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I read this question in the textbook, "Concepts of Physics, Vol. 1":

"When you lift a box from the floor and put it on an almirah the potential energy of the box increases, but there is no change in its kinetic energy. Is it a violation of conservation of energy?"

The answer ofcourse would be no but how I am not sure?

I first thought that it would have taken energy from something else thus keeping the total energy constant but then realised that this argument was rubbish as I could not think of anything that lost energy.

The potential energy here is given by $$U = -mgh$$ h increases and U must be constant so g must decrease and it does decrease. But the decrease is minuscule and I have a feeling that even this line of reasoning is wrong.

So how to resolve this seeming paradox?

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When you lift a box from the floor and put it on an almirah the potential energy of the box increases, but there is no change in its kinetic energy. Is it a violation of conservation of energy?

I could not think of anything that lost energy

You lost energy.

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  • $\begingroup$ So the earlier reasoning was not rubbish indeed. $\endgroup$ Commented Aug 30, 2023 at 15:26
  • $\begingroup$ @Laplace'sDemon yes. The reasoning is not rubbish $\endgroup$
    – Dale
    Commented Aug 30, 2023 at 16:16

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