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A force is applied at one end of a string, the other end of which is tied to a block of mass . The block is free to move on a frictionless horizontal surface.
Take initial instant as and final instant as . For the time between these two instants
Take initial instant as and final instant as . For the time between these two instants

(a)Net work done by the force on the block is
(b)The ratio of initial acceleration to final acceleration of the block is
(c)The final velocity of the block if initially it was at rest is
(d)Net work done by the force on the block is

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[ is the acceleration due to gravity]

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A small block starts slipping down from a point on an inclined plane , which is making an angle with the horizontal section is smooth and the remaining section is rough with a coefficient of friction . It is found that the block comes to rest as it reaches the bottom (point A) of the inclined plane. If , the coefficient of friction is given by . The value of is .......

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