{"id":2906,"date":"2021-12-01T23:26:01","date_gmt":"2021-12-01T23:26:01","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=2906"},"modified":"2021-12-02T03:39:29","modified_gmt":"2021-12-02T03:39:29","slug":"energy-kinetic-energy-potential-energy","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/energy-kinetic-energy-potential-energy\/","title":{"rendered":"\u09b6\u0995\u09cd\u09a4\u09bf(Energy)"},"content":{"rendered":"

\u09b6\u0995\u09cd\u09a4\u09bf(Energy)<\/b><\/h2>\n

\u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u09a6\u09bf \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7, \u09a4\u0996\u09a8 \u0986\u09ae\u09b0\u09be \u09ac\u09b2\u09bf \u09af\u09c7, \u0990 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf \u0986\u099b\u09c7\u0964<\/span><\/p>\n

\u09b8\u0982\u099c\u09cd\u099e\u09be : <\/b>\u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09be\u099c \u0995\u09b0\u09be\u09b0 \u09b8\u09be\u09ae\u09b0\u09cd\u09a5\u09cd\u09af\u0995\u09c7 \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09b2\u09c7(energy)\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09b8\u09b0\u09cd\u09ac\u09ae\u09cb\u099f \u09af\u09a4\u099f\u09c1\u0995\u09c1 \u0995\u09be\u099c<\/a> \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a4\u09be \u09a6\u09bf\u09af\u09bc\u09c7\u0987 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09aa \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09aa \u0995\u09b0\u09be \u09b9\u09af\u09bc \u09a4\u09be\u09b0 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09be\u099c\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a5\u09c7\u0995\u09c7; \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u0995\u09be\u099c\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0985\u09ad\u09bf\u09a8\u09cd\u09a8\u0964 \u0995\u09be\u099c\u09c7\u09b0 \u09ae\u09a4\u09cb \u09b6\u0995\u09cd\u09a4\u09bf\u0993 \u09b8\u09cd\u0995\u09c7\u09b2\u09be\u09b0 \u09b0\u09be\u09b6\u09bf\u0964<\/span><\/p>\n

\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0993 \u098f\u0995\u0995 : <\/b>\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0993 \u0995\u09be\u099c\u09c7\u09b0 \u09ae\u09be\u09a4\u09cd\u09b0\u09be \u098f\u0995\u0987 \u0985\u09b0\u09cd\u09a5\u09be\u09ce <\/span>M<\/span>L<\/span>2<\/span>T<\/span>-2<\/span>\u0964<\/span><\/p>\n

\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u098f\u0995\u0995 \u0993 \u0995\u09be\u099c\u09c7\u09b0 \u098f\u0995\u0995 \u098f\u0995\u0987 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u099c\u09c1\u09b2 <\/span>(<\/span>J)<\/span>\u0964<\/span><\/p>\n

\u0995\u09bf\u09b2\u09cb\u0993\u09df\u09be\u099f-\u0998\u09a3\u09cd\u099f\u09be :<\/b> \u09b8\u09be\u09a7\u09be\u09b0\u09a3\u09a4 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b9\u09bf\u09b8\u09be\u09ac-\u09a8\u09bf\u0995\u09be\u09b6\u09c7\u09b0 \u09b8\u09ae\u09af\u09bc \u0995\u09bf\u09b2\u09cb\u0993\u09af\u09bc\u09be\u099f-\u0998\u09a3\u09cd\u099f\u09be <\/span>(<\/span>kWh)\u00a0<\/span>\u098f\u0995\u0995\u099f\u09bf \u09ac\u09cd\u09af\u09ac\u09b9\u09c3\u09a4 \u09b9\u09df\u0964 \u098f\u0995 \u0995\u09bf\u09b2\u09cb\u0993\u09af\u09bc\u09be\u099f \u0995\u09cd\u09b7\u09ae\u09a4\u09be \u09b8\u09ae\u09cd\u09aa\u09a8 \u0995\u09cb\u09a8\u09cb \u09af\u09a8\u09cd\u09a4\u09cd\u09b0 \u098f\u0995 \u0998\u09a3\u09cd\u099f\u09be \u0995\u09be\u099c \u0995\u09b0\u09b2\u09c7 \u09af\u09c7 \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09cd\u09af\u09af\u09bc \u09b9\u09af\u09bc \u09a4\u09be\u0995\u09c7 \u098f\u0995 \u0995\u09bf\u09b2\u09cb\u0993\u09af\u09bc\u09be\u099f \u0998\u09a3\u09cd\u099f\u09be \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

1kWh=1000Wh=1000J<\/span>s<\/span>-1<\/span>\u00d73600s<\/span><\/p>\n

\u22341kWh=3.6\u00d7<\/span>10<\/span>6<\/span>J<\/span><\/p>\n

\u0986\u09ae\u09b0\u09be \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a8\u09bf\u09ae\u09cd\u09a8\u09cb\u0995\u09cd\u09a4 \u09b0\u09c2\u09aa\u0997\u09c1\u09b2\u09cb \u09aa\u09b0\u09cd\u09af\u09ac\u09c7\u0995\u09cd\u09b7\u09a3 \u0995\u09b0\u09bf\u0964<\/span><\/p>\n

