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Question

A particle is moving in a circular path with uniform speed. Is its kinetic energy same at all points?

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Solution

If the circle is in a horizontal plane then the KE will not change. If the circle is in a vertical plane then the gravitational potential at the top will be 2mgr (r is the radius) and zero at the bottom. The KE will vary in the opposite way .
Kinetic energy classically follows the following equation: K E = 1 /2 m* v^ 2
Where m is mass, and v is velocity. Assuming it's vertical in a uniform gravitational field, the KE will be maximum at the bottom, and minimum at the top. At the left and right, it will be equal.


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