{"id":309,"date":"2022-03-24T02:02:36","date_gmt":"2022-03-24T02:02:36","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=309"},"modified":"2022-03-31T20:05:45","modified_gmt":"2022-03-31T14:05:45","slug":"collision","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/collision\/","title":{"rendered":"\u09b8\u0982\u0998\u09b0\u09cd\u09b7\u0964 Collision"},"content":{"rendered":"\r\n

\u09b8\u0982\u099c\u09cd\u099e\u09be :<\/strong> \u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u09a6\u09bf \u098f\u0995\u099f\u09be \u0996\u09c1\u09ac \u09ac\u09a1\u09bc \u09ae\u09be\u09a8\u09c7\u09b0 \u09ac\u09b2\u09c7 \u0996\u09c1\u09ac \u0985\u09b2\u09cd\u09aa \u09b8\u09ae\u09af\u09bc\u09c7\u09b0 \u099c\u09a8\u09cd\u09af\u09c7 \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09c7 \u09a4\u09be\u09b9\u09b2\u09c7 \u09a4\u09be\u0995\u09c7 \u09ac\u09b2\u09be \u09b9\u09af\u09bc \u09b8\u0982\u0998\u09b0\u09cd\u09b7 (Collision)<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be: <\/strong>\u09af\u09c7\u09ae\u09a8 \u09b9\u09be\u09a4\u09c1\u09a1\u09bc\u09bf \u09a6\u09bf\u09af\u09bc\u09c7 \u09aa\u09c7\u09b0\u09c7\u0995\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09be \u09ac\u09be \u0995\u09cd\u09b0\u09bf\u0995\u09c7\u099f \u0996\u09c7\u09b2\u09be\u09af\u09bc \u09ac\u09cd\u09af\u09be\u099f \u09a6\u09bf\u09af\u09bc\u09c7 \u09ac\u09b2\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09be\u0964 \u098f\u0996\u09be\u09a8\u09c7 \u09b9\u09be\u09a4\u09c1\u09a1\u09bc\u09bf \u09ac\u09be \u09ac\u09cd\u09af\u09be\u099f \u0996\u09c1\u09ac \u0985\u09b2\u09cd\u09aa \u09b8\u09ae\u09af\u09bc\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09aa\u09c7\u09b0\u09c7\u0995 \u09ac\u09be \u09ac\u09b2\u09c7\u09b0 \u09b8\u0982\u09b8\u09cd\u09aa\u09b0\u09cd\u09b6\u09c7 \u09a5\u09be\u0995\u09c7 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u0996\u09c1\u09ac \u09ac\u09a1\u09bc \u09ae\u09be\u09a8\u09c7\u09b0 \u09ac\u09b2\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09c7\u0964 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7 \u0998\u09be\u09a4 \u09ac\u09b2 <\/strong>\u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be \u0995\u09b0\u09c7\u0964<\/p>\r\n

