Keep the dog safe

Classical Mechanics Level 2

A dog with weight of \(98~\mbox{N}\) sits in the back of a pickup truck, which is initially at rest. After some time the truck accelerates to the right with an acceleration of \(2~\mbox{m/s}^2\). The dog does not begin to slide with respect to the truck bed as the truck accelerates. What is the force of friction on the dog in Newtons?

Details and assumptions

  • The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
  • The coefficient of static friction between the dog and the truck bed is \(0.8\).

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