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Standard XII

Physics

Satellites

A particle of...

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)

2 m g r

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3 m g r

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Solution

The correct option is D $2 m g r$
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 $m g h .$
When the body reaches the highest point, its height $h$ becomes equal to double of radius $2 r .$ So PE becomes $m g 2 r = 2 m g r .$

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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 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)