\u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09ae\u09c2\u09b2 \u09a7\u09be\u09b0\u09a3\u09be\u099f\u09bf \u09b9\u09b2\u09cb: \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u0997\u09c1\u09b2\u09cb\u09b0 \u0985\u09a5\u09ac\u09be \u0985\u09a8\u09cd\u09a4\u09a4 \u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf \u09b9\u09a0\u09be\u09ce \u098f\u09ae\u09a8\u09ad\u09be\u09ac\u09c7 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09ac\u09c7 \u09af\u09c7 \u0986\u09ae\u09b0\u09be \u201c\u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac (before collision)\u201d \u098f\u09ac\u0982 \u201c\u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09b0(after collision)\u201d \u0995\u09c7 \u09b8\u09c1\u09b8\u09cd\u09aa\u09b7\u09cd\u099f\u09ad\u09be\u09ac\u09c7 \u0986\u09b2\u09be\u09a6\u09be \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09bf\u0964 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be \u09b8\u09c2\u09a4\u09cd\u09b0<\/strong> \u0996\u09be\u099f\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7\u09b0 \u09ae\u09cb\u099f \u09ad\u09b0\u09ac\u09c7\u0997 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09b0\u09c7\u09b0 \u09ae\u09cb\u099f \u09ad\u09b0\u09ac\u09c7\u0997 \u098f\u0995\u0987 \u09a5\u09be\u0995\u09c7\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09a5\u09be\u0995\u09c7 \u0995\u09bf\u09a8\u09be \u09a4\u09be\u09b0 \u0989\u09aa\u09b0 \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u0995\u09b0\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u0995\u09c7 \u09a6\u09c1\u0987 \u09ad\u09be\u0997 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u00a0 ( elastic collision) \u098f\u09ac\u0982 \u0985\u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 ( inelastic collision)\u0964 \u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09b8\u09be\u09a5\u09c7 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u0993 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09a5\u09be\u0995\u09c7 \u0985\u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7 \u09ad\u09b0\u09ac\u09c7\u0997 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09b9\u09af\u09bc, \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09a5\u09be\u0995\u09c7 \u09a8\u09be\u0964<\/p>\r\n\r\n\r\n\r\n

\u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 (Elastic collision):<\/strong><\/h2>\r\n\r\n\r\n\r\n

\u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 \u09b9\u09b2\u09c7 \u09af\u09a6\u09bf \u09ae\u09cb\u099f \u0997\u09a4\u09bf \u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09a5\u09be\u0995\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09af\u09a6\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u0997\u09c1\u09b2\u09cb\u09b0 \u09ae\u09cb\u099f \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u09a8\u09be \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09a4\u09be\u0995\u09c7 \u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 (elastic collision) \u09ac\u09b2\u09c7 \u0964<\/p>\r\n\r\n\r\n\r\n

\u09a7\u09b0\u09be \u09af\u09be\u0995, m_1<\/span> \u0993 m_2<\/span> \u09ad\u09b0\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 \u098f\u0995\u0987 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u09ac\u09b0\u09be\u09ac\u09b0 \u099a\u09b2\u099b\u09c7\u0964 m_2<\/span> \u098f\u09b0 \u09ac\u09c7\u0997 m_1<\/span> \u098f\u09b0 \u09ac\u09c7\u0997\u09c7\u09b0 \u099a\u09c7\u09af\u09bc\u09c7 \u09ac\u09c7\u09b6\u09bf \u09b9\u09b2\u09c7 \u099a\u09b2\u09a4\u09c7 \u099a\u09b2\u09a4\u09c7 \u0995\u09cb\u09a8\u09cb \u098f\u0995 \u09b8\u09ae\u09af\u09bc m_2<\/span> \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf m_1<\/span> \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u0995\u09c7 \u09a7\u09be\u0995\u09cd\u0995\u09be \u09a6\u09bf\u09ac\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09ac\u09b8\u09cd\u09a4\u09c1\u09a6\u09cd\u09ac\u09af\u09bc \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7 \u09b2\u09bf\u09aa\u09cd\u09a4 \u09b9\u09ac\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

m_1<\/span> \u0993 m_2<\/span> \u09ad\u09b0\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u0986\u0997\u09c7 \u09ac\u09c7\u0997 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 v_{1i}<\/span> \u0993 v_{2i}<\/span> \u098f\u09ac\u0982 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09b0\u09c7 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09ac\u09c7\u0997 v_{1f}<\/span> \u0993 v_{2f}<\/span> \u09b9\u09b2\u09c7 (\u099a\u09bf\u09a4\u09cd\u09b0), \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3 \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc,<\/p>\r\n\r\n\r\n\r\n

m_1 v_{1i} + m_2 v_{2i} = m_1 v_{1f} + m_2 v_{2f}<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.44)<\/p>\r\n\r\n\r\n\r\n

\u0986\u09ac\u09be\u09b0, \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3 \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc,<\/p>\r\n\r\n\r\n\r\n