\u09e7\u0964 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf\u00a0 \u00a0 \u09e8\u0964 \u09a4\u09be\u09aa \u09b6\u0995\u09cd\u09a4\u09bf \u00a0 \u09e9\u0964 \u09b6\u09ac\u09cd\u09a6 \u09b6\u0995\u09cd\u09a4\u09bf\u00a0 \u00a0 \u09ea\u0964 \u0986\u09b2\u09cb\u0995 \u09b6\u0995\u09cd\u09a4\u09bf \u00a0 \u09ec\u0964 \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09ce \u09b6\u0995\u09cd\u09a4\u09bf\u00a0 \u00a0 \u00a0 \u00a0 \u09eb\u0964 \u099a\u09cc\u09ae\u09cd\u09ac\u0995 \u09b6\u0995\u09cd\u09a4\u09bf \u00a0 \u09ed\u0964 \u09b0\u09be\u09b8\u09be\u09df\u09a8\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf\u00a0 \u00a0 \u09ee\u0964 \u09a8\u09bf\u0989\u0995\u09cd\u09b2\u09bf\u09df \u09b6\u0995\u09cd\u09a4\u09bf \u00a0 \u00a0 \u09ef\u0964 \u09b8\u09cc\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf<\/span><\/p>\n

\u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf(Mechanical Energy)<\/b><\/h3>\n

\u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09a4\u09be\u09b0 \u0997\u09a4\u09bf, \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09ac\u09be \u09ad\u09cc\u09a4 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u0995\u09be\u099c \u0995\u09b0\u09be\u09b0 \u09af\u09c7 \u09b8\u09be\u09ae\u09b0\u09cd\u09a5 \u09a4\u09a5\u09be \u09b6\u0995\u09cd\u09a4\u09bf \u09a5\u09be\u0995\u09c7 \u09a4\u09be\u0995\u09c7 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09b2\u09c7\u0964 \u09af\u09be\u09a8\u09cd\u09a4\u09cd\u09b0\u09bf\u0995 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09a6\u09c1\u099f\u09bf \u09b0\u09c2\u09aa \u0986\u099b\u09c7- <\/span>\u0997\u09a4\u09bf \u09b6\u0995\u09cd\u09a4\u09bf <\/b>\u0993 <\/span>\u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u0964<\/b><\/p>\n

\u0997\u09a4\u09bf \u09b6\u0995\u09cd\u09a4\u09bf(Kinetic Energy)<\/b><\/h3>\n

\u09b8\u0982\u099c\u09cd\u099e\u09be : <\/b>\u0995\u09cb\u09a8\u09cb \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u09ac\u09b8\u09cd\u09a4\u09c1 \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u09a5\u09be\u0995\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u0995\u09be\u099c \u0995\u09b0\u09be\u09b0 \u09af\u09c7 \u09b8\u09be\u09ae\u09b0\u09cd\u09a5\u09cd\u09af \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b6\u0995\u09cd\u09a4\u09bf \u0985\u09b0\u09cd\u099c\u09a8 \u0995\u09b0\u09c7 \u09a4\u09be\u0995\u09c7 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

\u098f\u0995\u099f\u09bf \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u09c7 \u09ac\u09c7\u0997\u09c7 \u0997\u09a4\u09bf\u09b6\u09c0\u09b2, \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u0995\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09a5\u09c7\u0995\u09c7 \u0990 \u09ac\u09c7\u0997 \u09a6\u09bf\u09a4\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0989\u09aa\u09b0 \u09af\u09c7 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09b9\u09af\u09bc\u09c7\u099b\u09c7 \u09a4\u09be\u0987 \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u0964<\/span><\/p>\n

\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09aa(Measurement of Kinetic Energy)<\/b><\/h4>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995, <\/span>m<\/span> \u09ad\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09b8\u09cd\u09a5\u09bf\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09a6\u09bf\u0995\u09c7 <\/span>F<\/span> \u09ac\u09b2 \u09aa\u09cd\u09b0\u09df\u09cb\u0997\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u0995\u09c7 \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09a7\u09b0\u09be \u09af\u09be\u0995, \u098f\u0987 \u09ac\u09b2 \u09a7\u09cd\u09b0\u09c1\u09ac \u09a8\u09af\u09bc, \u09a4\u09ac\u09c7 \u098f\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0995\u09c7\u09ac\u09b2 \u098f\u09b0 \u09ae\u09be\u09a8\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7 \u09b8\u09be\u09a7\u09bf\u09a4 \u09b9\u09af\u09bc\u0964 \u0986\u09b0\u09cb \u09a7\u09b0\u09be \u09af\u09be\u0995, \u098f\u0987 \u09ac\u09b2 \u09aa\u09cd\u09b0\u09df\u09cb\u0997\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09ac\u09b2\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u09b8\u09b0\u09a3 \u0998\u099f\u09c7 \u098f\u09ac\u0982 \u098f\u0987 \u09a6\u09bf\u0995 <\/span>X<\/span>-\u0985\u0995\u09cd\u09b7 \u09ac\u09b0\u09be\u09ac\u09b0\u0964 \u098f\u0987 \u09ac\u09b2 \u09af\u09a6\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09ac\u09c7\u0997 \u09b6\u09c2\u09a8\u09cd\u09af \u09a5\u09c7\u0995\u09c7 <\/span>v<\/span> \u09a4\u09c7 \u0989\u09a8\u09cd\u09a8\u09c0\u09a4 \u0995\u09b0\u09c7, \u09a4\u09be\u09b9\u09b2\u09c7 \u0995\u09c3\u09a4 \u09ae\u09cb\u099f \u0995\u09be\u099c \u09b9\u09ac\u09c7,<\/span><\/p>\n

