a\u0645 \u062d\u0641\u0638\u0647 \u0641\u0642\u0637 \u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u0645\u0631\u0646\u0629.\",\"\u064a\u062a\u0645 \u062d\u0641\u0638\u0647 \u0641\u0642\u0637 \u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0639\u062f\u064a\u0645\u0629 \u0627\u0644\u0645\u0631\u0648\u0646\u0629.\",\"\u064a\u062a\u0645 \u062d\u0641\u0638\u0647 \u062f\u0627\u0626\u0645\u064b\u0627 \u0641\u064a \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a.\",\"\u0644\u0627 \u064a\u062a\u0645 \u062d\u0641\u0638\u0647 \u0623\u0628\u062f\u064b\u0627 \u0628\u0633\u0628\u0628 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0637\u0627\u0642\u0629.\"],\"correctAnswer\":\"\u064a\u062a\u0645 \u062d\u0641\u0638\u0647 \u062f\u0627\u0626\u0645\u064b\u0627 \u0641\u064a \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a.\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u062a\u0624\u0643\u062f \u062e\u0644\u0627\u0635\u0629 \u0627\u0644\u062f\u0631\u0633 \u0623\u0646 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u0643\u0644\u064a \u0645\u062d\u0641\u0648\u0638 \u062f\u0627\u0626\u0645\u064b\u0627 \u0641\u064a \u062c\u0645\u064a\u0639 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a (\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0645\u0639\u0632\u0648\u0644\u064b\u0627).\"},\n {\"question\":\"\u0645\u062a\u0649 \u064a\u062d\u062f\u062b \u0623\u0642\u0635\u0649 \u0641\u0642\u062f\u0627\u0646 \u0644\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0623\u062b\u0646\u0627\u0621 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646.\",\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629.\",\"\u0641\u064a \u0623\u064a \u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646.\",\"\u0639\u0646\u062f\u0645\u0627 \u062a\u062a\u0646\u0627\u0641\u0631 \u0627\u0644\u0623\u062c\u0633\u0627\u0645.\"],\"correctAnswer\":\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629.\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u064a\u0646\u0635 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629 \u0639\u0644\u0649 \u0623\u0646 \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u064a\u0643\u0648\u0646 \u0623\u0643\u0628\u0631 \u0645\u0627 \u064a\u0645\u0643\u0646 \u0639\u0646\u062f\u0645\u0627 \u062a\u0644\u062a\u0635\u0642 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0628\u0628\u0639\u0636\u0647\u0627.\"},\n {\"question\":\"\u0633\u0647\u0645 \u0643\u062a\u0644\u062a\u0647 0.03 kg \u064a\u0635\u0637\u062f\u0645 \u0628\u0643\u062a\u0644\u0629 \u0628\u0646\u062f\u0648\u0644 \u0643\u062a\u0644\u062a\u0647\u0627 0.72 kg \u0648\u064a\u0644\u062a\u062d\u0645\u0627\u0646 \u0645\u0639\u064b\u0627 \u0648\u064a\u0631\u062a\u0641\u0639\u0627\u0646 \u0625\u0644\u0649 \u0627\u0631\u062a\u0641\u0627\u0639 0.20 m. \u0645\u0627 \u0647\u064a \u0633\u0631\u0639\u0629 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 (\u0627\u0644\u0633\u0647\u0645 \u0648\u0627\u0644\u0643\u062a\u0644\u0629) \u0641\u0648\u0631\u064b\u0627 \u0628\u0639\u062f \u0627\u0644\u0627\u0635\u0637\u062f\u0627\u0645\u061f (\u0627\u0633\u062a\u062e\u062f\u0645 g = 9.8 m\/s\u00b2)\",\"options\":[\"0.63 m\/s\",\"1.4 m\/s\",\"1.98 m\/s\",\"2.8 m\/s\"],\"correctAnswer\":\"1.98 m\/s\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0647\u0630\u0647 \u0647\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0645\u0646 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a. v_f = \u221a(2gh) = \u221a(2 \u00d7 9.8 \u00d7 0.20) = \u221a3.92 \u2248 1.98 m\/s.\"},\n {\"question\":\"\u0628\u0627\u0644\u0631\u062c\u0648\u0639 \u0625\u0644\u0649 \u0627\u0644\u0633\u0624\u0627\u0644 16\u060c \u0645\u0627 \u0647\u064a \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0644\u0644\u0633\u0647\u0645 \u0642\u0628\u0644 \u0623\u0646 \u064a\u0635\u0637\u062f\u0645 \u0628\u0643\u062a\u0644\u0629 \u0627\u0644\u0628\u0646\u062f\u0648\u0644\u061f\",\"options\":[\"49.5 m\/s\",\"2.0 m\/s\",\"1.98 m\/s\",\"0.03 m\/s\"],\"correctAnswer\":\"49.5 m\/s\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u0645\u0646 \u0627\u0644\u0633\u0624\u0627\u0644 16\u060c v_f = 1.98 m\/s. \u0628\u062a\u0637\u0628\u064a\u0642 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0644\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649: m_A v_{A,i} = (m_A + m_B) v_f. (0.03) v_{A,i} = (0.03 + 0.72) (1.98). 0.03 v_{A,i} = (0.75) (1.98). v_{A,i} = 1.485 \/ 0.03 = 49.5 m\/s.\"},\n {\"question\":\"\u0625\u0630\u0627 \u062a\u0645 \u062a\u0639\u064a\u064a\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u0645\u062a\u062d\u0631\u0643 \u064a\u0645\u064a\u0646\u064b\u0627 \u0628\u0642\u064a\u0645\u0629 \u0645\u0648\u062c\u0628\u0629\u060c \u0648\u0627\u0635\u0637\u062f\u0645 \u0628\u062c\u0633\u0645 \u064a\u062a\u062d\u0631\u0643 \u064a\u0633\u0627\u0631\u064b\u0627\u060c \u0641\u0643\u064a\u0641 \u064a\u062c\u0628 \u0625\u062f\u062e\u0627\u0644 \u0633\u0631\u0639\u0629 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062b\u0627\u0646\u064a \u0641\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645\u061f\",\"options\":[\"\u062f\u0627\u0626\u0645\u064b\u0627 \u0643\u0642\u064a\u0645\u0629 \u0645\u0648\u062c\u0628\u0629.\",\"\u062f\u0627\u0626\u0645\u064b\u0627 \u0643\u0642\u064a\u0645\u0629 \u0633\u0627\u0644\u0628\u0629.