You are a fitness trainer developing an exercise that involves pulling a heavy c
ID: 1655356 • Letter: Y
Question
You are a fitness trainer developing an exercise that involves pulling a heavy crate across a rough surface You attach a rope to a crate of mass M = 45.0 kg and place it on a carpeted track. Using your physics expertise, you have already determined that the coefficient of kinetic friction between the crate carpet is mu_k = 0.430. To test the apparatus, you have one of your employees pull on the rope as hard as she can. If she pulls with a force of F = 325 N along the direction of the rope, while the rope makes an angle of theta = 25.0 degree with the floor, what is the acceleration of the box? Use g = 9.80 m/s^2.Explanation / Answer
We know a = Fnet/m
= ( F cos theta - uN) /m where N = mg - F cos theta
= (325 cos 25 degree - 0.43*(45*9.8 - 325 sin 25 degree)/45
= 3.644 m/s
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