W=<\/span>v=0<\/span>v=v<\/span>\u200a<\/span> Fdx<\/span>\u00a0 <\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u09b0 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0<\/a> \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf, <\/span>F=ma<\/span>\u0964 \u098f\u0996\u09a8 \u09a4\u09cd\u09ac\u09b0\u09a3 <\/span>a<\/span> \u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09df,<\/span><\/p>\n

a=<\/span>dv<\/span>dt<\/span>=<\/span>dv<\/span>dx<\/span>dx<\/span>dt<\/span>=<\/span>dv<\/span>dx<\/span>v=v<\/span>dv<\/span>dx<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982<\/span><\/p>\n

W=<\/span>v=0<\/span>v=v<\/span>\u200aFdx=<\/span>v=0<\/span>v=v<\/span>\u200amad\u2061x=<\/span>v=0<\/span>v=v<\/span>\u200a<\/span>dv<\/span>dx<\/span>dx=<\/span>0<\/span>v<\/span>\u200amvdv=m<\/span>v<\/span>2<\/span>2<\/span>0<\/span>v<\/span><\/p>\n

W=<\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span>-0<\/span>=<\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09b8\u0982\u099c\u09cd\u099e\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u098f\u0987 \u0995\u09c3\u09a4 \u0995\u09be\u099c\u0987 \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf <\/span>K<\/span><\/p>\n

\u2234K=<\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09ad\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09a4\u09be\u09b0 \u09ac\u09c7\u0997\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995\u0964<\/b><\/p>\n

\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0993 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995(Relation Between Kinetic Energy & Momentum)<\/b><\/h3>\n

(5.21)<\/span> \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09df, <\/span>K=<\/span>1<\/span>2<\/span>m<\/span>2<\/span>v<\/span>2<\/span>m<\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 <\/span>mv<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997 <\/span>p<\/span><\/p>\n

\u2234K=<\/span>p<\/span>2<\/span>2m<\/span><\/p>\n

\u09ac\u09be, <\/span>p=<\/span>2mK<\/span><\/p>\n

\u09e7\u0964 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0995\u09bf \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7?<\/b><\/p>\n

\u0995\u09cb\u09a8\u09cb \u09b8\u099a\u09b2 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 <\/span>m<\/span> \u098f\u09ac\u0982 \u09ac\u09c7\u0997 <\/span>v<\/span> \u09b9\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf <\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span>\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 <\/span>m<\/span> \u0995\u0996\u09a8\u09cb\u0987 \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a8\u09be\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ac\u09c7\u0997 \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u09ac\u09be \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7, \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09ac\u09c7\u0997\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997 \u09b8\u09ac\u09b8\u09ae\u09df \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09ac\u09c7\u0964 \u0985\u09a4\u098f\u09ac \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u0995\u0996\u09a8\u09cb \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a8\u09be\u0964<\/span><\/p>\n

\u09e8\u0964 \u098f\u0995\u099f\u09bf \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1 \u098f\u09ac\u0982 \u098f\u0995\u099f\u09bf \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997 \u09b8\u09ae\u09be\u09a8\u0964 \u0995\u09cb\u09a8\u099f\u09bf\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09c7\u09b6\u09bf?<\/b><\/p>\n

\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf, \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 <\/span>=M<\/span> \u098f\u09ac\u0982 \u09ac\u09c7\u0997 <\/span>v<\/span>1<\/span> \u098f\u09ac\u0982 \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 <\/span>=m<\/span> \u098f\u09ac\u0982 \u09ac\u09c7\u0997 <\/span>=<\/span>v<\/span>2<\/span>\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09a6\u09cd\u09ac\u09df\u09c7\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997 \u09b8\u09ae\u09be\u09a8 \u09b9\u09b2\u09c7,<\/span><\/p>\n

M<\/span>v<\/span>1<\/span>=m<\/span>v<\/span>2<\/span>=P<\/span><\/p>\n

\u2234<\/span>\u09b9\u09be\u09b2\u0995\u09be<\/span>\u00a0<\/span>\u09ac\u09b8\u09cd\u09a4\u09c1\u09b0<\/span>\u00a0<\/span>\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf<\/span>\u09ad\u09be\u09b0\u09c0<\/span>\u00a0<\/span>\u09ac\u09b8\u09cd\u09a4\u09c1\u09b0<\/span>\u00a0<\/span>\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf<\/span>=<\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span>2<\/span>1<\/span>2<\/span>M<\/span>v<\/span>1<\/span>2<\/span>=<\/span>P<\/span>2<\/span>\/2m<\/span>P<\/span>2<\/span>\/2M<\/span>=<\/span>M<\/span>m<\/span><\/p>\n

\u2234m<\/span> \u0985\u09aa\u09c7\u0995\u09cd\u09b7\u09be <\/span>M<\/span> \u09ac\u09dc \u09b9\u09b2\u09c7 <\/span>(M>m)<\/span> \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u099a\u09c7\u09df\u09c7 \u09ac\u09c7\u09b6\u09bf \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u09e9\u0964 \u098f\u0995\u099f\u09bf \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1 \u098f\u09ac\u0982 \u098f\u0995\u099f\u09bf \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u09ae\u09be\u09a8\u0964 \u0995\u09cb\u09a8\u099f\u09bf\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997 \u09ac\u09c7\u09b6\u09bf?<\/b><\/p>\n

