A box (400 kg) sits inside the trailer of a
semitruck traveling at a speed of 20 m/s (~ 44
mph). Suddenly, a car in front of the truck stops in the road. The
driver of the truck hits the brakes to bring the truck to a stop.
Assume that the coefficient of static friction
µs = 0.7 between the box and the floor of the
trailer. Assume g = 10 m/s2.
When the truck slows down while traveling left,
what is the direction of the
friction force on box 1 (right, left, none)?
When the truck is slowing down, what is the maximum magnitude of the static friction force on box 1 (to slow it down with the truck and not let it slide)?
When the truck is slowing down, what is the maximum magnitude of the truck's acceleration such that box 1 does not slide?
What is the minimum time for the truck to stop such that box 1 does not slide? Use your maximum acceleration from the previous problem.
Given this minimum time, what is the minimum distance for the truck to stop without box 1 sliding?
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