\",\"\u0643\u0642\u064a\u0645\u0629 \u0645\u0648\u062c\u0628\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0633\u0631\u0639\u062a\u0647 \u0623\u0643\u0628\u0631.\",\"\u0643\u0642\u064a\u0645\u0629 \u0633\u0627\u0644\u0628\u0629 \u0644\u062a\u0639\u0643\u0633 \u0627\u062a\u062c\u0627\u0647\u0647 \u0627\u0644\u0645\u0639\u0627\u0643\u0633.\"],\"correctAnswer\":\"\u0643\u0642\u064a\u0645\u0629 \u0633\u0627\u0644\u0628\u0629 \u0644\u062a\u0639\u0643\u0633 \u0627\u062a\u062c\u0627\u0647\u0647 \u0627\u0644\u0645\u0639\u0627\u0643\u0633.\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0627\u0644\u0632\u062e\u0645 \u0643\u0645\u064a\u0629 \u0645\u062a\u062c\u0647\u0629\u060c \u0644\u0630\u0627 \u064a\u062c\u0628 \u0623\u062e\u0630 \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0641\u064a \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u0634\u0627\u0631\u0627\u062a \u0645\u0648\u062c\u0628\u0629 \u0648\u0633\u0627\u0644\u0628\u0629\u060c \u0643\u0645\u0627 \u0647\u0648 \u0645\u0630\u0643\u0648\u0631 \u0641\u064a \u0646\u0635\u0627\u0626\u062d \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0648\u0627\u0644\u0627\u0645\u062a\u062d\u0627\u0646.\"},\n {\"question\":\"\u0645\u0627\u0630\u0627 \u062a\u0634\u064a\u0631 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u0644\u0640 \u0394KE (\u0627\u0644\u062a\u063a\u064a\u0631 \u0641\u064a \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629) \u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"\u0632\u064a\u0627\u062f\u0629 \u0641\u064a \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629.\",\"\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629.\",\"\u0627\u0643\u062a\u0633\u0628 \u0627\u0644\u0646\u0638\u0627\u0645 \u0637\u0627\u0642\u0629 \u0648\u0636\u0639.\",\"\u0641\u0642\u062f \u0627\u0644\u0646\u0638\u0627\u0645 \u0637\u0627\u0642\u0629 \u062d\u0631\u0643\u064a\u0629.\"],\"correctAnswer\":\"\u0641\u0642\u062f \u0627\u0644\u0646\u0638\u0627\u0645 \u0637\u0627\u0642\u0629 \u062d\u0631\u0643\u064a\u0629.\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u0394KE = KE_final - KE_initial. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a KE_final \u0623\u0642\u0644 \u0645\u0646 KE_initial\u060c \u0641\u0625\u0646 \u0394KE \u0633\u062a\u0643\u0648\u0646 \u0633\u0627\u0644\u0628\u0629\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0641\u0642\u062f\u0627\u0646 \u0627\u0644\u0637\u0627\u0642\u0629.\"},\n {\"question\":\"\u0627\u0639\u062a\u0628\u0631 \u0646\u0638\u0627\u0645\u064b\u0627 \u0645\u0643\u0648\u0646\u064b\u0627 \u0645\u0646 \u062c\u0633\u0645\u064a\u0646. \u0625\u0630\u0627 \u062a\u0645 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u0643\u0644\u064a\u060c \u0648\u0644\u0643\u0646 \u0627\u0646\u062e\u0641\u0636\u062a \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0628\u0645\u0642\u062f\u0627\u0631 75 J\u060c \u0648\u0644\u0645 \u062a\u0644\u062a\u0635\u0642 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0645\u0639\u064b\u0627\u060c \u0641\u0645\u0627 \u0646\u0648\u0639 \u0647\u0630\u0627 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"\u0645\u0631\u0646\",\"\u0645\u0631\u0646 \u062a\u0645\u0627\u0645\u064b\u0627\",\"\u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u063a\u064a\u0631 \u0645\u0631\u0646\"],\"correctAnswer\":\"\u063a\u064a\u0631 \u0645\u0631\u0646\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0627\u0646\u062e\u0641\u0627\u0636 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646. \u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0644\u0645 \u062a\u0644\u062a\u0635\u0642 \u0645\u0639\u064b\u0627\u060c \u0641\u0625\u0646\u0647 \u0644\u064a\u0633 \u062a\u0635\u0627\u062f\u0645\u064b\u0627 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629.\"},\n {\"question\":\"\u0623\u064a \u0645\u0646 \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 **\u063a\u064a\u0631 \u0635\u062d\u064a\u062d\u0629** \u0628\u062e\u0635\u0648\u0635 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0641\u064a \u0646\u0638\u0627\u0645 \u0645\u0639\u0632\u0648\u0644\u061f\",\"options\":[\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\u060c \u064a\u062a\u0645 \u062d\u0641\u0638 \u0643\u0644 \u0645\u0646 \u0627\u0644\u0632\u062e\u0645 \u0648\u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629.\",\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\u060c \u064a\u062a\u0645 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645\u060c \u0648\u0644\u0643\u0646 \u0644\u0627 \u064a\u062a\u0645 \u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629.\",\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\u060c \u064a\u062a\u0645 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645\u060c \u0648\u062a\u0644\u062a\u0635\u0642 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0645\u0639\u064b\u0627.\",\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\u060c \u062a\u0643\u0648\u0646 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0641\u064a \u0627\u0644\u0643\u062a\u0644\u0629.\"],\"correctAnswer\":\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\u060c \u062a\u0643\u0648\u0646 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0641\u064a \u0627\u0644\u0643\u062a\u0644\u0629.