CBSE PHYSICS: LAW OF CONSERVATION OF ENERGY(9th physics) : LAW OF CONSERVATION OF ENERGY Energy can neither be created nor destroyed, but it is transformed from one form to another. Alternatively, whenever energy gets transformed, the total energy remains unchanged. Proof – Freely falling body It may be shown that in the absence of external frictional force the total mechanical energy of a body remains constant. Let a body of mass m falls from a point A, which is at a height h from the ground as shown in fig. At A, Kinetic energy kE = 0 Potential energy Ep = mgh Total energy E = Ep + Ek = mgh + 0= mgh During the fall, the body is at a position B. The body has moved a distance x from A. At B, velocity v 2 = u 2 + 2as applying, v 2 = 0 + 2ax = 2ax Kinetic energy Ek = 1/2 m v 2 = 1/2 m x 2gx = mgx Potential energy Ep = mg (h – x) Total energy E = Ep + Ek = mg (h-x) + mgx = mgh – mgx + mgx= mgh If the body reaches the position C. At C, Potential energy Ep = 0 V
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