Question

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
µ _{s} = 0.7** between the box and the floor of the
trailer. Assume g = 10 m/s

When the truck

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?

Answer #1

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