Problem: A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle 0 . Initially the truck is moving downhill at speed L. After careening downhill a distance r with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle eta. The truck ramp has a soft sand surface for which the coefficient of rolling friction is mu_r.What is the distance that the truck moves up the ramp before coming to a halt? Solve using energy methods.

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Problem Details

A truck with mass m has a brake failure while going down an icy mountain road of constant downward slope angle 0 . Initially the truck is moving downhill at speed L. After careening downhill a distance r with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle . The truck ramp has a soft sand surface for which the coefficient of rolling friction is .

What is the distance that the truck moves up the ramp before coming to a halt? Solve using energy methods.

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