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Question:

The potential energy of a freely falling object decreases progressively. Does this violate the law of conservation of energy?

Solution:

No, it does not violate the law of conservation of energy.
According to conservation of energy,
ETotal=P.E+K.E
Thus for a freely falling object, its potential energy decreases but kinetic energy increases in such a way that its total mechanical energy remains constant.
Moreover, potential energy of a freely falling object is converted into its kinetic energy.