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|| 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 set moving. The coefficients of kinetic and static friction between the box and the bed of the truck are 0.355 and 0.650, respectively. Starting from rest, what is the shortest time in which this truck could accelerate uniformly to 30.0 m/s (≈60 mi/h) without causing the box to slide? Include a free-body diagram of the toolbox as part of your solution. (Hint: First 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 30.0 m/s.)
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