Question

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

Answer 1

☆☆☆ᴀɴsᴡᴇʀ:-☆☆☆

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.

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ʀᴇɢᴀʀᴅs,

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Answer 2

Work done on an object is the force applied and the displacement covered in the direction of the force applied.

Mathematically-

W=FScosθ.

Force in uniform circular motion is always perpendicular to the displacement and hence the angle between F and S is 900 always.

After putting the value of θ.

Work = 0.

Hence, The work done in a uniform circular motion is always zero.

HOPE IT HELPS