{"id":2919,"date":"2022-03-24T11:03:04","date_gmt":"2022-03-24T11:03:04","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=2919"},"modified":"2022-03-24T05:45:15","modified_gmt":"2022-03-24T05:45:15","slug":"conservation-law-of-energy","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/conservation-law-of-energy\/","title":{"rendered":"\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be \u09b8\u09c2\u09a4\u09cd\u09b0 \u09ac\u09be \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2\u09a4\u09be \u09a8\u09c0\u09a4\u09bf\u00a0(Conservation Law of Energy)"},"content":{"rendered":"

\u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2\u09a4\u09be \u09a8\u09c0\u09a4\u09bf\u09b0 \u09ac\u09bf\u09ac\u09c3\u09a4\u09bf (Statement of Conservation Law of Energy)<\/b><\/h2>\n

\u0995\u09cb\u09a8\u09cb \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u0995\u09c7\u09ac\u09b2 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2 \u09ac\u09b2 \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u09b2\u09c7 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf \u09b8\u09b0\u09cd\u09ac\u09a6\u09be \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7\u0964 \u0985\u09b0\u09cd\u09a5\u09be\u09ce<\/b><\/p>\n

\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf<\/span>+<\/span>\u09ac\u09bf\u09ad\u09ac\u09b6\u0995\u09cd\u09a4\u09bf<\/span>=<\/span>\u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/span><\/p>\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/b> \u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09af\u09a6\u09bf \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2 \u09ac\u09b2 \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u09c7, \u09a4\u09ac\u09c7 \u09b8\u09c7\u0987 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf<\/a> \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09bf\u09a4 \u09a5\u09be\u0995\u09c7\u0964 \u09b8\u09c7 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7\u0964 \u09af\u09a6\u09bf \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09b9\u09cd\u09b0\u09be\u09b8 \u09aa\u09be\u09df, \u09a4\u09ac\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09df \u0986\u09b0 \u09af\u09a6\u09bf \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09b9\u09cd\u09b0\u09be\u09b8 \u09aa\u09be\u09df \u09a4\u09ac\u09c7 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09df\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09a4\u09be\u09a6\u09c7\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf\u09b0 \u0995\u09cb\u09a8\u09cb \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u09b9\u09df \u09a8\u09be\u0964 \u09a7\u09b0\u09be \u09af\u09be\u0995, \u0995\u09cb\u09a8\u09cb \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u0986\u09a6\u09bf \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf U_{i} <\/span><\/span> \u098f\u09ac\u0982 \u0986\u09a6\u09bf \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bfK_{i} <\/span><\/span>\u0964 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u0989\u09aa\u09b0 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2 \u09ac\u09b2 \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u09be\u09df \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u09b6\u09c7\u09b7\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09b9\u09b2\u09cb \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 <\/span>U_{f} <\/span><\/span> \u098f\u09ac\u0982 <\/span>U_{f} <\/span><\/span>\u0964 \u098f\u0996\u09a8 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2\u09a4\u09be \u09a8\u09c0\u09a4\u09bf \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,<\/span><\/p>\nU_{i}+K_{i}=U_{f}+K_{f}<\/span>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce U+K<\/span><\/span>=<\/span>\u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/span><\/p>\n

\u0985\u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2 \u09ac\u09b2\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09af\u09c7\u09ae\u09a8 \u09af\u09a6\u09bf \u0995\u09cb\u09a8\u09cb \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u0998\u09b0\u09cd\u09b7\u09a3 \u09ac\u09b2 \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u09c7 \u09a4\u0996\u09a8 \u098f\u0987 <\/span>\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u0996\u09be\u099f\u09c7 \u09a8\u09be, \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7 \u09a8\u09be\u0964<\/span><\/p>\n

\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be\u09b0 \u09a8\u09c0\u09a4\u09bf\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 <\/b>(Uses of Conservation law of Energy)<\/strong><\/h2>\n

\u0995. \u0989\u09ce\u0995\u09cd\u09b7\u09c7\u09aa\u09bf\u09a4 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0989\u099a\u09cd\u099a\u09a4\u09be<\/b><\/h3>\n

