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 and the carpet is μk = 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 = 295 N along the direction of the rope, while the rope makes an angle of θ = 23.0° with the floor, what is the acceleration of the box? Use g = 9.80 m/s2.

Answer 1

normal force acts on the block

N = mg - F sin x

N = 45* 9.8 - 295* sin 23

N = 325.734 N

forces along horizontal

ma = F cos x - u N

45 a = 295 cos 23 - 0.43*325.734

a = 2.922 m/s^2

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