\u09ae\u09a8\u09c7 \u0995\u09b0\u09bf, \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 <\/span>M<\/span> \u0993 \u09ac\u09c7\u0997 <\/span>v<\/span>1<\/span> \u098f\u09ac\u0982 \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0 <\/span>m<\/span> \u0993 \u09ac\u09c7\u0997 <\/span>v<\/span>2<\/span>\u0964 \u0985\u09a4\u098f\u09ac \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997 <\/span>P<\/span>1<\/span>=M<\/span>v<\/span>1<\/span> \u098f\u09ac\u0982 \u09b9\u09be\u09b2\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997 <\/span>P<\/span>2<\/span>=m<\/span>v<\/span>2<\/span> \u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09a6\u09c1\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\n

\u2234<\/span>1<\/span>2<\/span>M<\/span>v<\/span>1<\/span>2<\/span>=<\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span>2<\/span><\/p>\n

\u2234<\/span>P<\/span>1<\/span>2<\/span>2M<\/span>=<\/span>P<\/span>2<\/span>2<\/span>2m<\/span><\/p>\n

\u2234<\/span>P<\/span>1<\/span>P<\/span>2<\/span>=<\/span>M<\/span>m<\/span><\/p>\n

m<\/span> \u0985\u09aa\u09c7\u0995\u09cd\u09b7\u09be <\/span>M<\/span> \u09ac\u09dc \u09b9\u09b2\u09c7 <\/span>(M>m)<\/span> \u09ad\u09be\u09b0\u09c0 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997 \u09b9\u09be\u09b2\u09cd\u0995\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ad\u09b0\u09ac\u09c7\u0997\u09c7\u09b0 \u099a\u09c7\u09df\u09c7 \u09ac\u09c7\u09b6\u09bf \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

\u0995\u09be\u099c-\u09b6\u0995\u09cd\u09a4\u09bf \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af(Work-Energy Theorem)<\/b><\/h3>\n

\u09ac\u09bf\u09ac\u09c3\u09a4\u09bf : <\/b>\u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u09ac\u09b2 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0995\u09c3\u09a4\u0995\u09be\u099c \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\n

\u09a7\u09cd\u09b0\u09c1\u09ac \u09ac\u09b2\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09aa\u09cd\u09b0\u09a4\u09bf\u09aa\u09be\u09a6\u09a8 :<\/b> \u09a7\u09b0\u09be \u09af\u09be\u0995, <\/span>v<\/span>0<\/span> \u09ac\u09c7\u0997\u09c7 \u0997\u09a4\u09bf\u09b6\u09c0\u09b2 <\/span>m<\/span> \u09ad\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 <\/span>F<\/span> \u09a7\u09cd\u09b0\u09c1\u09ac \u09ac\u09b2 \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u09c7\u0964 \u098f\u09b0 \u09ab\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09ac\u09c7\u0997 \u09b9\u09df <\/span>v<\/span> \u098f\u09ac\u0982 \u0990 \u09b8\u09ae\u09df\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u09ac\u09b2\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 <\/span>x<\/span> \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac \u0985\u09a4\u09bf\u0995\u09cd\u09b0\u09ae \u0995\u09b0\u09c7\u0964<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09ac\u09b2 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0995\u09c3\u09a4 \u0995\u09be\u099c<\/span><\/p>\n

W=Fx<\/span><\/p>\n

\u098f\u0987 \u09ac\u09b2 \u09aa\u09cd\u09b0\u09df\u09cb\u0997\u09c7\u09b0 \u09ab\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09a7\u09cd\u09b0\u09c1\u09ac \u09a4\u09cd\u09ac\u09b0\u09a3 <\/span>a<\/span> \u09b9\u09b2\u09c7, \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u09b0 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 <\/span>F=ma<\/span><\/p>\n

\u2234W=max<\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u0997\u09a4\u09bf\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf, <\/span>v<\/span>2<\/span>=<\/span>v<\/span>0<\/span>2<\/span>+2ax<\/span> \u09ac\u09be, <\/span>ax=<\/span>v<\/span>2<\/span>–<\/span>v<\/span>0<\/span>2<\/span>2<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span>W=m<\/span>v<\/span>2<\/span>–<\/span>v<\/span>0<\/span>2<\/span>2<\/span>=<\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span>–<\/span>1<\/span>2<\/span>m<\/span>v<\/span>0<\/span>2<\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 <\/span>1<\/span>2<\/span>m<\/span>v<\/span>0<\/span>2<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0986\u09a6\u09bf \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf <\/span>K<\/span>o<\/span> \u098f\u09ac\u0982 <\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09b6\u09c7\u09b7 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf <\/span>K<\/span>\u0964<\/span><\/p>\n

\u2234W=K-<\/span>K<\/span>=<\/span>K<\/span><\/p>\n

\u2234<\/span>\u09ac\u09b2<\/span>\u00a0<\/span>\u09a6\u09cd\u09ac\u09be\u09b0\u09be<\/span>\u00a0<\/span>\u0995\u09c3\u09a4<\/span>\u00a0<\/span>\u0995\u09be\u099c<\/span>=<\/span>\u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0<\/span>\u00a0<\/span>\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0<\/span>\u00a0<\/span>\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8<\/span><\/p>\n

