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

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प्रश्न

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

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उत्तर

Work done on an object is given as `W = F xx S costheta`

In circular motion, the direction of force acting on the object is radially inward and the direction of motion of the object is tangential to the circular path at every instant of time. Thus, the angle `theta` between the force vector and displacement vector is always 90i.e. `theta = 90^circ`.

Hence, `W = F xx S cos 90 = 0`

Hence, the work done on an object moving in uniform circular motion is zero.

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अध्याय 2: Work and Energy - Exercises [पृष्ठ २८]

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बालभारती Science and Technology [English] Standard 9 Maharashtra State
अध्याय 2 Work and Energy
Exercises | Q 1. f. | पृष्ठ २८

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