\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062d\u062f\u062b \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u0645\u0631\u0646\u0629 \u0628\u064a\u0646 \u0623\u062c\u0633\u0627\u0645 \u0630\u0627\u062a \u0643\u062a\u0644 \u0645\u062e\u062a\u0644\u0641\u0629. \u0634\u0631\u0637 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0643\u062a\u0644 \u064a\u0624\u062f\u064a \u0641\u0642\u0637 \u0625\u0644\u0649 \u0646\u062a\u064a\u062c\u0629 \u0645\u062d\u062f\u062f\u0629 (\u062a\u0628\u0627\u062f\u0644 \u0627\u0644\u0633\u0631\u0639\u0627\u062a \u0625\u0630\u0627 \u0643\u0627\u0646 \u0623\u062d\u062f\u0647\u0645\u0627 \u0633\u0627\u0643\u0646\u064b\u0627)\u060c \u0648\u0644\u0643\u0646\u0647 \u0644\u064a\u0633 \u0634\u0631\u0637\u064b\u0627 \u0639\u0627\u0645\u064b\u0627 \u0644\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646.\"},\n {\"question\":\"\u0645\u0627 \u0647\u064a '\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0645\u062f\u0645\u062c\u0629' \u0641\u064a \u0633\u064a\u0627\u0642 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629 \u0623\u0648 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a\u061f\",\"options\":[\"\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0643\u062a\u0644\u062a\u064a\u0646.\",\"\u0643\u062a\u0644\u0629 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u0623\u062b\u0642\u0644.\",\"\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0643\u062a\u0644 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 (m_A + m_B).\",\"\u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u0643\u062a\u0644\u062a\u064a\u0646.\"],\"correctAnswer\":\"\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0643\u062a\u0644 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 (m_A + m_B).\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u0639\u0646\u062f\u0645\u0627 \u062a\u0644\u062a\u0635\u0642 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0645\u0639\u064b\u0627\u060c \u0641\u0625\u0646\u0647\u0627 \u062a\u0634\u0643\u0644 \u0646\u0638\u0627\u0645\u064b\u0627 \u0648\u0627\u062d\u062f\u064b\u0627 \u0628\u0643\u062a\u0644\u0629 \u0645\u062f\u0645\u062c\u0629 \u062a\u0633\u0627\u0648\u064a \u0645\u062c\u0645\u0648\u0639 \u0643\u062a\u0644\u0647\u0627 \u0627\u0644\u0641\u0631\u062f\u064a\u0629.\"},\n {\"question\":\"\u0639\u0631\u0628\u0629 \u0642\u0637\u0627\u0631 \u0643\u062a\u0644\u062a\u0647\u0627 1.8 \u00d7 10\u00b3 kg \u062a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 3 m\/s \u062a\u0635\u0637\u062f\u0645 \u0628\u0639\u0631\u0628\u0629 \u0642\u0637\u0627\u0631 \u0633\u0627\u0643\u0646\u0629 \u0623\u062e\u0631\u0649 \u0643\u062a\u0644\u062a\u0647\u0627 2.2 \u00d7 10\u00b3 kg \u0648\u062a\u0644\u062a\u062d\u0645\u0627\u0646. \u0627\u062d\u0633\u0628 \u0633\u0631\u0639\u062a\u0647\u0645\u0627 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u0629 \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645.\",\"options\":[\"3.0 m\/s\",\"1.8 m\/s\",\"1.35 m\/s\",\"0.9 m\/s\"],\"correctAnswer\":\"1.35 m\/s\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0647\u0630\u0627 \u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629. m_A v_A,i + m_B v_B,i = (m_A + m_B) v_f. (1.8\u00d710\u00b3)(3.0) + (2.2\u00d710\u00b3)(0) = (1.8\u00d710\u00b3 + 2.2\u00d710\u00b3) v_f. 5400 = (4.0\u00d710\u00b3) v_f. v_f = 5400 \/ 4000 = 1.35 m\/s.\"},\n {\"question\":\"\u0641\u064a \u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646 \u0628\u064a\u0646 \u062c\u0633\u0645\u064a\u0646 \u0630\u0648\u064a \u0643\u062a\u0644 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u0629\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0623\u062d\u062f \u0627\u0644\u062c\u0633\u0645\u064a\u0646 \u0633\u0627\u0643\u0646\u064b\u0627 \u0641\u064a \u0627\u0644\u0628\u062f\u0627\u064a\u0629\u060c \u0641\u0647\u0644 \u0633\u064a\u062a\u0648\u0642\u0641 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u0645\u062a\u062d\u0631\u0643 \u0641\u064a \u0627\u0644\u0628\u062f\u0627\u064a\u0629 \u062a\u0645\u0627\u0645\u064b\u0627 \u062f\u0627\u0626\u0645\u064b\u0627\u061f\",\"options\":[\"\u0646\u0639\u0645\u060c \u062f\u0627\u0626\u0645\u064b\u0627.\",\"\u0644\u0627\u060c \u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0643\u062a\u0644 \u0645\u062a\u0633\u0627\u0648\u064a\u0629.\",\"\u0646\u0639\u0645\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u0633\u0627\u0643\u0646 \u0623\u062b\u0642\u0644 \u0628\u0643\u062b\u064a\u0631.\",\"\u0644\u0627\u060c \u0628\u0644 \u0633\u064a\u0639\u0643\u0633 \u0627\u062a\u062c\u0627\u0647\u0647 \u062f\u0627\u0626\u0645\u064b\u0627.\"],\"correctAnswer\":\"\u0644\u0627\u060c \u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0643\u062a\u0644 \u0645\u062a\u0633\u0627\u0648\u064a\u0629.\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u062a\u0628\u0627\u062f\u0644 \u0627\u0644\u0633\u0631\u0639\u0627\u062a (\u062a\u0648\u0642\u0641 \u062c\u0633\u0645 \u0648\u0628\u062f\u0621 \u062d\u0631\u0643\u0629 \u0627\u0644\u0622\u062e\u0631 \u0628\u0633\u0631\u0639\u062a\u0647) \u064a\u062d\u062f\u062b \u0641\u0642\u0637 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0643\u062a\u0644 \u0645\u062a\u0633\u0627\u0648\u064a\u0629. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0643\u062a\u0644 \u063a\u064a\u0631 \u0645\u062a\u0633\u0627\u0648\u064a\u0629\u060c \u0633\u062a\u062e\u062a\u0644\u0641 \u0627\u0644\u0646\u062a\u0627\u0626\u062c.