You are attempting to push a 19.9 kg box of your most prized possessions up a 30

Question

You are attempting to push a 19.9 kg box of your most prized possessions up a 30.0 degree (relative to the horizontal) rough ramp (which ends inside the back of a moving van). You apply a horizontal force of 146 N to the box. If the box does not move up the incline with this particular applied force, then what is the magnitude of the force (in Newtons) of static friction that acts on the box? (Assume g = 10.0 m/s2.)

In order to get the 19.9 box accelerating from rest, you apply a force 25% larger than you did in part a): i.e. a force of 1.25* 146 N. The force is still applied horizontally to the box however. If the coefficient of kinetic friction between the box and the ramp is 0.150, what is the magnitude of the acceleration (in m/s2

Explanation / Answer

Case1)

Fsin(30)=72N

Frictional force =

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