\u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u09af\u0996\u09a8 \u0996\u09be\u09dc\u09be \u0989\u09aa\u09b0\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u09a8\u09bf\u0995\u09cd\u09b7\u09c7\u09aa \u0995\u09b0\u09be \u09b9\u09df \u09a4\u0996\u09a8 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be\u09b0 \u09a8\u09c0\u09a4\u09bf (Conservation Law of Energy) \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u09b8\u09ac\u09b8\u09ae\u09df \u09a4\u09be\u09b0 \u09ae\u09cb\u099f \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7\u0964 \u09a7\u09b0\u09be \u09af\u09be\u0995, <\/span>m<\/span> \u09ad\u09b0\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7 \u09ac\u09b2\u09c7\u09b0 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4\u09c7 \u0996\u09be\u09dc\u09be \u0989\u09aa\u09b0\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 v_{0}<\/span><\/span> \u09ac\u09c7\u0997\u09c7 \u09a8\u09bf\u0995\u09cd\u09b7\u09c7\u09aa \u0995\u09b0\u09be \u09b9\u09b2\u09cb\u0964<\/span><\/p>\n

\u09a8\u09bf\u0995\u09cd\u09b7\u09c7\u09aa\u09c7\u09b0 \u09ae\u09c1\u09b9\u09c2\u09b0\u09cd\u09a4\u09c7, \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u09ad\u09c2-\u09aa\u09c3\u09b7\u09cd\u09a0\u09c7 \u09a5\u09be\u0995\u09c7, \u09ab\u09b2\u09c7 \u0989\u099a\u09cd\u099a\u09a4\u09be h=0<\/span><\/span>\u0964<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09a8\u09bf\u0995\u09cd\u09b7\u09c7\u09aa\u09c7\u09b0 \u09b8\u09ae\u09df<\/span><\/p>\n

\u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf, U_{1}=m g h=0<\/span><\/span><\/p>\n

\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf, K_{1}=\\frac{1}{2} m v_{0}^{2}<\/span><\/span><\/p>\n

\u2234<\/span>\u09ae\u09cb\u099f \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf, E_{1}=U_{1}+K_{1}=0+\\frac{1}{2} m v_{0}^{2}=\\frac{1}{2} m v_{0}^{2}<\/span><\/b><\/p>\n

\u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u09af\u09a4 \u0989\u09aa\u09b0\u09c7 \u0989\u09a0\u09a4\u09c7 \u09a5\u09be\u0995\u09c7, \u09a4\u09be\u09b0 \u09ac\u09c7\u0997 \u09a4\u09a4\u09cb \u0995\u09ae\u09a4\u09c7 \u09a5\u09be\u0995\u09ac\u09c7\u0964 \u0995\u09ae\u09a4\u09c7 \u0995\u09ae\u09a4\u09c7 \u09ac\u09c7\u0997 \u09b6\u09c2\u09a8\u09cd\u09af \u09b9\u09b2\u09c7 \u09b8\u09c7\u099f\u09bf \u0986\u09ac\u09be\u09b0 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7 \u09ac\u09b2\u09c7\u09b0 \u09aa\u09cd\u09b0\u09ad\u09be\u09ac\u09c7 \u09a8\u09bf\u099a\u09c7 \u09a8\u09be\u09ae\u09a4\u09c7 \u09a5\u09be\u0995\u09ac\u09c7\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0989\u099a\u09cd\u099a\u09a4\u09be\u09df <\/span>v=0<\/span>\u0964 \u09a7\u09b0\u09be \u09af\u09be\u0995, \u098f \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0989\u099a\u09cd\u099a\u09a4\u09be h_{\\max}<\/span><\/span>\u0964<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u0989\u099a\u09cd\u099a\u09a4\u09be\u09df<\/span><\/p>\n

\u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf,U_{2}=m g h_{\\max }<\/span><\/span><\/p>\n

\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf, K_{2}=\\frac{1}{2} m v^{2}=0<\/span><\/span><\/p>\n

\u2234<\/span>\u09ae\u09cb\u099f \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf, E_{2}=U_{2}+K_{2}=m g h_{\\max }+0=m g h_{\\max }<\/span><\/span><\/p>\n

\u098f\u0996\u09a8 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be\u09b0 \u09a8\u09c0\u09a4\u09bf \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,<\/span><\/p>\n\\begin{array}{l}\n\n\\boldsymbol{E}_{\\mathbf{2}}=\\boldsymbol{E}_{\\mathbf{1}} \\\\\n\n\\therefore m g h_{\\max }=\\frac{1}{2} m v_{0}^{2} \\\\\n\n\\therefore \\boldsymbol{h}_{\\max }=\\frac{v_{0}^{2}}{2 g}\n\n\\end{array}<\/span>\n

\u098f \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0987 \u0986\u09ae\u09b0\u09be \u09a4\u09c3\u09a4\u09c0\u09df \u0985\u09a7\u09cd\u09af\u09be\u09df\u09c7 \u0997\u09a4\u09bf\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u09aa\u09c7\u09df\u09c7\u099b\u09bf<\/span>\u0964<\/span><\/p>\n