\"},\n {\"question\":\"\u0644\u0645\u0627\u0630\u0627 \u064a\u0645\u0643\u0646 \u062a\u0637\u0628\u064a\u0642 '\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629' \u0639\u0644\u0649 \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 (\u0627\u0644\u0627\u0631\u062a\u0641\u0627\u0639) \u0645\u0646 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a\u060c \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0639\u0644\u0649 \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 (\u0627\u0644\u062a\u0635\u0627\u062f\u0645)\u061f\",\"options\":[\"\u0644\u0623\u0646 \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u062a\u062a\u0636\u0645\u0646 \u0637\u0627\u0642\u0629 \u0648\u0636\u0639 \u0641\u0642\u0637.\",\"\u0644\u0623\u0646 \u0645\u0642\u0627\u0648\u0645\u0629 \u0627\u0644\u0647\u0648\u0627\u0621 \u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u0642\u0637 \u0641\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649.\",\"\u0644\u0623\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u062a\u064f\u0641\u0642\u062f \u0643\u062d\u0631\u0627\u0631\u0629\/\u0635\u0648\u062a \u0641\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0648\u0644\u064a\u0633 \u0628\u0634\u0643\u0644 \u0643\u0628\u064a\u0631 \u0641\u064a \u0627\u0644\u062b\u0627\u0646\u064a\u0629.\",\"\u0644\u0623\u0646 \u0627\u0644\u062c\u0627\u0630\u0628\u064a\u0629 \u062a\u0624\u062b\u0631 \u0641\u0642\u0637 \u0641\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629.\"],\"correctAnswer\":\"\u0644\u0623\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u062a\u064f\u0641\u0642\u062f \u0643\u062d\u0631\u0627\u0631\u0629\/\u0635\u0648\u062a \u0641\u064a \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0648\u0644\u064a\u0633 \u0628\u0634\u0643\u0644 \u0643\u0628\u064a\u0631 \u0641\u064a \u0627\u0644\u062b\u0627\u0646\u064a\u0629.\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 (\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629) \u062a\u0646\u0637\u0648\u064a \u0639\u0644\u0649 \u0641\u0642\u062f\u0627\u0646 \u0645\u062a\u0623\u0635\u0644 \u0644\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629. \u0628\u064a\u0646\u0645\u0627 \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u060c \u0648\u0647\u064a \u062d\u0631\u0643\u0629 \u062a\u0623\u0631\u062c\u062d\u060c \u062a\u064f\u0641\u062a\u0631\u0636 \u0641\u064a\u0647\u0627 \u0627\u0644\u0642\u0648\u0649 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u0627\u0641\u0638\u0629 (\u0645\u062b\u0644 \u0645\u0642\u0627\u0648\u0645\u0629 \u0627\u0644\u0647\u0648\u0627\u0621) \u0645\u0647\u0645\u0644\u0629\u060c \u0645\u0645\u0627 \u064a\u0633\u0645\u062d \u0628\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629.\"},\n {\"question\":\"\u0648\u0641\u0642\u064b\u0627 \u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u0645\u0644\u062e\u0635\u060c \u0623\u064a \u0645\u0646 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0627 \u064a\u062a\u0645 \u0641\u064a\u0647\u0627 \u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629\u061f\",\"options\":[\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\",\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\",\"\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u0643\u0644 \u0645\u0646 \u0628 \u0648\u062c\"],\"correctAnswer\":\"\u0643\u0644 \u0645\u0646 \u0628 \u0648\u062c\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u064a\u0648\u0636\u062d \u0627\u0644\u062c\u062f\u0648\u0644 \u0628\u0648\u0636\u0648\u062d \u0623\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0644\u0627 \u062a\u064f\u062d\u0641\u0638 \u0641\u064a \u0643\u0644 \u0645\u0646 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646 \u0648\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629.\"},\n {\"question\":\"\u0643\u0631\u0629 \u0643\u062a\u0644\u062a\u0647\u0627 2 kg \u062a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 4 m\/s \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646 \u062a\u0635\u0637\u062f\u0645 \u0628\u0643\u0631\u0629 \u0623\u062e\u0631\u0649 \u0643\u062a\u0644\u062a\u0647\u0627 1 kg \u062a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 2 m\/s \u0625\u0644\u0649 \u0627\u0644\u064a\u0633\u0627\u0631. \u0625\u0630\u0627 \u0627\u0644\u062a\u062d\u0645\u062a\u0627 \u0645\u0639\u064b\u0627\u060c \u0641\u0645\u0627 \u0647\u064a \u0633\u0631\u0639\u062a\u0647\u0645\u0627 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\u061f\",\"options\":[\"2 m\/s \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\",\"6 m\/s \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\",\"1 m\/s \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\",\"10 m\/s \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\"],\"correctAnswer\":\"2 m\/s \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0644\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629: m_1 v_1,i + m_2 v_2,i = (m_1 + m_2) v_f. \u0628\u0627\u0641\u062a\u0631\u0627\u0636 \u0627\u0644\u064a\u0645\u064a\u0646 \u0645\u0648\u062c\u0628\u064b\u0627: (2)(4) + (1)(-2) = (2+1) v_f. 8 - 2 = 3 v_f. 6 = 3 v_f. v_f = 2 m\/s. \u0628\u0645\u0627 \u0623\u0646\u0647\u0627 \u0645\u0648\u062c\u0628\u0629\u060c \u0641\u0647\u064a \u0625\u0644\u0649 \u0627\u0644\u064a\u0645\u064a\u0646.