Question

A 200kg box is being pulled up an incline that is angled 24 degrees to the...

A 200kg box is being pulled up an incline that is angled 24 degrees to the horizontal. The applied force used to get the box to travel up the incline is in a direction parallel to the incline. The coefficients of friction between the incline and the box are μs= 0.65 and μk= 0.40. Once the box starts moving up the incline, it accelerates at a constant 1.50 m/s^2.

a) Draw the free-body diagram that shows this situation

b) What minimum force must be applied to get the box to *just start to move* up the incline?

c) Once the box is moving, what is the magnitude of the friction force?

d) How much force must be applied to move it at the acceleration given?

e) If the box starts from rest and is pulled 3.75m up the incline, what is its velocity at that point?

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