prove that total mechanical energy of a free falling object remains always constant
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The law of conservation of energy says that 'energy can neither be created nor be destroyed', so it means that under a conservative force the sum of the falling object will remain constant.
As the falling object's Potential energy will keep on decreasing and Kinetic energy will increase in the fixed amount.
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Explanation:
The body has moved a distance x from A. If the body reaches the position C. Thus we have seen that sum of potential and kinetic energy of freely falling body at all points remains same. Under the force of gravity, the mechanical energy of a body remains constant.
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