Question

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

Answer 1

Answer:

Work done is equal to Force (acting in the direction of displacement) times the displacement i.e. W=F.S where (.) is dot product. For the work done we need component of force along the direction of displacement but displacement and force are 90°, at each and every point on the circular track and therefore the component of force along the direction of displacement will always be zero in case of a body moving in a circular track or a body performing circular motion. We know W=F.S or F.Scos(θ), since body is moving in circular track cos(θ)=0 , and hence whole term will be 0 i.e. Work done will be 0.

Answer 2

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Work done on an object is the force applied and the displacement covered in the direction of the force applied. W=FScosθ. Force in uniform circular motion is always perpendicular to the displacement and hence the angle between F and S is 900 always. Hence, The work done in a uniform circular motion is always zero.

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