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Question

A particle of mass m performs vertical motion in a circle of radius r. Its potential energy at the highest point is _____________.
(g is acceleration due to gravity)

A
2 mgr
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B
mgr
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C
0
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D
3 mgr
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Solution

The correct option is D 2 mgr
When a body is performing a vertical circular motion, its path has a fixed radius r.
We know that the gravitational potential energy for a body raised above the ground is mgh.
When the body reaches the highest point, its height h becomes equal to double of radius 2r. So PE becomes mg2r=2mgr.

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