Consider a lever or a machine which acts as a force multiplier in that case we do the same work or create a greater force by moving a smaller distance how the idea of conservation of energy due to time symmetry appear in this case?
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$\begingroup$ Related: physics.stackexchange.com/q/94381/2451 $\endgroup$– Qmechanic ♦Commented Feb 15, 2018 at 10:41
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Work is force times distance, in this case you apply a small force over a large distance, while on the other side a large force is applied over a smaller distance. But the amount of work, the product of force and distance, is the same on both sides.
