You may have noticed runaway truck lanes while driving in the mountains. These g

Question

You may have noticed runaway truck lanes while driving in the mountains. These gravel-filled lanes are designed to stop trucks that have lost their brakes on mountain grades. Typically such a lane is horizontal (if possible) and about 41.0 m long. We can think of the ground as exerting a frictional drag force on the truck. The truck enters the gravel lane with a speed of 55.0 mph (24.6 m/s).

1) Calculate the minimum coefficient of kinetic friction between the truck and the lane to be able to stop the truck. (Express your answer to three significant figures.)

Explanation / Answer

Work done by friction force= change in total Energy
so,
W= (friction force)*d= (mu*N)*(35)
so,
mu*m*g*35= 1/2*m*v^2
so,
mu= 0.5*(24.6)^2/(9.81*35)
solving it,

mu = 0.8812

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