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A 3500N piano is lifted by three workers at constant speed to an apartment 20m a

ID: 1608732 • Letter: A

Question

A 3500N piano is lifted by three workers at constant speed to an apartment 20m above the street using a pulley system fastened to the roof of a building.Each worker is able to deliver 160W of power.Find the time required to lift the piano from the street to the apartment. A 3500N piano is lifted by three workers at constant speed to an apartment 20m above the street using a pulley system fastened to the roof of a building.Each worker is able to deliver 160W of power.Find the time required to lift the piano from the street to the apartment.

Explanation / Answer

Power delivered by each worker 160W

Total power delivered 3*160 = 480W

Weight of the piano W=3500N

Let the velocity with which the piono is being lifted be 'v'

Then the power required = W.v

w.v = 480

v = 480/3500

v = 0.13714 m/s

Height of the building h = 20m

Time required t= h/v

t = 145.33 seconds

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