A package of dishes (mass 55.0 kg) sits on the flatbed of a pickup truck with an

Question

A package of dishes (mass 55.0 kg) sits on the flatbed of a pickup truck with an open tailgate. The coefficient of static friction between the package and the truck's flatbed is 0.340, and the coefficient of kinetic friction is 0.190.

a.) The truck accelerates forward on level ground. What is the maximum acceleration the truck can have so that the package does not slide relative to the truck bed?

b.) The truck barely exceeds this acceleration and then moves with constant acceleration, with the package sliding along its bed. What is the acceleration of the package relative to the ground?

Explanation / Answer

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A package of dishes (mass 60.0 kg) sits on the flatbed of a pickuptruck with an open tailgate. The coefficient of static frictionbetween the package and the truck's flatbed is 0.350, and thecoefficient of kinetic friction is 0.210.

(a) The truck accelerates forward on levelground. What is the maximum acceleration the truck can have so thatthe package does not slide relative to the truck bed?
m/s2

(b) The truck barely exceeds this acceleration and then moves withconstant acceleration, with the package sliding along its bed. Whatis the acceleration of the package relative to the ground?
m/s2

(c) The driver cleans up the fragments of dishes and starts overagain with an identical package at rest in the truck. The truckaccelerates up a hill inclined at 9.0

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