\\frac{1}{2}m_1 v_{1i}^2 + \\frac{1}{2} m_2 v_{2i}^2 = \\frac{1}{2} m_1 v_{1f}^2 + \\frac{1}{2} m_2 v_{2f}^2<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.45)<\/p>\r\n\r\n\r\n\r\n

\"elastic-collision\"<\/figure>\r\n\r\n\r\n\r\n

(4.44) \u0993 (4.45) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc,\u00a0<\/p>\r\n\r\n\r\n\r\n

m_1(v_{1i}-v_{1f}) = m_2 (v_{2f}-v_{2i})<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.46)<\/p>\r\n\r\n\r\n\r\n

m_1(v_{1i}^2-v_{1f}^2) = m_2 (v_{2f}^2-v_{2i}^2)<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.47)<\/p>\r\n\r\n\r\n\r\n

(4.47) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 (4.46) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a6\u09bf\u09af\u09bc\u09c7 \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/p>\r\n\r\n\r\n\r\nv_{1i}+v_{1f}= v_{2f}+v_{2i}<\/span>\r\n\r\n\r\n\r\n

\u09ac\u09be, v_{1i}-v_{2i}=v_{2f}-v_{1f}<\/span> \u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.48)<\/p>\r\n\r\n\r\n\r\n

\u00a0(4.48) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u09a6\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc \u09af\u09c7, \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u0986\u0997\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09a6\u09c1\u099f\u09bf \u09af\u09c7 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09ac\u09c7\u0997 \u09a8\u09bf\u09af\u09bc\u09c7 \u0995\u09be\u099b\u09be\u0995\u09be\u099b\u09bf \u0986\u09b8\u09c7 \u098f\u09ac\u0982 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09a6\u09c1\u099f\u09bf \u09af\u09c7 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09ac\u09c7\u0997 \u09a8\u09bf\u09af\u09bc\u09c7 \u09a6\u09c2\u09b0\u09c7 \u09b8\u09b0\u09c7 \u09af\u09be\u09af\u09bc \u09a4\u09be\u09b0 \u09ae\u09be\u09a8 \u09b8\u09ae\u09be\u09a8\u0964\u00a0<\/p>\r\n\r\n\r\n\r\n

(4.48) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc,<\/p>\r\n\r\n\r\n\r\n

v_{2f}=v_{1i}+v_{1f}-v_{2i}<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.49)<\/p>\r\n\r\n\r\n\r\n

(4.49) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 (4.46) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a6\u09bf\u09af\u09bc\u09c7 \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/p>\r\n\r\n\r\n\r\nm_1 (v_{1i}-v_{1f})=m_2(v_{1i}+v_{1f}-v_{2i}-v_{2i})<\/span>\r\n\r\n\r\n\r\n

\u09ac\u09be, m_1 v_{1i}-m_1v_{1f} = m_2v_{1i}+m_2v_{1f}-2m_2v_{2i}<\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, (m_1+m_2)v_{1f}=(m_1-m_2)v_{1i}+m_2v_{1f}+2m_2v_{2i}<\/span><\/p>\r\n\r\n\r\n\r\n

\\therefore v_{1f}=(\\frac{2m_2}{m_1+m_2})v_{2i}+v_{2f}(\\frac{m_1-m_2}{m_1+m_2})v_{1i}<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.50)<\/p>\r\n\r\n\r\n\r\n

(4.48) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc, v_{1f}=v_{2f}+v_{2i}-v_{1i}<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.51)<\/p>\r\n\r\n\r\n\r\n

(4.51) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 (4.46) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a6\u09bf\u09af\u09bc\u09c7 \u09ad\u09be\u0997 \u0995\u09b0\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/p>\r\n\r\n\r\n\r\nm_1(v_{1i}-v_{2f}-v_{2i}+v_{1i})=m(v_{2f}-v_{2i})<\/span>\r\n\r\n\r\n\r\n

