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A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle α (Fig. P7.58). Initially the truck is moving downhill at speed υ0. After careening downhill a distance L with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle β. The truck ramp has a soft sand surface for which the coefficient of rolling friction is μr. What is the distance that the truck moves up the ramp before coming to a halt? Solve by energy methods.
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