\u0996. \u09b8\u09b0\u09b2 \u099b\u09a8\u09cd\u09a6\u09bf\u09a4 \u0997\u09a4\u09bf \u09ac\u09be \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf<\/b><\/h3>\n

\u09af\u09a6\u09bf \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b6\u09c0\u09b2 \u09ac\u09b2 \u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a5\u09c7\u0995\u09c7 \u098f\u09b0 \u09b8\u09b0\u09a3\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995 \u098f\u09ac\u0982 \u09b8\u09b0\u09cd\u09ac\u09a6\u09be \u0990 \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u0985\u09ad\u09bf\u09ae\u09c1\u0996\u09c0 \u09b9\u09df, \u09a4\u09be\u09b9\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u098f\u0987 \u0997\u09a4\u09bf\u0995\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

\u098f\u0987 \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0995\u09c7 \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09ac\u09be \u09ae\u09a7\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09ac\u09b2\u09c7 \u098f\u09ac\u0982 \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09a5\u09c7\u0995\u09c7 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u098f\u0995\u09a6\u09bf\u0995\u09c7 \u09af\u09c7 \u09b8\u09b0\u09cd\u09ac\u09cb\u099a\u09cd\u099a \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u0985\u09a4\u09bf\u0995\u09cd\u09b0\u09ae \u0995\u09b0\u09c7 \u09a4\u09be\u0995\u09c7 \u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0 (Amplitude)<\/strong> \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

\"Energy<\/p>\n

\u00a0\u099a\u09bf\u09a4\u09cd\u09b0\u09c7, <\/span>O<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u098f\u09ac\u0982 NB<\/span>=A=<\/span>\u09ac\u09bf\u09b8\u09cd\u09a4\u09be\u09b0\u0964<\/span><\/p>\n

\u0995\u09ae\u09cd\u09aa\u09ae\u09be\u09a8 \u09b8\u09c1\u09b0\u09b6\u09b2\u09be\u0995\u09be\u09b0 \u0997\u09a4\u09bf, \u0995\u09cb\u09a8\u09cb \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982-\u098f\u09b0 \u098f\u0995 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4 \u09a6\u09c3\u09dd \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u0986\u099f\u0995\u09c7 \u0985\u09aa\u09b0 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u09c7 \u099d\u09c1\u09b2\u09be\u09a8\u09cb \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u09a6\u09c1\u09b2\u09a4\u09c7 \u09a6\u09bf\u09b2\u09c7 \u09a4\u09be\u09b0 \u0997\u09a4\u09bf \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf\u0964 <\/span><\/p>\n

\u0995\u09cb\u09a8\u09cb \u0995\u09a3\u09be\u09b0 \u0989\u09aa\u09b0 \u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b6\u09c0\u09b2 \u09ac\u09b2 <\/span>F<\/span> \u098f\u09ac\u0982 \u09b8\u09b0\u09a3 <\/span>x<\/span> \u09b9\u09b2\u09c7 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 F=-kx<\/span><\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 <\/span>k<\/span> \u098f\u0995\u099f\u09bf \u09a7\u09cd\u09b0\u09c1\u09ac\u0995, \u09a4\u09be\u0995\u09c7 \u09ac\u09b2\u09be \u09b9\u09df \u09ac\u09b2 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995\u0964 \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf \u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09cb\u09a8\u09cb \u0995\u09a3\u09be\u09b0 \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09a5\u09c7\u0995\u09c7 <\/span>x<\/span> \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \\frac{1}{2} k x^{2}<\/span> <\/span>\u098f\u09ac\u0982 \u0995\u09cb\u09a8\u09cb \u0995\u09a3\u09be\u09b0 \u09ac\u09c7\u0997 <\/span>v<\/span> \u09b9\u09b2\u09c7 \u09a4\u09be\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \\frac{1}{2} m v^{2}<\/span><\/span><\/p>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf\u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09cb\u09a8\u09cb \u0995\u09a3\u09be\u09b0 \u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09af\u09c7 \u0995\u09cb\u09a8\u09cb \u098f\u0995 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u09c7 \u09af\u09c7\u09ae\u09a8 <\/span>C<\/span> \u09a4\u09c7 \u09ac\u09c7\u0997, <\/span>v=0<\/span><\/p>\n

\u098f\u09ac\u0982 \u09b8\u09b0\u09a3, x=A<\/span><\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf, U_{1}=\\frac{1}{2} k x^{2}=\\frac{1}{2} k A^{2}<\/span><\/span><\/p>\n

\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf, K_{1}=\\frac{1}{2} m v^{2}=0<\/span><\/span><\/p>\n

