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Energy Book-keeping. E 2 - E 1 = W NC. E. Energy. h. x. U G. K. U S. U S = 0. U G = 0. = Mgh. =½ kx 2. = 0. E=U S +U G +K. E 1 = ½ kx 2 +0+0. E 2 = 0+Mgh+0. E 2 – E 1 = W NC. E 1 = E 2 ===>. ½ kx 2 = Mgh. E. Energy. v. x. U G. K. U S. U S = 0. = 0. = 0.
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Energy Book-keeping E2 - E1 = WNC
E Energy h x UG K US US= 0 UG= 0 = Mgh =½ kx2 = 0 E=US+UG+K E1= ½ kx2+0+0 E2= 0+Mgh+0 E2 – E1 = WNC E1= E2 ===> ½ kx2 = Mgh
E Energy v x UG K US US= 0 = 0 = 0 UG= 0 = ½ kx2 US= 0 K = ½ Mv2 UG = Mgx E2 = 0 + Mgx + ½ Mv2 E = US+UG+ K E1 = E2 ===> ½ kx2 = Mgx + ½ Mv2 E1 = ½ kx2 + 0 + 0
E1 E2 Energy v kx x Mg fk UG K US WNC = - fkx US= 0 = 0 = 0 UG= 0 = ½ kx2 US= 0 K = ½ Mv2 UG = Mgx E2 = 0 + Mgx + ½ Mv2 E = US+UG+ K E2 – E1 = WNC (Mgx + ½ Mv2)– ½ kx2 = - fkx E1 = ½ kx2 + 0 + 0