A particle of mass 1 kg was sliding with a velocity of 10 m/s on a rough floor. It comes to rest after 5s. The rate at which floor warms up is

5 W

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10 W

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15 W

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20 W

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Solution

The correct option is B
10 W

The rate at which floor warms up is the rate at which friction does work. Due to friction between floor and particle heat would be produced and the work done by friction would be dissipated as heat.So, the rate at which floor warms up would be equal to the rate of frictional work i.e. 1/2 x 1 x 10² = 50J and 50/5 = 10W. Whole of the kinetic energy possessed by the body would be dissipated as heat due to the negative work done by friction

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