A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle alfa (see figure). Initially the truck is moving downhill at speed v0. After sliding downhill a distance L with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle beta. The truck ramp has a soft sand surface for which the coefficient of rolling friction is f. After an unknown distance D along the ramp the truck comes to a halt. The acceleration of gravity is g. What is the total work Wf done by the friction force on the runway ramp?

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A: GivenCoefficient of state friction         μs Coefficient of kinetic friction        μk =0.470.

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Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.