\u09ac\u09be, 2m_1v_{1i}-m_1v_{2f}-m_1v_{2i}=mv_{2f}-m_2v_{2i}<\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, (m_1+m_2)v_{2f}=(m_2-m_1)v_{2i}+2m_1v_{1i}[\/katkex]<\/p>\r\n\r\n\r\n\r\n<p>\u09ac\u09be, [katex]\\therefore v_{2f}=(\\frac{2m_2}{m_1+m_2})v_{1i}+v_{2f}=(\\frac{m_2-m_1}{m_1+m_2})v_{2i}<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.52)<\/p>\r\n\r\n\r\n\r\n

\u09ac\u09bf\u09b6\u09c7\u09b7 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09b8\u09ae\u09c2\u09b9 :<\/strong><\/h3>\r\n\r\n\r\n\r\n

\u09e7. v_{1i}[\\katex] \u0993 [katex]v_{2i}<\/span> \u09b8\u09ae\u09be\u09a8 \u09b9\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09a6\u09c1\u099f\u09bf\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u09b8\u0982\u0998\u09b0\u09cd\u09b7 \u09b9\u09ac\u09c7 \u09a8\u09be\u0964\u00a0<\/p>\r\n\r\n\r\n\r\n

\u09e8. \u09ac\u09b8\u09cd\u09a4\u09c1 \u09a6\u09c1\u099f\u09bf\u09b0 \u09ad\u09b0 \u09b8\u09ae\u09be\u09a8 \u09b9\u09b2\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce m_1=m_2<\/span> \u09b9\u09b2\u09c7 (4.50) \u0993 (4.52) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc, v_{1f}=v_{2i}<\/span> \u098f\u09ac\u0982 v_{2f}=v_{1i}<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.53)<\/p>\r\n\r\n\r\n\r\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09ae\u09be\u09a8 \u09ad\u09b0\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 (collision) \u09b9\u09b2\u09c7 \u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 \u0985\u09aa\u09b0\u099f\u09bf\u09b0 \u09ac\u09c7\u0997 \u09aa\u09cd\u09b0\u09be\u09aa\u09cd\u09a4 \u09b9\u09af\u09bc \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09ac\u09b8\u09cd\u09a4\u09c1\u09a6\u09cd\u09ac\u09af\u09bc \u09ac\u09c7\u0997 \u09ac\u09bf\u09a8\u09bf\u09ae\u09af\u09bc \u0995\u09b0\u09c7\u0964<\/strong><\/p>\r\n\r\n\r\n\r\n

\u09e9. \u09af\u09a6\u09bf \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7 m_1<\/span> \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7, \u0985\u09b0\u09cd\u09a5\u09be\u09ce v_{1i}=0<\/span> \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 (4.50) \u0993 (4.52) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,<\/p>\r\n\r\n\r\n\r\n

v_{1f}=(\\frac{2m_2}{m_1+m_2})v_{2i}<\/span> \u098f\u09ac\u0982 v_{2f}=(\\frac{m_2-m_1}{m_1+m_2})v_{2i}<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.54)<\/p>\r\n\r\n\r\n\r\n

\u098f\u0996\u09a8 \u09af\u09a6\u09bf m_1=m_2<\/span> \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 v_{1f}=v_{2i}<\/span> \u098f\u09ac\u0982 v_{2f}=0<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.55)<\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09a6\u09c1\u099f\u09bf \u09b8\u09ae\u09be\u09a8 \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u098f\u0995\u099f\u09bf \u09af\u09a6\u09bf \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7 \u09a4\u09be\u09b9\u09b2\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09ab\u09b2\u09c7 \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u09a5\u09c7\u09ae\u09c7 \u09af\u09be\u09ac\u09c7 \u098f\u09ac\u0982 \u09a5\u09c7\u09ae\u09c7 \u09a5\u09be\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u099f\u09bf \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u09c7 \u09ac\u09c7\u0997\u09c7 \u0986\u09b8\u099b\u09bf\u09b2 \u09b8\u09c7\u0987 \u09ac\u09c7\u0997 \u09a8\u09bf\u09af\u09bc\u09c7 \u099a\u09b2\u09a4\u09c7 \u09a5\u09be\u0995\u09ac\u09c7\u0964<\/strong><\/p>\r\n\r\n\r\n\r\n

