An object is gently placed on a long conveyer belt moving with a uniform speed of 5 ms−1. If the coefficient of friction between the block and the belt is 0.5, how far will the box move on the belt (relative to belt) before coming to rest? Take g=10 ms−2.
The force of friction between the block and the belt is f=μmg, where m is the mass of the object. This force produces an acceleration of the block which is given by
The block will move relative to the belt until its speed (v) becomes equal to the speed of the belt. Since u = 0, we have
Hence, the correct choice is (b).