\"},\n {\"question\":\"\u062c\u0633\u0645 \u0643\u062a\u0644\u062a\u0647 'm' \u064a\u062a\u062d\u0631\u0643 \u0628\u0633\u0631\u0639\u0629 'v' \u064a\u062e\u0636\u0639 \u0644\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646 \u0631\u0623\u0633\u064a \u0645\u0639 \u062c\u0633\u0645 \u0645\u0645\u0627\u062b\u0644 (\u0643\u062a\u0644\u062a\u0647 'm') \u0643\u0627\u0646 \u0633\u0627\u0643\u0646\u064b\u0627 \u0641\u064a \u0627\u0644\u0628\u062f\u0627\u064a\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0644\u0644\u062c\u0633\u0645 \u0627\u0644\u062b\u0627\u0646\u064a \u0628\u0639\u062f \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u061f\",\"options\":[\"0\",\"\u00bd mv\u00b2\",\"\u00bc mv\u00b2\",\"mv\"],\"correctAnswer\":\"\u00bd mv\u00b2\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646 \u0628\u064a\u0646 \u062c\u0633\u0645\u064a\u0646 \u0645\u062a\u0633\u0627\u0648\u064a\u064a\u0646 \u0641\u064a \u0627\u0644\u0643\u062a\u0644\u0629 \u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0623\u062d\u062f\u0647\u0645\u0627 \u0633\u0627\u0643\u0646\u064b\u0627\u060c \u064a\u062a\u0628\u0627\u062f\u0644\u0627\u0646 \u0627\u0644\u0633\u0631\u0639\u0627\u062a. \u0644\u0630\u0627\u060c \u064a\u062a\u0648\u0642\u0641 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u0623\u0648\u0644\u060c \u0648\u064a\u062a\u062d\u0631\u0643 \u0627\u0644\u062c\u0633\u0645 \u0627\u0644\u062b\u0627\u0646\u064a \u0628\u0633\u0631\u0639\u0629 'v'. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0633\u062a\u0643\u0648\u0646 \u0637\u0627\u0642\u062a\u0647 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u00bd mv\u00b2.\"},\n {\"question\":\"\u0623\u064a \u0645\u0645\u0627 \u064a\u0644\u064a \u0644\u064a\u0633 \u062a\u0637\u0628\u064a\u0642\u064b\u0627 \u0623\u0648 \u0646\u062a\u064a\u062c\u0629 \u0644\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u062a\u0645\u062a \u0645\u0646\u0627\u0642\u0634\u062a\u0647 \u0641\u064a \u0627\u0644\u062f\u0631\u0633\u061f\",\"options\":[\"\u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u0623\u062c\u0647\u0632\u0629 \u0627\u0644\u062a\u064a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a.\",\"\u062a\u0635\u0645\u064a\u0645 \u0623\u062f\u0648\u0627\u062a \u0627\u0644\u062d\u0645\u0627\u064a\u0629 \u0645\u0646 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a.\",\"\u0642\u064a\u0627\u0633 \u0633\u0631\u0639\u0629 \u0627\u0644\u0645\u0642\u0630\u0648\u0641\u0627\u062a.\",\"\u062a\u0648\u0644\u064a\u062f \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u062f\u0627\u0626\u0645\u0629.\"],\"correctAnswer\":\"\u062a\u0648\u0644\u064a\u062f \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u062f\u0627\u0626\u0645\u0629.\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u064a\u0631\u0643\u0632 \u0627\u0644\u062f\u0631\u0633 \u0639\u0644\u0649 \u0641\u0647\u0645 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a (\u0645\u062b\u0644 \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a)\u060c \u0648\u0644\u064a\u0633 \u0639\u0644\u0649 \u0645\u0641\u0627\u0647\u064a\u0645 \u0645\u0633\u062a\u062d\u064a\u0644\u0629 \u0645\u062b\u0644 \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u062f\u0627\u0626\u0645\u0629 \u0644\u062a\u0648\u0644\u064a\u062f \u0627\u0644\u0637\u0627\u0642\u0629.\"},\n {\"question\":\"\u0625\u0630\u0627 \u0641\u0642\u062f \u0646\u0638\u0627\u0645 100 J \u0645\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u0623\u062b\u0646\u0627\u0621 \u062a\u0635\u0627\u062f\u0645\u060c \u0648\u0644\u0643\u0646 \u0638\u0644\u062a \u0643\u0645\u064a\u0629 \u062d\u0631\u0643\u062a\u0647 \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u0643\u0644\u064a\u0629 \u0645\u062d\u0641\u0648\u0638\u0629\u060c \u0641\u0623\u064a \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0644\u0645 \u064a\u062d\u062f\u062b \u0628\u0627\u0644\u062a\u0623\u0643\u064a\u062f\u061f\",\"options\":[\"\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629\",\"\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0645\u0631\u0646\",\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646\",\"\u062a\u0635\u0627\u062f\u0645 \u062a\u062a\u0634\u0648\u0647 \u0641\u064a\u0647 \u0627\u0644\u0623\u062c\u0633\u0627\u0645\"],\"correctAnswer\":\"\u062a\u0635\u0627\u062f\u0645 \u0645\u0631\u0646\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u064a\u064f\u0639\u0631\u0651\u0641 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646 \u0628\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629. \u0625\u0630\u0627 \u0641\u064f\u0642\u062f\u062a 100 J \u0645\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629\u060c \u0641\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062a\u0635\u0627\u062f\u0645\u064b\u0627 \u0645\u0631\u0646\u064b\u0627.\"},\n {\"question\":\"\u0627\u0641\u062a\u0631\u0636 \u0628\u0646\u062f\u0648\u0644\u064b\u0627 \u0642\u0630\u0641\u064a\u064b\u0627. \u0625\u0630\u0627 \u062a\u0636\u0627\u0639\u0641\u062a \u0643\u062a\u0644\u0629 \u0627\u0644\u0631\u0635\u0627\u0635\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u0638\u0644\u062a \u0633\u0631\u0639\u062a\u0647\u0627 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0648\u0643\u062a\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u062e\u0634\u0628\u064a\u0629 \u0643\u0645\u0627 \u0647\u064a\u060c \u0641\u0643\u064a\u0641 \u0633\u064a\u062a\u063a\u064a\u0631 \u0623\u0642\u0635\u0649 \u0627\u0631\u062a\u0641\u0627\u0639 'h' \u0627\u0644\u0630\u064a \u064a\u0635\u0644 \u0625\u0644\u064a\u0647 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0634\u062a\u0631\u0643\u061f\",\"options\":[\"\u0633\u064a\u0628\u0642\u0649 'h' \u0643\u0645\u0627 \u0647\u0648.