A box of mass m is resting in the flat bed of a truck which is stopped at a red light on a road which slopes upward at an angle qabove the horizontal. The coefficients of friction between the box and the truck bed are given by μs and μk.The light turns green and the truck begins to accelerate.Write all answers in terms of variables given in the problem and any appropriate constants. 1)Draw a free body diagram for the box. 2)Find the maximum acceleration amax of the truck such that the box remains in the exact same place in the truck without sliding. 3)Assume the truck accelerates at a rate greater than the maximum found in part b. (atruck> amax). From the perspective of someone sitting in theback of the truck with the box, the box will beginaccelerating toward the back of the truck. Express this acceleration abox in terms of m, the distance to the back of the truck L, and the kinetic energy K of the box just before it hits the back of the truck.
A box of mass m is resting in the flat bed of a truck which is stopped at a red light on a road which slopes upward at an angle qabove the horizontal. The coefficients of friction between the box and the truck bed are given by μs and μk.The light turns green and the truck begins to accelerate.Write all answers in terms of variables given in the problem and any appropriate constants.
1)Draw a free body diagram for the box.
2)Find the maximum acceleration amax of the truck such that the box remains in the exact same place in the truck without sliding.
3)Assume the truck accelerates at a rate greater than the maximum found in part b. (atruck> amax). From the perspective of someone sitting in theback of the truck with the box, the box will beginaccelerating toward the back of the truck. Express this acceleration abox in terms of m, the distance to the back of the truck L, and the kinetic energy K of the box just before it hits the back of the truck.
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