\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09b6\u09c0\u09b2 \u09ac\u09b2\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09aa\u09cd\u09b0\u09a4\u09bf\u09aa\u09be\u09a6\u09a8 : <\/b>\u09a7\u09b0\u09be \u09af\u09be\u0995, \u0995\u09cb\u09a8\u09cb \u0995\u09a3\u09be\u09b0 \u0989\u09aa\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09b6\u09c0\u09b2 \u09ac\u09b2 <\/span>F<\/span> \u0995\u09cd\u09b0\u09bf\u09df\u09be \u0995\u09b0\u099b\u09c7\u0964 \u09ac\u09b2\u09c7\u09b0 \u09ae\u09be\u09a8 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09b6\u09c0\u09b2 \u09b9\u09b2\u09c7\u0993 \u098f\u09b0 \u09a6\u09bf\u0995 \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09b6\u09c0\u09b2\u0964 \u09b8\u09c7\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0995\u09a3\u09be\u099f\u09bf\u09b0 \u09b8\u09b0\u09a3\u09c7\u09b0 \u0985\u09ad\u09bf\u09ae\u09c1\u0996 \u09ac\u09b2\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7\u0987 \u09b9\u09ac\u09c7\u0964 \u09a7\u09b0\u09be \u09af\u09be\u0995, \u0995\u09a3\u09be\u099f\u09bf <\/span>X<\/span>-\u0985\u0995\u09cd\u09b7 \u09ac\u09b0\u09be\u09ac\u09b0 \u0997\u09a4\u09bf\u09b6\u09c0\u09b2\u0964 \u0986\u09b0\u09cb \u09a7\u09b0\u09be \u09af\u09be\u0995, \u09b6\u09c1\u09b0\u09c1\u09a4\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 <\/span>x<\/span>0<\/span> \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09ac\u09c7\u0997 <\/span>v<\/span>0<\/span> \u098f\u09ac\u0982 \u09b6\u09c7\u09b7\u09c7 <\/span>x<\/span> \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09ac\u09c7\u0997 <\/span>v<\/span>\u0964 \u098f\u0996\u09a8 \u0995\u09a3\u09be\u099f\u09bf\u0995\u09c7 <\/span>x<\/span>0<\/span> \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09a5\u09c7\u0995\u09c7 <\/span>x<\/span> \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09b8\u09b0\u09be\u09a4\u09c7 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u09ac\u09b2 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0995\u09c3\u09a4 \u0995\u09be\u099c\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3<\/span><\/p>\n

W=<\/span>x<\/span>0<\/span>x<\/span>\u200aFdx<\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u09a8\u09bf\u0989\u099f\u09a8\u09c7\u09b0 \u0997\u09a4\u09bf\u09b0 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf,<\/span><\/p>\n

F=ma<\/span><\/p>\n

\u0986\u09ac\u09be\u09b0, <\/span>a=<\/span>dv<\/span>dt<\/span>=<\/span>dv<\/span>dx<\/span>dx<\/span>dt<\/span>=<\/span>dv<\/span>dx<\/span>\u22c5v=v<\/span>dv<\/span>dx<\/span><\/p>\n

\u2234F=mv<\/span>dv<\/span>dx<\/span>\u00a0<\/b><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c, <\/span>W=<\/span>x<\/span>0<\/span>x<\/span>\u200amv<\/span>dv<\/span>dx<\/span>dx<\/span><\/p>\n

\u09af\u0996\u09a8 <\/span>x=<\/span>x<\/span> \u09a4\u0996\u09a8 <\/span>v=<\/span>v<\/span>o<\/span><\/p>\n

\u098f\u09ac\u0982 \u09af\u0996\u09a8 <\/span>x=x<\/span> \u09a4\u0996\u09a8 <\/span>v=v<\/span><\/p>\n

\u2234W=<\/span>v<\/span>0<\/span>v<\/span>\u200amvdv=m<\/span>v<\/span>0<\/span>v<\/span>\u200avdv=m<\/span>v<\/span>2<\/span>2<\/span>v<\/span>0<\/span>v<\/span>=<\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span>–<\/span>1<\/span>2<\/span>m<\/span>v<\/span>o<\/span>2<\/span><\/p>\n

\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 <\/span>1<\/span>2<\/span>m<\/span>v<\/span>o<\/span>2<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0986\u09a6\u09bf \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf <\/span>K<\/span>o<\/span> \u098f\u09ac\u0982 <\/span>1<\/span>2<\/span>m<\/span>v<\/span>2<\/span> \u09b9\u099a\u09cd\u099b\u09c7 \u09b6\u09c7\u09b7 \u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf K\u0964<\/span><\/p>\n

\u2234W=K-<\/span>K<\/span>=<\/span>K<\/span><\/p>\n

\u2234<\/span>\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09b6\u09c0\u09b2<\/span>\u00a0<\/span>\u09ac\u09b2<\/span>\u00a0<\/span>\u09a6\u09cd\u09ac\u09be\u09b0\u09be<\/span>\u00a0<\/span>\u0995\u09c3\u09a4\u0995\u09be\u099c<\/span>=<\/span>\u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0<\/span>\u00a0<\/span>\u0997\u09a4\u09bf\u09b6\u0995\u09cd\u09a4\u09bf\u09b0<\/span>\u00a0<\/span>\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u0964<\/span><\/p>\n

\u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09be \u09b8\u09cd\u09a5\u09bf\u09a4\u09bf \u09b6\u0995\u09cd\u09a4\u09bf(Potential Energy)<\/b><\/h3>\n

\u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1 \u09a4\u09be\u09b0 \u09ad\u09cc\u09a4 \u0985\u09ac\u09b8\u09cd\u09a5\u09be \u09ac\u09be \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7\u09b0 \u0995\u09be\u09b0\u09a3\u09c7 \u09a4\u09be\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u09b0\u09be\u0996\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u098f\u0987 \u09b6\u0995\u09cd\u09a4\u09bf\u0995\u09c7 \u09ac\u09b2\u09be \u09b9\u09df \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf(Potential Energy)\u0964<\/span><\/p>\n

\u09b8\u0982\u099c\u09cd\u099e\u09be : <\/b>\u09b8\u09cd\u09ac\u09be\u09ad\u09be\u09ac\u09bf\u0995 \u0985\u09ac\u09b8\u09cd\u09a5\u09be \u09ac\u09be \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0995\u09b0\u09c7 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u0985\u09a8\u09cd\u09af \u0995\u09cb\u09a8\u09cb \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09ac\u09be \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u0986\u09a8\u09b2\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1 \u0995\u09be\u099c \u0995\u09b0\u09be\u09b0 \u09af\u09c7 \u09b8\u09be\u09ae\u09b0\u09cd\u09a5\u09cd\u09af \u0985\u09b0\u09cd\u099c\u09a8 \u0995\u09b0\u09c7 \u09a4\u09be\u0995\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be :<\/b> \u098f\u0995\u099f\u09bf \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982 \u09ac\u09be \u09b0\u09be\u09ac\u09be\u09b0 \u09ac\u09cd\u09af\u09be\u09a8\u09cd\u09a1\u0995\u09c7 \u099f\u09be\u09a8 \u099f\u09be\u09a8 \u0995\u09b0\u09b2\u09c7 \u098f\u0987 \u099f\u09be\u09a8 \u099f\u09be\u09a8 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09a5\u09be\u0995\u09c7; \u0995\u09c7\u09a8\u09a8\u09be, \u098f\u099f\u09bf \u09a4\u09be\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac\u09ac\u09b0\u09cd\u09a4\u09c0 \u09b6\u09bf\u09a5\u09bf\u09b2 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09ab\u09bf\u09b0\u09c7 \u0986\u09b8\u09be\u09b0 \u09b8\u09ae\u09df \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 \u098f\u099f\u09bf \u0985\u09a8\u09cd\u09af \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u09b8\u09cd\u09a5\u09be\u09a8\u09be\u09a8\u09cd\u09a4\u09b0\u09bf\u09a4 \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u09ad\u09c2-\u09aa\u09c3\u09b7\u09cd\u09a0 \u09a5\u09c7\u0995\u09c7 \u0989\u09aa\u09b0\u09c7 \u0993\u09a0\u09be\u09b2\u09c7 \u0985\u09ac\u09bf\u0995\u09b0\u09cd\u09b7 \u09ac\u09b2\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09b9\u09df\u0964 \u098f\u0987 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09a5\u09be\u0995\u09c7; \u0995\u09c7\u09a8\u09a8\u09be, \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u09af\u0996\u09a8 \u09ad\u09c2-\u09aa\u09c3\u09b7\u09cd\u09a0\u09c7 \u09aa\u09dc\u09c7 \u09a4\u0996\u09a8 \u09b8\u09c7\u099f\u09bf \u0985\u09a8\u09cd\u09af \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 \u0985\u09a8\u09cd\u09af \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u0989\u09aa\u09b0\u09c7 \u0993\u09a0\u09be\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964<\/span><\/p>\n

(\u0995) \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf (Gravitational Potential Energy)<\/b><\/h4>\n

\u09af\u0996\u09a8 <\/span>m<\/span> \u09ad\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u09ad\u09c2-\u09aa\u09c3\u09b7\u09cd\u09a0 \u09a5\u09c7\u0995\u09c7 <\/span>h<\/span> \u0989\u099a\u09cd\u099a\u09a4\u09be\u09df \u0993\u09a0\u09be\u09a8\u09cb \u09b9\u09df, \u09a4\u0996\u09a8 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7 \u09ac\u09b2\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0995\u09c3\u09a4 \u0995\u09be\u099c\u0987 \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09a4\u09c7 \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09aa\u0964 <\/span>m<\/span> \u09ad\u09b0\u09c7\u09b0 \u09ac\u09b8\u09cd\u09a4\u09c1\u0995\u09c7 \u09a4\u09cd\u09ac\u09b0\u09a3 \u099b\u09be\u09dc\u09be \u09b8\u09ae\u09ac\u09c7\u0997\u09c7 \u0989\u09aa\u09b0\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u0993\u09a0\u09be\u09a4\u09c7 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8\u09c0\u09df \u09ac\u09b2 <\/span>F\u00a0<\/span>\u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0989\u09aa\u09b0 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7 \u09ac\u09b2 \u09a4\u09a5\u09be \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0993\u099c\u09a8 <\/span>mg<\/span> \u098f\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982<\/span>\u00a0<\/span>\u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7<\/span>\u00a0<\/span>\u09ac\u09bf\u09ad\u09ac<\/span>\u00a0<\/span>\u09b6\u0995\u09cd\u09a4\u09bf<\/span>=<\/span>\u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7<\/span>\u00a0<\/span>\u09ac\u09b2\u09c7\u09b0<\/span>\u00a0<\/span>\u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7<\/span>\u00a0<\/span>\u0995\u09c3\u09a4<\/span>\u00a0<\/span>\u0995\u09be\u099c<\/span><\/p>\n

