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Question

A sphere is rolled on a rough horizontal surface. It gradually slows down and stops. The force of friction tries to :

A
decreases the linear velocity.
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B
increase the angular velocity.
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C
increase the linear momentum.
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D
decreases the angular velocity.
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Solution

The correct options are
B decreases the linear velocity.
C increase the angular velocity.
The friction force opposes the motion of the sphere thereby reducing its linear velocity. The frictional force is also responsible for the rolling motion of the sphere. For a frictionless surface the sphere would slide without rolling thus having a zero angular velocity. Thus the presence of friction tends to increase the angular velocity of the sphere.

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