1.

Show graphically that the total energy of a body falling freely under gravity is constant.

Answer»

SOLUTION :The above diagram illustrates that, if an object starts from rest at height h, then the total energy is PURELY POTENTIAL energy `U=mgh`. Its kinetic energy KE is ZERO at h.
When the object falls at some distance (height) y, the potential energy and the kinetic energy are not zero whereas, the total energy remains same as measured at height h. When the object is about to touch the ground, the potential energy is zero and total energy is purely kinetic.


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