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Q.

A body of mass m slides downward along a plane inclined at an angle α . The coefficient of friction is μ . The rate at which kinetic energy plus gravitational potential energy dissipates expressed as a function of time is

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a

μmtg2cosα

b

μmtg2cosαsinα−μcosα

c

μmtg2sinα

d

μmtg2sinαsinα−μcosα

answer is B.

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Detailed Solution

The rate at which total mechanical energy dissipates with time is equal to the work done by the  dissipative force per unit time.⇒Pdissipative=fV=fat⇒Pdissipative=μmtgcosαgsinα−μcosα
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A body of mass m slides downward along a plane inclined at an angle α . The coefficient of friction is μ . The rate at which kinetic energy plus gravitational potential energy dissipates expressed as a function of time is