\u2234<\/span>\u09ae\u09cb\u099f \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf, E_{1}=U_{1}+K_{1}=\\frac{1}{2} k \\mathbf{A}^{2}+0=\\frac{1}{2} k A^{2}<\/span><\/b><\/p>\n

\u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09a5\u09c7\u0995\u09c7 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac <\/span>x<\/span>-\u098f \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 <\/span>D<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09af\u09a6\u09bf \u09ac\u09c7\u0997 <\/span>v<\/span> \u09b9\u09df,<\/span><\/p>\n

\u09a4\u09be\u09b9\u09b2\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf, U_{2}=\\frac{1}{2} k x^{2}=\\frac{1}{2} k A^{2}<\/span><\/span><\/p>\n

\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf, K_{2}=\\frac{1}{2} m v^{2}<\/span><\/span><\/p>\n

\u2234<\/span>\u09ae\u09cb\u099f \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf, <\/b>E_{2}=\\frac{1}{2}kx^2+\\frac{1}{2}mv^2<\/span><\/span><\/p>\n

\u098f\u0996\u09a8 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be\u09b0 \u09a8\u09c0\u09a4\u09bf (Conservation Law of Energy)<\/strong> \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 <\/span>D<\/span> \u098f\u09ac\u0982 <\/span>C<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09ae\u09cb\u099f \u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\n

\u2234E2=E1<\/span><\/span><\/p>\n\\frac{1}{2} k x^{2}+\\frac{1}{2} m v^{2}=\\frac{1}{2} k A^{2}<\/span>\n

\u098f\u09b0 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be <\/span>x<\/span> \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09ac\u09c7\u0997 <\/span>v<\/span> \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09bf,<\/span><\/p>\n\\begin{array}{l}\n\n\\frac{1}{2} m v^{2}=\\frac{1}{2} k A^{2}-\\frac{1}{2} k x^{2} \\\\\n\n\\text { \u09ac\u09be, } \\frac{1}{2} m v^{2}=\\frac{1}{2} k\\left(A^{2}-x^{2}\\right) \\\\\n\n\\text { \u09ac\u09be, } v^{2}=\\frac{k}{m}\\left(A^{2}-x^{2}\\right) \\\\\n\nv=\\sqrt{\\frac{k}{m}\\left(A^{2}-x^{2}\\right)}\n\n\\end{array}<\/span>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u09a8 \u0997\u09a4\u09bf\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \\sqrt{\\frac{k}{m}}=\\omega=<\/span><\/span>\u00a0\u0995\u09cc\u09a3\u09bf\u0995 \u0995\u09ae\u09cd\u09aa\u09be\u0999\u09cd\u0995\u0964<\/span><\/p>\n\\therefore v=\\omega \\sqrt{A^{2}-x^{2}}<\/span>\n

\u0997. \u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be<\/b><\/h3>\n

\u09b8\u09b0\u09b2 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0986\u09a8\u09cd\u09a6\u09cb\u09b2\u09a8\u09c7 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b0\u09c2\u09aa\u09be\u09a8\u09cd\u09a4\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf\u09a8\u09bf\u09df\u09a4 \u0998\u099f\u09c7\u0964 \u0986\u09a8\u09cd\u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09bf \u09ae\u09c1\u09b9\u09c2\u09b0\u09cd\u09a4\u09c7 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09af\u09cb\u0997\u09ab\u09b2 \u09b8\u09ae\u09be\u09a8 \u09a5\u09be\u0995\u09c7\u0964<\/span><\/p>\n

\"conservation-law-of-energy\"<\/strong>\u09a7\u09b0\u09be \u09af\u09be\u0995, <\/span>OA<\/span> \u098f\u0995\u099f\u09bf \u09a6\u09cb\u09b2\u0995 \u098f\u09ac\u0982 <\/span>B<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u0986\u09a8\u09cd\u09a6\u09cb\u09b2\u09a8\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09b8\u09be\u09ae\u09cd\u09af\u09be\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09a5\u09c7\u0995\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b8\u09b0\u09cd\u09ac\u09be\u09a7\u09bf\u0995 \u09b8\u09b0\u09a3\u09c7\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8, \u0985\u09b0\u09cd\u09a5\u09be\u09ce <\/span>B<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u099f\u09bf \u09ae\u09c1\u09b9\u09c2\u09b0\u09cd\u09a4\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09a5\u09c7\u09ae\u09c7 \u09af\u09be\u09df \u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span>B<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3\u09b0\u09c2\u09aa\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u0964 \u098f\u0996\u09a8 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 <\/span>A<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a5\u09c7\u0995\u09c7 <\/span>B<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09af\u09be\u0993\u09df\u09be\u09b0 \u0985\u09b0\u09cd\u09a5 \u0996\u09be\u09dc\u09be\u09ad\u09be\u09ac\u09c7 <\/span>A<\/span> \u09a5\u09c7\u0995\u09c7 <\/span>N<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09af\u09be\u0993\u09df\u09be\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span>B\u00a0<\/span>\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf <\/span>= m g \\times <\/span><\/span>\u0996\u09be\u09dc\u09be<\/span>\u00a0<\/span>\u0989\u099a\u09cd\u099a\u09a4\u09be=m g \\times AN <\/span><\/span>\u0964<\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 <\/span>m<\/span> \u09ac\u09ac\u09c7\u09b0 \u09ad\u09b0 \u098f\u09ac\u0982 <\/span>B<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf <\/span>=0<\/span>\u0964<\/span><\/p>\n