\",\"\u0633\u064a\u0632\u062f\u0627\u062f 'h' \u0628\u0645\u0642\u062f\u0627\u0631 \u0639\u0627\u0645\u0644\u064a\u0646 (\u0636\u0639\u0641).\",\"\u0633\u064a\u0632\u062f\u0627\u062f 'h' \u0628\u0645\u0642\u062f\u0627\u0631 \u0623\u0643\u0628\u0631 \u0645\u0646 \u0639\u0627\u0645\u0644\u064a\u0646 (\u0636\u0639\u0641\u064a\u0646).\",\"\u0633\u064a\u0646\u062e\u0641\u0636 'h'.\"],\"correctAnswer\":\"\u0633\u064a\u0632\u062f\u0627\u062f 'h' \u0628\u0645\u0642\u062f\u0627\u0631 \u0623\u0643\u0628\u0631 \u0645\u0646 \u0639\u0627\u0645\u0644\u064a\u0646 (\u0636\u0639\u0641\u064a\u0646).\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0644\u0640 'h' \u0647\u064a h = [m_A v_A,i \/ (m_A + m_B)]\u00b2 \/ (2g). \u0625\u0630\u0627 \u062a\u0636\u0627\u0639\u0641\u062a m_A \u0625\u0644\u0649 2m_A\u060c \u0641\u0625\u0646 \u0627\u0644\u0643\u0633\u0631 [2m_A \/ (2m_A + m_B)] \u0633\u064a\u0643\u0648\u0646 \u0623\u0643\u0628\u0631 \u0645\u0646 [m_A \/ (m_A + m_B)]. \u0648\u0644\u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u0643\u0633\u0631 \u064a\u062a\u0645 \u062a\u0631\u0628\u064a\u0639\u0647\u060c \u0641\u0625\u0646 \u0627\u0644\u0627\u0631\u062a\u0641\u0627\u0639 \u0633\u064a\u0632\u062f\u0627\u062f \u0628\u0623\u0643\u062b\u0631 \u0645\u0646 \u0636\u0639\u0641. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a m_B \u0623\u0643\u0628\u0631 \u0628\u0643\u062b\u064a\u0631 \u0645\u0646 m_A\u060c \u0641\u0625\u0646 \u0645\u0636\u0627\u0639\u0641\u0629 m_A \u0633\u062a\u0636\u0627\u0639\u0641 \u062a\u0642\u0631\u064a\u0628\u064b\u0627 v_f\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0632\u064a\u0627\u062f\u0629 h \u0628\u0645\u0642\u062f\u0627\u0631 4 \u0645\u0631\u0627\u062a (\u062d\u064a\u062b h \u062a\u062a\u0646\u0627\u0633\u0628 \u0645\u0639 v_f\u00b2).\"},\n {\"question\":\"\u0623\u064a \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u062a\u0645\u062b\u0644 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629 \u0628\u064a\u0646 \u062c\u0633\u0645\u064a\u0646 (A \u0648 B)\u061f\",\"options\":[\"\u00bd m_A v_{A,i}\u00b2 + \u00bd m_B v_{B,i}\u00b2 = \u00bd (m_A + m_B) v_f\u00b2\",\"m_A v_{A,i} + m_B v_{B,i} = (m_A + m_B) v_f\",\"v_{A,i} + v_{A,f} = v_{B,i} + v_{B,f}\",\"m_A v_{A,i} = m_A v_{A,f}\"],\"correctAnswer\":\"m_A v_{A,i} + m_B v_{B,i} = (m_A + m_B) v_f\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"\u0647\u0630\u0647 \u0627\u0644\u0635\u064a\u063a\u0629 \u0645\u0639\u0637\u0627\u0629 \u0635\u0631\u0627\u062d\u0629 \u0641\u064a \u0642\u0633\u0645 '\u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0639\u062f\u064a\u0645 \u0627\u0644\u0645\u0631\u0648\u0646\u0629'\u060c \u062d\u064a\u062b \u062a\u062a\u062d\u062f \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0644\u062a\u0634\u0643\u0644 \u0643\u062a\u0644\u0629 \u0648\u0627\u062d\u062f\u0629 (m_A + m_B) \u0628\u0633\u0631\u0639\u0629 \u0646\u0647\u0627\u0626\u064a\u0629 \u0645\u0634\u062a\u0631\u0643\u0629 (v_f).\"},\n {\"question\":\"\u0645\u0627 \u0647\u064a \u0627\u0644\u0633\u0645\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0645\u064a\u0632 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646 \u0639\u0646 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646\u061f\",\"options\":[\"\u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a.\",\"\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629.\",\"\u0627\u0644\u062a\u0635\u0627\u0642 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0628\u0628\u0639\u0636\u0647\u0627.\",\"\u0645\u062f\u0629 \u0627\u0644\u062a\u0635\u0627\u062f\u0645.\"],\"correctAnswer\":\"\u062d\u0641\u0638 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629.\",\"difficulty\":\"\u0633\u0647\u0644\",\"explanation\":\"\u0627\u0644\u0641\u0631\u0642 \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u0647\u0648 \u0623\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u062d\u0631\u0643\u064a\u0629 \u062a\u064f\u062d\u0641\u0638 \u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u0645\u0631\u0646\u0629 \u0648\u0644\u0643\u0646 \u0644\u0627 \u062a\u064f\u062d\u0641\u0638 \u0641\u064a \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\u0629. \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u064a\u0646\u0637\u0628\u0642 \u0639\u0644\u0649 \u0643\u0644\u064a\u0647\u0645\u0627 (\u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0632\u0648\u0644\u0629).\"},\n {\"question\":\"\u0625\u0630\u0627 \u0623\u064f\u0637\u0644\u0642\u062a \u0631\u0635\u0627\u0635\u0629 \u0643\u062a\u0644\u062a\u0647\u0627 0.01 kg \u0641\u064a \u0643\u062a\u0644\u0629 \u0628\u0646\u062f\u0648\u0644 \u0643\u062a\u0644\u062a\u0647\u0627 0.99 kg\u060c \u0648\u062a\u0623\u0631\u062c\u062d\u062a \u0627\u0644\u0643\u062a\u0644\u0629 \u0625\u0644\u0649 \u0627\u0631\u062a\u0641\u0627\u0639 0.05 m\u060c \u0641\u0645\u0627 \u0647\u064a \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0631\u0635\u0627\u0635\u0629 \u0648\u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0645\u0634\u062a\u0631\u0643 (vf) \u0641\u0648\u0631\u064b\u0627 \u0628\u0639\u062f \u0627\u0644\u0627\u0635\u0637\u062f\u0627\u0645\u061f (\u0627\u0633\u062a\u062e\u062f\u0645 g = 9.8 m\/s\u00b2)\",\"options\":[\"0.7 m\/s\",\"0.99 m\/s\",\"1.0 m\/s\",\"1.5 m\/s\"],\"correctAnswer\":\"0.99 m\/s\",\"difficulty\":\"\u0645\u062a\u0648\u0633\u0637\",\"explanation\":\"v_f = \u221a(2gh) = \u221a(2 \u00d7 9.8 \u00d7 0.05) = \u221a(0.98) \u2248 0.99 m\/s. \u0647\u0630\u0627 \u062a\u0637\u0628\u064a\u0642 \u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629.