U=Fh<\/span> =mgh<\/span><\/p>\n

\u2234U=mgh<\/span><\/p>\n

\u00a0<\/span>\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u09a6\u09c7\u0996\u09be \u09af\u09be\u09df \u09af\u09c7, \u0995\u09cb\u09a5\u09be \u09a5\u09c7\u0995\u09c7 \u0989\u099a\u09cd\u099a\u09a4\u09be <\/span>h<\/span> \u09aa\u09b0\u09bf\u09ae\u09be\u09aa \u0995\u09b0\u09be \u09b9\u09df\u09c7\u099b\u09c7 \u09a4\u09be\u09b0 \u0989\u09aa\u09b0 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u0995\u09b0\u09c7, \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0995\u09cb\u09a5\u09be\u09df <\/span>h=0<\/span> \u09a7\u09b0\u09be \u09b9\u09df\u09c7\u099b\u09c7 \u09a4\u09be\u09b0 \u0989\u09aa\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0\u09b6\u09c0\u09b2\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1 \u09ac\u09be \u09a4\u09be\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u09aa\u09b0\u09ae \u0997\u09c1\u09a3 \u09ac\u09be \u09a7\u09b0\u09cd\u09ae \u09a8\u09df, \u09ac\u09b0\u0982 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u0995\u09b0\u09c7 \u0995\u09cb\u0993 \u09aa\u09cd\u09b0\u09b8\u0999\u09cd\u0997 \u09a4\u09b2\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09a4\u09be \u09aa\u09b0\u09bf\u09ae\u09be\u09aa \u0995\u09b0\u09be \u09b9\u099a\u09cd\u099b\u09c7 \u09a4\u09be\u09b0 \u0989\u09aa\u09b0\u0964 \u09ae\u09a8\u09c7 \u0995\u09b0, \u09a4\u09cb\u09ae\u09be\u09b0 \u09aa\u09dc\u09be\u09b0 \u099f\u09c7\u09ac\u09bf\u09b2\u09c7\u09b0 \u0989\u09aa\u09b0 \u098f\u0995\u099f\u09bf \u09ac\u0987 \u0986\u099b\u09c7\u0964 \u09ac\u0987 \u098f\u09b0 \u0995\u09bf\u099b\u09c1 \u0989\u09aa\u09b0\u09c7 \u09a4\u09c1\u09ae\u09bf \u098f\u0995\u099f\u09bf \u0995\u09b2\u09ae \u09a7\u09b0\u09c7 \u0986\u099b\u0964 \u0995\u09b2\u09ae\u099f\u09bf\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u0995\u09a4? \u0995\u09b2\u09ae\u099f\u09bf\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u098f\u0995\u09c7\u0995\u099f\u09bf \u09a4\u09b2\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u098f\u0995\u09c7\u0995 \u09b0\u0995\u09ae\u0964 \u09ac\u0987 \u098f\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0995\u09b2\u09ae\u099f\u09bf\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09af\u09a4 \u09b9\u09ac\u09c7, \u099f\u09c7\u09ac\u09bf\u09b2\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u09a4\u09be\u09b0 \u099a\u09c7\u09df\u09c7 \u09ac\u09c7\u09b6\u09bf \u09b9\u09ac\u09c7\u0964 \u0986\u09ac\u09be\u09b0 \u0998\u09b0\u09c7\u09b0 \u09ae\u09c7\u099d\u09c7\u09b0 \u09b8\u09be\u09aa\u09c7\u0995\u09cd\u09b7\u09c7 \u0986\u09b0\u09cb \u09ac\u09c7\u09b6\u09bf \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n

(5.24)\u00a0<\/span>\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a5\u09c7\u0995\u09c7 \u09a6\u09c7\u0996\u09be \u09af\u09be\u09df \u09af\u09c7, \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0985\u09ad\u09bf\u0995\u09b0\u09cd\u09b7\u099c \u09ac\u09bf\u09ad\u09ac\u09b6\u0995\u09cd\u09a4\u09bf \u09aa\u09cd\u09b0\u09b8\u0999\u09cd\u0997 \u09a4\u09b2 \u09a5\u09c7\u0995\u09c7 \u09a4\u09be\u09b0 \u0989\u099a\u09cd\u099a\u09a4\u09be\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995\u0964<\/span><\/p>\n

(\u0996) \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982-\u098f\u09b0 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf (Potential Energy for Spring)<\/b><\/h4>\n