\u0985\u09a4\u098f\u09ac, <\/span>B<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 <\/span>\u09ae\u09cb\u099f \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf =m g \\times A N+0=m g \\times A N<\/span><\/span><\/p>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995, \u0986\u09a8\u09cd\u09a6\u09cb\u09b2\u09bf\u09a4 \u09b9\u09df\u09c7 \u09a6\u09cb\u09b2\u0995\u099f\u09bf \u0995\u09cb\u09a8\u09cb \u098f\u0995 \u09b8\u09ae\u09df <\/span>C<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09aa\u09cc\u0981\u099b\u09b2\u0964 \u098f \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09a6\u09cb\u09b2\u0995\u099f\u09bf\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u0997\u09a4\u09bf \u09b6\u0995\u09cd\u09a4\u09bf \u09a6\u09c1\u0987-\u0987 \u09a5\u09be\u0995\u09ac\u09c7\u0964<\/span><\/p>\n

C<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf <\/span>= m g \\times<\/span><\/span>\u0996\u09be\u09dc\u09be<\/span>\u00a0<\/span>\u0989\u099a\u09cd\u099a\u09a4\u09be<\/span><\/p>\n

=mg \\times AM<\/span><\/span><\/p>\n

C<\/span> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf =\\frac{1}{2} m v^{2}=\\frac{1}{2} m \\times 2 g h=m g \\times N M=m g(A N-A M)<\/span><\/span><\/p>\n

\u0985\u09a4\u098f\u09ac, C \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7 \u09a6\u09cb\u09b2\u0995\u09c7\u09b0 \u09ae\u09cb\u099f \u09b6\u0995\u09cd\u09a4\u09bf <\/span>=m g \\times A M+m g(A N-A M)<\/span><\/span><\/p>\n

=m g \\times A N=B<\/span> <\/span>\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u09a4\u09c7<\/span>\u00a0<\/span>\u09ae\u09cb\u099f<\/span>\u00a0<\/span>\u09b6\u0995\u09cd\u09a4\u09bf<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u0986\u09a8\u09cd\u09a6\u09cb\u09b2\u09bf\u09a4 \u09a6\u09cb\u09b2\u0995 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09a4\u09cd\u09af\u09a4\u09be \u09b8\u09c2\u09a4\u09cd\u09b0 (Conservation Law of Energy)<\/strong> \u09ae\u09c7\u09a8\u09c7 \u099a\u09b2\u09c7\u0964<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2\u09a4\u09be \u09a8\u09c0\u09a4\u09bf\u09b0 \u09ac\u09bf\u09ac\u09c3\u09a4\u09bf (Statement of Conservation Law of Energy) \u0995\u09cb\u09a8\u09cb \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u0995\u09c7\u09ac\u09b2 \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2 \u09ac\u09b2 \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u09b2\u09c7 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u09ae\u09b7\u09cd\u099f\u09bf \u09b8\u09b0\u09cd\u09ac\u09a6\u09be \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7\u0964 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf+\u09ac\u09bf\u09ad\u09ac\u09b6\u0995\u09cd\u09a4\u09bf=\u09a7\u09cd\u09b0\u09c1\u09ac\u0995 \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be : \u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09af\u09a6\u09bf \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09b6\u09c0\u09b2 \u09ac\u09b2 \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u09c7, \u09a4\u09ac\u09c7 \u09b8\u09c7\u0987 \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be\u09b0<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4239,3028,50,51,1],"tags":[2087,6,2089],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2919"}],"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\/56"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=2919"}],"version-history":[{"count":6,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2919\/revisions"}],"predecessor-version":[{"id":4414,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2919\/revisions\/4414"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=2919"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=2919"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=2919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}