Losing Cargo. A box of mass m rests on the flat floor of a truck. The coefficients of friction between the box and floor are "us" and "uk". The truck stops at a stop sign and then starts to move with an acceleration of a. If the box is a distance x from the rear of the truck when the truck starts, how much time elapses before the box falls off the truck? How far does the truck travel in this time? Take the vertical acceleration to be g.
The Attempt at a Solution
Well, I'm pretty stuck here. I know that there must be some force greater than "us"n to get the box to start moving. And then it will accelerate f=ma with the force being the force of the trcuk moving - the force "uk"n. So, where I'm stuck is relating these values to time. How long does it take the box to become unstuck and overcome the static friction? I'm super confused. I know if I get the first part how to solve the second. Any help is greatly appreciated.