\"},\n {\"question\":\"\u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0633\u0624\u0627\u0644 34\u060c \u0645\u0627 \u0647\u064a \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0644\u0644\u0631\u0635\u0627\u0635\u0629\u061f\",\"options\":[\"99 m\/s\",\"100 m\/s\",\"10 m\/s\",\"1 m\/s\"],\"correctAnswer\":\"99 m\/s\",\"difficulty\":\"\u0635\u0639\u0628\",\"explanation\":\"\u0645\u0646 \u0627\u0644\u0633\u0624\u0627\u0644 34\u060c v_f = 0.99 m\/s. \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0644\u0644\u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u0649: m_A v_{A,i} = (m_A + m_B) v_f. (0.01 kg) v_{A,i} = (0.01 kg + 0.99 kg) (0.99 m\/s). (0.01) v_{A,i} = (1.00) (0.99). v_{A,i} = 0.99 \/ 0.01 = 99 m\/s.\"}\n ];\n\n const totalQuestions = quizData.length;\n let userAnswers = new Array(totalQuestions).fill(\"\");\n let currentIndex = 0;\n let isSubmitted = false;\n\n const dynamicArea = document.getElementById(\"dynamic-question-area\");\n const currentQSpan = document.getElementById(\"current-q-num\");\n const totalQSpan = document.getElementById(\"total-q-count\");\n const difficultyBadge = document.getElementById(\"difficulty-badge\");\n const answeredCountSpan = document.getElementById(\"answered-count\");\n const progressPercentSpan = document.getElementById(\"progress-percent\");\n const progressBar = document.getElementById(\"progress-bar\");\n const resultPanel = document.getElementById(\"result-panel\");\n const finalScoreSpan = document.getElementById(\"final-score-text\");\n const resultMsgSpan = document.getElementById(\"result-message\");\n\n const firstBtn = document.getElementById(\"first-btn\");\n const prevBtn = document.getElementById(\"prev-btn\");\n const nextBtn = document.getElementById(\"next-btn\");\n const lastBtn = document.getElementById(\"last-btn\");\n const submitBtn = document.getElementById(\"submit-final-btn\");\n const resetBtn = document.getElementById(\"reset-exam-btn\");\n\n totalQSpan.textContent = totalQuestions;\n\n function updateProgressStats() {\n const answered = userAnswers.filter(a => a !== \"\").length;\n answeredCountSpan.textContent = answered;\n const percent = Math.round((answered \/ totalQuestions) * 100);\n progressPercentSpan.textContent = `${percent}%`;\n progressBar.style.width = `${percent}%`;\n }\n\n function saveCurrentSelected() {\n const selectedRadio = document.querySelector(`input[name=\"current-question-radio\"]:checked`);\n if (selectedRadio) {\n userAnswers[currentIndex] = selectedRadio.value;\n }\n updateProgressStats();\n }\n\n function escapeHtml(str) {\n if(!str) return \"\";\n return str.replace(\/[&<>]\/g, function(m) {\n if (m === '&') return '&';\n if (m === '<') return '<';\n if (m === '>') return '>';\n return m;\n });\n }\n\n function renderCurrentQuestion() {\n const q = quizData[currentIndex];\n const selectedAns = userAnswers[currentIndex];\n const isCorrectMode = isSubmitted;\n let optionsHtml = \"\";\n q.options.forEach((opt, idx) => {\n const isSelected = (selectedAns === opt);\n let additionalClasses = \"\";\n let disabledAttr = isCorrectMode ? \"disabled\" : \"\";\n let radioChecked = isSelected ? \"checked\" : \"\";\n if (isCorrectMode) {\n const isCorrectAnswer = (opt === q.correctAnswer);\n if (isCorrectAnswer) additionalClasses = \"correct-highlight\";\n else if (isSelected && !isCorrectAnswer) additionalClasses = \"incorrect-highlight\";\n }\n optionsHtml += `\n <div class=\"option-btn ${additionalClasses} ${isCorrectMode ? 'disabled-opt' : ''}\">\n <input type=\"radio\" name=\"current-question-radio\" value=\"${escapeHtml(opt)}\" id=\"opt_${idx}\" ${radioChecked} ${disabledAttr} class=\"option-radio\">\n <label for=\"opt_${idx}\" class=\"option-text cursor-pointer flex-1\">${opt}<\/label>\n <\/div>\n `;\n });\n let explanationHtml = \"\";\n if (isCorrectMode) {\n explanationHtml = `<div class=\"explanation-box\"><span class=\"font-bold text-indigo-300\">📖 \u0627\u0644\u062a\u0648\u0636\u064a\u062d:<\/span><br>${escapeHtml(q.explanation || \"\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0635\u062d\u064a\u062d\u0629: \" + q.correctAnswer)}<\/div>`;\n }\n const difficultyColor = q.difficulty === '\u0633\u0647\u0644' ? 'text-green-300' : q.difficulty === '\u0645\u062a\u0648\u0633\u0637' ? 