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Question

A 60 HP electric motor lifts an elevator with a maximum total load capacity of 2000 kg. If the frictional force on the elevator is 4000 N, the speed of the elevator at full load is close to (Given 1 HP=746 W, g=10 m/s2)

A
1.5 m/s
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B
2.0 m/s
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C
1.7 m/s
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D
1.9 m/s
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Solution

The correct option is D 1.9 m/s
Friction will oppose the motion
Net force=2000×g+4000=24000 NPower of lift=60 HPPower = Force × Velocityv=PF=60×74624000v=1.861.9 m/s

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