A pickup truck is carrying a toolbox, but the rear gate of thetruck is missing, so the box will slide out if it is set moving.The coefficients of kinetic and static friction between the box andthe bed of the truck are 0.355 and 0.600, respectively.

Starting from rest, what is the shortest time this truck couldaccelerate uniformly to 39.0 ( $\approx$ 87.2 ) without causing the box to slide. (Hint:First use Newton’s second law to find the maximumacceleration that static friction can give the box, and then solvefor the time required to reach 39.0 .)

Question

A pickup truck is carrying a toolbox, but the rear gate of thetruck is missing, so the box will slide out if it is set moving.The coefficients of kinetic and static friction between the box andthe bed of the truck are 0.355 and 0.600, respectively.

Starting from rest, what is the shortest time this truck couldaccelerate uniformly to 39.0 m/s ( $\approx$ 87.2 mph ) without causing the box to slide. (Hint:First use Newton’s second law to find the maximumacceleration that static friction can give the box, and then solvefor the time required to reach 39.0 m/s .)

Unlock all answers

Related textbook solutions

Physics: Principles with Applications

Related questions

Weekly leaderboard