A pickup truck carries cans of paint (each of mass m) in the back bed. The coefficient of static friction between the cans and the bed of the truck is 0.54. There is no back gate to the truck. When the truck accelerates from rest, the paint cans do not slip out of the bed of the truck. (a) If the truck travels in the positive x-direction, in what direction does the static friction force act? (b) What is the maximum allowable acceleration the truck can have without losing paint cans out of the back, in terms of the variables given in the problem (and g if relevant)? (c) How long must the driver take to accelerate to 55 mph in order to avoid losing paint cans out of the truck's back?

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: