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A body of mass m slides down a plane inc...

A body of mass m slides down a plane inclined at an angle `alpha`. The coefficient of friction is `mu`. Find the rate at which kinetic plus gravitational potential is dissipated at any time t.

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Rete at which kinetic plus gravitation potential energy is dissipated at time t is actually the magnitude of power of frictional force at time t.
`|P_(f)|=f.(mu mg cos alpha)(at)`
`= (mu mg cos alpha)[(g sin alpha-mug cos alpha)t]`
`=mumg^(2) cos alpha (sin alpha-mu cos alpha)t`.
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