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A 272 kg piano slides 4.14 m down a 27.0° incline and is kept from accelerating

ID: 1883834 • Letter: A

Question

A 272 kg piano slides 4.14 m down a 27.0° incline and is kept from accelerating by a man who is pushing back on it parallel to the incline, as seen in figure below. The effective coefficient of kinetic friction is 0.370. a) Calculate the force exerted by the man. b) Calculate the work done by the man on the piano c) Calculate the work done by the force of gravity. d) Calculate the net work done on the piano

Work Along An Incline Puntos:5 A 272 kg piano slides 4.14 m down a 27.0 incline and is kept from accelerating by a man who is pushing back on it parallel to the incline, as seen in figure below. The effective coefficient of kinetic friction is 0.370 Calculate the force exerted by the man.

Explanation / Answer

A)

Force exerted by the person, F = mg sin(theta) = (272 x 9.8) sin(27) = 1210.16 N

B)

Work, W = - Fs = - (1210.16 x 4.14) = - 5010.05 J

C)

Work, Wg = - W = 5010.05 J

D)

Work, W = 0

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