Question

why is the work done on an object moving with uniform circular motion zero?

Answer 1

because there is equal displacement at equal amount of time which is considered nothing in work done

Answer 2

Work done = Force x displacement cos @

In a circular motion, the body moves in a circular path.The force is perpendicular to the displacement.
So the value of @ = 90° (@ = theta,assumed)

We know cos @ = 0
Work done in a circular motion =
Force x displacement x 0
= 0

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