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Q.

When the angle of inclination of an inclined plane is θ , an object slides down with uniform velocity. If the same object is pushed up with an initial velocity u on the same inclined plane, it goes up the plane and stops at a certain distance on the plane. There after the body.

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a

Stays at rest on the inclined plane and will not side down.

b

Slides down the inclined plane and reaches the ground with velocity less than "u"

c

Slides down the inclined plane and reaches the ground with velocity "u"

d

Slides down the inclined plane and reaches the ground with velocity greater than "u"

answer is D.

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Detailed Solution

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Since the body is sliding down the inclined surface with constant velocity.

mgsinθ = f=μkmgcosθ  ; μk=tanθ

In the second case , when the body stops , mgsinθ = f and the body will not have any tendency to slide down the inclined surface because here μk= tanθ to slide μs has to be equal to tanθ

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