Forces act on a 29 kg mass as shown below. Assume the mass moves to the right a

Question

Forces act on a 29 kg mass as shown below. Assume the mass moves to the right a distance of 5.0 m. Show all work!

a) Calculate the work done by each force.

b) Calculate the net work done. You may not do this by finding the net force.

c) Assume the mass is moving at 4.0 m/s initially. Will it speed up, slow down, or travel with constant speed? A brief response including justification is sufficient. You may not calculate anything else to answer this question.

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Explanation / Answer

Given mass m = 29 kg

distance through right is 5 m

a) work done by a force is W = f * s * cos(theta)

due to 100 N is

W1 = 100 * 5 * cos(55)

W1 = 286.79 J

due to 60 N is

W2 = 60 * 5 * cos(180)

W2 = -300 J

b)

net work done is W = W1 + W2

W = -13.21 J

c) the mass will slow done because the work done is negative

implies the initial kinetic energy is more than final kinetic energy

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