*I really don't know how to get started. I have done lots of the homework, but this one (and a couple of others) are really giving me PROBLEMS.*
A pickup truck is carrying a toolbox, but the rear gate of the truck is missing, so the box will slide out if it is sent moving. The coeffecients of kinetic and static friction between the box and the bed of the truck are 0.315 and 0.750, respectively.
Starting from rest, what is the shortest time this truck could acclerate uniformly to 28.0 m/s (approx 62.6 mph) without causing the box to slide?
Answer expressed in seconds.
I know you have to use Newton's second law to find the maximum acceleration that static friction can give the box, and then solve for the time required to reach 28 m/s, but I don't actually know HOW to do this.
Force friction= massbox*g*muStatic
This force must equal massbox*accelerationtruck.
set them equal, and solve for the acceleration of the truck.
Then,
velocityfinal=acceleration*time
solve for time.