\u0995\u09cb\u09a8\u09cb \u09ae\u09b8\u09c3\u09a3 \u09a4\u09b2\u09c7 \u09a5\u09c7\u09ae\u09c7 \u09a5\u09be\u0995\u09be \u098f\u0995\u099f\u09bf \u09ae\u09be\u09b0\u09cd\u09ac\u09c7\u09b2\u0995\u09c7 \u09af\u09a6\u09bf \u09aa\u09c7\u099b\u09a8 \u09a5\u09c7\u0995\u09c7 \u0985\u09a8\u09cd\u09af \u09ae\u09be\u09b0\u09cd\u09ac\u09c7\u09b2 \u09a6\u09bf\u09af\u09bc\u09c7 \u0985\u09a8\u09c1\u09ad\u09c2\u09ae\u09bf\u0995\u09ad\u09be\u09ac\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09a5\u09c7\u09ae\u09c7 \u09a5\u09be\u0995\u09be \u09ae\u09be\u09b0\u09cd\u09ac\u09c7\u09b2\u099f\u09bf \u0986\u0997\u09a4 \u09ae\u09be\u09b0\u09cd\u09ac\u09c7\u09b2\u09c7\u09b0 \u09ac\u09c7\u0997 \u09a8\u09bf\u09af\u09bc\u09c7 \u099a\u09b2\u09a4\u09c7 \u09a5\u09be\u0995\u09c7 \u098f\u09ac\u0982 \u0986\u0997\u09a4 \u09ae\u09be\u09b0\u09cd\u09ac\u09c7\u09b2\u099f\u09bf \u09a5\u09c7\u09ae\u09c7 \u09af\u09be\u09af\u09bc\u0964\u00a0<\/p>\r\n\r\n\r\n\r\n

\u09ea. \u09af\u09a6\u09bf \u09b8\u09cd\u09a5\u09bf\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09a4\u09c1\u09b2\u09a8\u09be\u09af\u09bc \u0985\u09a8\u09c7\u0995\u0997\u09c1\u09a3 \u09ac\u09c7\u09b6\u09bf \u09b9\u09af\u09bc \u0985\u09b0\u09cd\u09a5\u09be\u09ce m_1>>m_2<\/span> \u09b9\u09af\u09bc, \u09a4\u09be\u09b9\u09b2\u09c7 (4.54) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\r\n\r\n\r\n\r\n

v_{1f}\\cong 0<\/span> \u098f\u09ac\u0982 v_{2f}= - v_{2i}<\/span> \u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.56)<\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u098f\u0995\u099f\u09bf \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u09a6\u09bf \u098f\u0995\u099f\u09bf \u09a5\u09c7\u09ae\u09c7 \u09a5\u09be\u0995\u09be \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09c7 \u09a4\u09be\u09b9\u09b2\u09c7 \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1 \u09aa\u09cd\u09b0\u09be\u09af\u09bc \u098f\u0995\u0987 \u09ac\u09c7\u0997\u09c7 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09a6\u09bf\u0995\u09c7 \u09ab\u09bf\u09b0\u09c7 \u0986\u09b8\u09c7 \u098f\u09ac\u0982 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u09b8\u09cd\u09a5\u09bf\u09b0\u0987 \u09a5\u09c7\u0995\u09c7 \u09af\u09be\u09af\u09bc\u0964<\/strong><\/p>\r\n\r\n\r\n\r\n

