A small sphere is moving at a constant speed in a vertical circle. Below is a list of quantities that could be used to describe some aspect of the motion of the sphere.
$I$ -kinetic energy
$I I$ -gravitational potential energy
$I I I$ - momentum
Which of these quantities will change as this sphere moves around the circle?

I

and

I I

only

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I

and

I I I

only

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I I I

only

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I I

and

I I I

only

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Solution

The correct option is D $I I$ and $I I I$ only
Speed is given as constant. Though the velocity is changing only in direction, its magnitude remains the same. Thus the kinetic energy remains constant as it is a scalar quantity but momentum would change as it is a vector quantity.
Also as the elevation of the ball keeps on changing during the motion, the potential energy changes

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