'text-yellow-300' : 'text-rose-300';\n const fullHtml = `\n <div class=\"mb-2\">\n <div class=\"flex justify-between items-start flex-wrap gap-2\">\n <h2 class=\"text-xl md:text-2xl font-semibold text-white leading-tight\">${q.question}<\/h2>\n <span class=\"badge-difficulty ${difficultyColor} border border-white\/20\">⭐ ${q.difficulty || '\u0645\u062a\u0648\u0633\u0637'}<\/span>\n <\/div>\n <\/div>\n <div class=\"mt-4 space-y-2\">${optionsHtml}<\/div>\n ${explanationHtml}\n `;\n dynamicArea.innerHTML = fullHtml;\n if (!isCorrectMode) {\n const radioInputs = document.querySelectorAll(`input[name=\"current-question-radio\"]`);\n radioInputs.forEach(radio => {\n radio.addEventListener(\"change\", () => {\n userAnswers[currentIndex] = radio.value;\n updateProgressStats();\n });\n });\n }\n currentQSpan.textContent = currentIndex + 1;\n difficultyBadge.innerHTML = `<span class=\"text-indigo-200\">\u0627\u0644\u0635\u0639\u0648\u0628\u0629:<\/span> <strong class=\"${difficultyColor}\">${q.difficulty || '\u0645\u062a\u0648\u0633\u0637'}<\/strong>`;\n updateProgressStats();\n }\n\n function goToQuestion(newIndex) {\n if (!isSubmitted) saveCurrentSelected();\n currentIndex = Math.min(totalQuestions - 1, Math.max(0, newIndex));\n renderCurrentQuestion();\n updateNavButtonsState();\n }\n\n function updateNavButtonsState() {\n firstBtn.disabled = (currentIndex === 0);\n prevBtn.disabled = (currentIndex === 0);\n nextBtn.disabled = (currentIndex === totalQuestions - 1);\n lastBtn.disabled = (currentIndex === totalQuestions - 1);\n }\n\n function calculateAndShowResult() {\n if (isSubmitted) return;\n saveCurrentSelected();\n let score = 0;\n for (let i = 0; i < totalQuestions; i++) {\n if (userAnswers[i] === quizData[i].correctAnswer) score++;\n }\n isSubmitted = true;\n resultPanel.classList.remove(\"hidden\");\n finalScoreSpan.innerText = `${score} \/ ${totalQuestions}`;\n let percentVal = Math.round((score \/ totalQuestions) * 100);\n if (percentVal >= 70) resultMsgSpan.innerText = \"🏆 \u0645\u0645\u062a\u0627\u0632! \u0625\u062a\u0642\u0627\u0646 \u0631\u0627\u0626\u0639 \u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a 🚀\";\n else if (percentVal >= 50) resultMsgSpan.innerText = \"📘 \u062c\u064a\u062f \u062c\u062f\u0627\u064b\u060c \u0631\u0627\u062c\u0639 \u0628\u0639\u0636 \u0627\u0644\u062a\u0641\u0627\u0635\u064a\u0644 \u062d\u0648\u0644 \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0648\u0623\u0646\u0648\u0627\u0639\u0647\u0627.\";\n else resultMsgSpan.innerText = \"📚 \u0641\u0631\u0635\u0629 \u0631\u0627\u0626\u0639\u0629 \u0644\u0644\u0645\u0631\u0627\u062c\u0639\u0629! \u0623\u0639\u062f \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u062a\u0635\u0627\u062f\u0645 \u0627\u0644\u0645\u0631\u0646 \u0648\u0627\u0644\u063a\u064a\u0631 \u0645\u0631\u0646 \u0648\u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a.\";\n renderCurrentQuestion();\n submitBtn.disabled = true;\n submitBtn.classList.add(\"opacity-50\", \"cursor-not-allowed\");\n }\n\n function resetExam() {\n isSubmitted = false;\n userAnswers = new Array(totalQuestions).fill(\"\");\n currentIndex = 0;\n resultPanel.classList.add(\"hidden\");\n submitBtn.disabled = false;\n submitBtn.classList.remove(\"opacity-50\", \"cursor-not-allowed\");\n renderCurrentQuestion();\n updateProgressStats();\n updateNavButtonsState();\n }\n\n firstBtn.addEventListener(\"click\", () => goToQuestion(0));\n prevBtn.addEventListener(\"click\", () => goToQuestion(currentIndex - 1));\n nextBtn.addEventListener(\"click\", () => goToQuestion(currentIndex + 1));\n lastBtn.addEventListener(\"click\", () => goToQuestion(totalQuestions - 1));\n submitBtn.addEventListener(\"click\", calculateAndShowResult);\n resetBtn.addEventListener(\"click\", resetExam);\n\n renderCurrentQuestion();\n updateNavButtonsState();\n<\/script>\n<\/body>\n<\/html>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u062e\u062a\u0628\u0627\u0631 \u062a\u0641\u0627\u0639\u0644\u064a: \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0644\u0649 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a | \u062a\u0635\u0627\u062f\u0645\u0627\u062a – \u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a ⚡ \u0627\u062e\u062a\u0628\u0627\u0631: \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0639\u0644\u0649 \u062d\u0641\u0638 \u0627\u0644\u0632\u062e\u0645 \u0627\u0644\u062e\u0637\u064a \u0627\u0644\u062b\u0627\u0646\u0648\u064a – \u0627\u0644\u0635\u0641 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0634\u0631 – \u0627\u0644\u0645\u0633\u0627\u0631 \u0627\u0644\u0623\u0643\u0627\u062f\u064a\u0645\u064a | \u0627\u0644\u062a\u0635\u0627\u062f\u0645\u0627\u062a \u0627\u0644\u0645\u0631\u0646\u0629\u060c \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u0646\u0629\u060c \u0639\u062f\u064a\u0645\u0629 \u0627\u0644\u0645\u0631\u0648\u0646\u0629 \u0648\u0627\u0644\u0628\u0646\u062f\u0648\u0644 \u0627\u0644\u0642\u0630\u0641\u064a 📋 \u0627\u0644\u0633\u0624\u0627\u0644 1 \/ 0 \u2713 \u0627\u0644\u0645\u062c\u0627\u0628 \u0639\u0646\u0647: 0 \u0645\u0646 0 \u0627\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u0627\u0644\u0623\u0633\u0626\u0644\u0629 0% ⏮ \u0627\u0644\u0623\u0648\u0644 ▶ \u0627\u0644\u0633\u0627\u0628\u0642 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-18805","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/pages\/18805","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/comments?post=18805"}],"version-history":[{"count":1,"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/pages\/18805\/revisions"}],"predecessor-version":[{"id":18806,"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/pages\/18805\/revisions\/18806"}],"wp:attachment":[{"href":"https:\/\/smartedujo.com\/ar\/wp-json\/wp\/v2\/media?parent=18805"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}