\u098f\u0995\u099f\u09bf \u09ac\u09b2\u0995\u09c7 \u09af\u09a6\u09bf \u09ad\u09c2-\u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u0985\u09a8\u09c1\u09ad\u09c2\u09ae\u09bf\u0995 \u09a4\u09b2\u09c7 \u09ab\u09c7\u09b2\u09be \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09ac\u09b2 \u0993 \u09aa\u09c3\u09a5\u09bf\u09ac\u09c0\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 \u0998\u099f\u09ac\u09c7\u0964 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 \u09af\u09a6\u09bf \u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09ac\u09b2\u099f\u09bf \u098f\u0995\u0987 \u09ac\u09c7\u0997\u09c7 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09a6\u09bf\u0995\u09c7 \u09ab\u09bf\u09b0\u09c7 \u0986\u09b8\u09c7 \u098f\u09ac\u0982 \u09af\u09c7 \u0989\u099a\u09cd\u099a\u09a4\u09be \u09a5\u09c7\u0995\u09c7 \u09ab\u09c7\u09b2\u09be \u09b9\u09af\u09bc\u09c7\u099b\u09bf\u09b2 \u09b8\u09c7\u0987 \u0989\u099a\u09cd\u099a\u09a4\u09be\u09af\u09bc \u0993\u09a0\u09c7\u0964<\/p>\r\n

\u0995\u09cd\u09af\u09be\u09b0\u09be\u09ae\u09ac\u09cb\u09b0\u09cd\u09a1\u09c7 \u09b8\u09cd\u099f\u09cd\u09b0\u09be\u0987\u0995\u09be\u09b0 \u09a6\u09bf\u09af\u09bc\u09c7 \u09ac\u09cb\u09b0\u09cd\u09a1\u09c7\u09b0 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09aa\u09c3\u09b7\u09cd\u09a0\u0995\u09c7 \u09b8\u09cb\u099c\u09be\u09b8\u099c\u09bf \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09b2\u09c7 \u09b8\u09cd\u099f\u09cd\u09b0\u09be\u0987\u0995\u09be\u09b0\u099f\u09bf \u09aa\u09cd\u09b0\u09be\u09af\u09bc \u098f\u0995\u0987 \u09ac\u09c7\u0997\u09c7 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09a6\u09bf\u0995\u09c7 \u09ab\u09bf\u09b0\u09c7 \u0986\u09b8\u09c7\u0964 \u098f\u0995\u0987 \u0995\u09be\u09b0\u09a3\u09c7 \u09a6\u09c7\u09af\u09bc\u09be\u09b2\u09c7 \u0995\u09cb\u09a8\u09cb \u09ac\u09b2 \u0985\u09a8\u09c1\u09ad\u09c2\u09ae\u09bf\u0995\u09ad\u09be\u09ac\u09c7 \u09a7\u09be\u0995\u09cd\u0995\u09be \u0996\u09c7\u09b2\u09c7 \u09a6\u09c7\u09af\u09bc\u09be\u09b2\u099f\u09bf\u09b0 \u09ad\u09b0 \u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u0985\u09a8\u09c7\u0995 \u0985\u09a8\u09c7\u0995 \u09ac\u09c7\u09b6\u09bf \u098f\u09ac\u0982 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a4\u09be\u0987 \u09ac\u09b2\u099f\u09bf \u098f\u0995\u0987 \u09ac\u09c7\u0997\u09c7 \u09aa\u09bf\u099b\u09a8\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u09b8\u09b0\u09c7 \u0986\u09b8\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u09eb. \u09b8\u09cd\u09a5\u09bf\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 \u09af\u09a6\u09bf \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0\u09c7\u09b0 \u09a4\u09c1\u09b2\u09a8\u09be\u09af\u09bc \u09a8\u0997\u09a3\u09cd\u09af \u09b9\u09af\u09bc, \u0985\u09b0\u09cd\u09a5\u09be\u09ce m_1<<m_2<\/span> \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 (4.54) \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u09a6\u09c7\u0996\u09be \u09af\u09be\u09af\u09bc,\u00a0<\/p>\r\n\r\n\r\n\r\n