\u09a7\u09b0\u09be \u09af\u09be\u0995, \u098f\u0995 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4 \u09a6\u09c3\u09dd\u09ad\u09be\u09ac\u09c7 \u0986\u09ac\u09a6\u09cd\u09a7 \u098f\u0995\u099f\u09bf \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982-\u098f\u09b0 \u09ae\u09c1\u0995\u09cd\u09a4 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u09c7 <\/span>m<\/span> \u09ad\u09b0\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u09ac\u09b8\u09cd\u09a4\u09c1 \u0986\u099f\u0995\u09be\u09a8\u09cb \u0986\u099b\u09c7 (\u099a\u09bf\u09a4\u09cd\u09b0 : \u09eb.\u09ef\u0995)\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf \u098f\u0995\u099f\u09bf \u0998\u09b0\u09cd\u09b7\u09a3\u09ac\u09bf\u09b9\u09c0\u09a8 \u09a4\u09b2\u09c7\u09b0 \u0989\u09aa\u09b0 \u099a\u09b2\u09be\u099a\u09b2 \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 \u0986\u09ae\u09b0\u09be \u099c\u09be\u09a8\u09bf, \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982\u099f\u09bf\u0995\u09c7 \u099f\u09be\u09a8 \u099f\u09be\u09a8 \u0995\u09b0\u09a4\u09c7 \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982 \u09ac\u09b2\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964 \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982 \u09ac\u09b2\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0995\u09c3\u09a4 \u098f\u0987 \u0995\u09be\u099c\u0987 \u098f\u09aa\u09cd\u09b0\u09bf\u0982-\u098f \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf \u09b9\u09bf\u09b8\u09c7\u09ac\u09c7 \u09ac\u09bf\u09b0\u09be\u099c \u0995\u09b0\u09ac\u09c7\u0964<\/span>\u00a0<\/span><\/p>\n

\"energy\"<\/p>\n

\u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982\u099f\u09bf\u0995\u09c7 \u09af\u0996\u09a8 \u09a4\u09be\u09b0 \u09b6\u09bf\u09a5\u09bf\u09b2 \u0985\u09ac\u09b8\u09cd\u09a5\u09be <\/span>x=0<\/span> \u09a5\u09c7\u0995\u09c7 <\/span>x=x<\/span> \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u099f\u09be\u09a8 \u099f\u09be\u09a8 \u0995\u09b0\u09be \u09b9\u09df (\u099a\u09bf\u09a4\u09cd\u09b0 : \u09eb.\u09ef\u0996), \u09a4\u0996\u09a8 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u0989\u09aa\u09b0 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982-\u098f\u09b0 \u09ac\u09b2 <\/span>F<\/span>s<\/span>=-kx<\/span> \u0964 \u098f\u0996\u09a8 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u0995\u09c7 <\/span>x<\/span> \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u09b8\u09b0\u09be\u09a4\u09c7 \u09a4\u09be\u09b0 \u0989\u09aa\u09b0 \u098f\u09b0 \u09b8\u09ae\u09be\u09a8 \u0993 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4\u09ae\u09c1\u0996\u09c0 <\/span>F=kx\u00a0<\/span>\u09ac\u09b2 \u09aa\u09cd\u09b0\u09df\u09cb\u0997 \u0995\u09b0\u09c7 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964 \u098f\u0987 \u09ac\u09b2 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0995\u09c3\u09a4 \u0995\u09be\u099c\u0987 \u09b9\u09ac\u09c7 \u09ac\u09b8\u09cd\u09a4\u09c1\u099f\u09bf\u09b0 \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf\u0964<\/span><\/p>\n

\u00a0<\/span>\u2234<\/span> \u09ac\u09bf\u09ad\u09ac \u09b6\u0995\u09cd\u09a4\u09bf <\/span>U=<\/span>0<\/span>x<\/span>\u200aFdx<\/span><\/p>\n

\u2234U=<\/span>1<\/span>2<\/span>k<\/span>x<\/span>2<\/span><\/p>\n

\u09ac\u09be, <\/span>U=<\/span>0<\/span>x<\/span>\u200akxdx=k<\/span>x<\/span>2<\/span>2<\/span>x<\/span><\/p>\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u0995\u09cb\u09a8\u09cb \u09b8\u09cd\u09aa\u09cd\u09b0\u09bf\u0982 \u098f\u09b0 \u09b8\u099e\u09cd\u099a\u09bf\u09a4 \u09ac\u09bf\u09ad\u09ac\u09b6\u0995\u09cd\u09a4\u09bf \u09a4\u09be\u09b0 \u09ae\u09c1\u0995\u09cd\u09a4\u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u09c7\u09b0 \u09b8\u09b0\u09a3\u09c7\u09b0 \u09ac\u09b0\u09cd\u0997\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995\u0964<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"

\u09b6\u0995\u09cd\u09a4\u09bf(Energy) \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1 \u09af\u09a6\u09bf \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7, \u09a4\u0996\u09a8 \u0986\u09ae\u09b0\u09be \u09ac\u09b2\u09bf \u09af\u09c7, \u0990 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf \u0986\u099b\u09c7\u0964 \u09b8\u0982\u099c\u09cd\u099e\u09be : \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u0995\u09be\u099c \u0995\u09b0\u09be\u09b0 \u09b8\u09be\u09ae\u09b0\u09cd\u09a5\u09cd\u09af\u0995\u09c7 \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09b2\u09c7(energy)\u0964 \u09ac\u09b8\u09cd\u09a4\u09c1 \u09b8\u09b0\u09cd\u09ac\u09ae\u09cb\u099f \u09af\u09a4\u099f\u09c1\u0995\u09c1 \u0995\u09be\u099c \u0995\u09b0\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u09a4\u09be \u09a6\u09bf\u09af\u09bc\u09c7\u0987 \u09ac\u09b8\u09cd\u09a4\u09c1\u09b0 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09aa \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u0995\u09cb\u09a8\u09cb \u09ac\u09b8\u09cd\u09a4\u09c1\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":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2906"}],"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=2906"}],"version-history":[{"count":3,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2906\/revisions"}],"predecessor-version":[{"id":2910,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2906\/revisions\/2910"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=2906"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=2906"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=2906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}