v_{1f}\\cong 2v_{2i}<\/span> \u098f\u09ac\u0982 v_{2f}\\cong v_{2i}<\/span> \u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.57)<\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0995\u09cb\u09a8\u09cb \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09a5\u09c7\u09ae\u09c7 \u09a5\u09be\u0995\u09be \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09b2\u09c7 \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ac\u09c7\u0997 \u0995\u09be\u09b0\u09cd\u09af\u09a4 \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09c7, \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1 \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09aa\u09cd\u09b0\u09be\u09af\u09bc \u09a6\u09cd\u09ac\u09bf\u0997\u09c1\u09a3 \u09ac\u09c7\u0997 \u09a8\u09bf\u09af\u09bc\u09c7 \u099a\u09b2\u09a4\u09c7 \u09a5\u09be\u0995\u09c7\u0964\u00a0<\/strong><\/p>\r\n\r\n\r\n\r\n

\u09ae\u09b8\u09c3\u09a3 \u09a4\u09b2\u09c7 \u09a5\u09c7\u09ae\u09c7 \u09a5\u09be\u0995\u09be \u098f\u0995\u099f\u09bf \u09ae\u09be\u09b0\u09cd\u09ac\u09c7\u09b2\u0995\u09c7 \u0995\u09cd\u09b0\u09bf\u0995\u09c7\u099f \u09ac\u09b2 \u09a6\u09bf\u09af\u09bc\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09b2\u09c7 \u0995\u09cd\u09b0\u09bf\u0995\u09c7\u099f \u09ac\u09b2\u09c7\u09b0 \u09ac\u09c7\u0997\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u09b9\u09ac\u09c7 \u09a8\u09be \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09ae\u09be\u09b0\u09cd\u09ac\u09c7\u09b2\u099f\u09bf \u0985\u09a4\u09bf\u09a6\u09cd\u09b0\u09c1\u09a4 \u09ac\u09c7\u0997\u09c7 \u099b\u09bf\u099f\u0995\u09c7 \u09af\u09be\u09ac\u09c7\u0964<\/p>\r\n\r\n\r\n\r\n

\u0985\u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 (Inelastic Collision):<\/strong><\/h2>\r\n\r\n\r\n\r\n

\u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09a7\u09be\u0995\u09cd\u0995\u09be \u09b2\u09be\u0997\u09b2\u09c7 \u09ac\u09be \u09b8\u0982\u0998\u09b0\u09cd\u09b7 \u09b9\u09b2\u09c7 \u09af\u09a6\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u0997\u09c1\u09b2\u09cb\u09b0 \u09ae\u09cb\u099f \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09a8\u09be \u09b9\u09af\u09bc \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7\u09b0 \u0993 \u09aa\u09b0\u09c7\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09af\u09a6\u09bf \u09b8\u09ae\u09be\u09a8 \u09a8\u09be \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09b8\u09c7\u0987 \u09b8\u0982\u0998\u09b7\u0995\u09c7 \u0985\u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7 ( inelastic collision) \u09ac\u09b2\u09c7\u0964 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u099a\u09c7\u09af\u09bc\u09c7 \u09aa\u09b0\u09c7\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0995\u09ae \u09ac\u09be \u09ac\u09c7\u09b6\u09bf \u09b9\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 \u09af\u09a6\u09bf \u0995\u09ae \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09a6\u09c1\u0987 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af\u099f\u09c1\u0995\u09c1 \u09a4\u09be\u09aa \u09b9\u09bf\u09b8\u09c7\u09ac\u09c7 \u0989\u09a6\u09cd\u09ad\u09c2\u09a4 \u09b9\u09af\u09bc \u09ac\u09be \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09ac\u09bf\u0995\u09c3\u09a4 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09b9\u09bf\u09b8\u09c7\u09ac\u09c7 \u0986\u09ac\u09bf\u09b0\u09cd\u09ad\u09c2\u09a4 \u09b9\u09af\u09bc\u0964 \u0986\u09ac\u09be\u09b0 \u09af\u09a6\u09bf \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09aa\u09b0\u09c7\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u099a\u09c7\u09af\u09bc\u09c7 \u09ac\u09c7\u09b6\u09bf \u09b9\u09af\u09bc \u09a4\u09be\u09b9\u09b2\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09ae\u09c1\u0995\u09cd\u09a4 \u09b9\u09ac\u09c7\u0964 \u09a4\u09ac\u09c7 \u0989\u09ad\u09af\u09bc \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7\u0987 \u09ad\u09b0\u09ac\u09c7\u0997 \u0993 \u09ae\u09cb\u099f \u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09b9\u09af\u09bc \u0964<\/p>\r\n\r\n\r\n\r\n

m_1<\/span> \u0993 m_2<\/span> \u09ad\u09b0\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 v_{1i}<\/span> \u0993 v_{2i}<\/span> \u09ac\u09c7\u0997\u09c7 \u099a\u09b2\u09c7 \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09af\u09c1\u0995\u09cd\u09a4 \u09a5\u09c7\u0995\u09c7 V \u09ac\u09c7\u0997 \u09a8\u09bf\u09af\u09bc\u09c7 \u099a\u09b2\u09a4\u09c7 \u09a5\u09be\u0995\u09c7 \u09a4\u09be\u09b9\u09b2\u09c7 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u099f\u09bf \u09b9\u09ac\u09c7 \u098f\u0995\u099f\u09bf \u0985\u09b8\u09cd\u09a5\u09bf\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u0995 \u09b8\u0982\u0998\u09b0\u09cd\u09b7\u0964 \u098f\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7,<\/p>\r\n\r\n\r\n\r\n

m_1v_{1i}+m_2v_{2i} = (m_1+m_2)V<\/span>\u2026 \u00a0 \u2026 \u00a0 \u2026 \u00a0 (4.58)<\/p>\r\n","protected":false},"excerpt":{"rendered":"

\u09b8\u0982\u099c\u09cd\u099e\u09be : \u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u09a6\u09bf \u098f\u0995\u099f\u09be \u0996\u09c1\u09ac \u09ac\u09a1\u09bc \u09ae\u09be\u09a8\u09c7\u09b0 \u09ac\u09b2\u09c7 \u0996\u09c1\u09ac \u0985\u09b2\u09cd\u09aa \u09b8\u09ae\u09af\u09bc\u09c7\u09b0 \u099c\u09a8\u09cd\u09af\u09c7 \u09aa\u09b0\u09b8\u09cd\u09aa\u09b0\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09c7 \u09a4\u09be\u09b9\u09b2\u09c7 \u09a4\u09be\u0995\u09c7 \u09ac\u09b2\u09be \u09b9\u09af\u09bc \u09b8\u0982\u0998\u09b0\u09cd\u09b7 (Collision) \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be: \u09af\u09c7\u09ae\u09a8 \u09b9\u09be\u09a4\u09c1\u09a1\u09bc\u09bf \u09a6\u09bf\u09af\u09bc\u09c7 \u09aa\u09c7\u09b0\u09c7\u0995\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09be \u09ac\u09be \u0995\u09cd\u09b0\u09bf\u0995\u09c7\u099f \u0996\u09c7\u09b2\u09be\u09af\u09bc \u09ac\u09cd\u09af\u09be\u099f \u09a6\u09bf\u09af\u09bc\u09c7 \u09ac\u09b2\u0995\u09c7 \u0986\u0998\u09be\u09a4 \u0995\u09b0\u09be\u0964 \u098f\u0996\u09be\u09a8\u09c7 \u09b9\u09be\u09a4\u09c1\u09a1\u09bc\u09bf<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[50,4238,3028,51],"tags":[832,837,839,838,836,840,833,834,835],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/309"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=309"}],"version-history":[{"count":9,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/309\/revisions"}],"predecessor-version":[{"id":12443,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/309\/revisions\/12443"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}