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Question

Physics Question on work, energy and power

A 60 HP electric motor lifts an elevator having 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 : (1HP=746W,g=10ms21 \,HP = 746 \,W, \,g = 10\, ms^{-2} )

A

1.5ms11.5 \,ms^{- 1}

B

1.7ms11.7 \,ms^{- 1}

C

2.0ms12.0 \,ms^{- 1}

D

1.9ms11.9 \,ms^{- 1}

Answer

1.9ms11.9 \,ms^{- 1}

Explanation

Solution

4000?V+mg?V=P4000 ? V + mg ? V = P
60×7464000+20000=V\frac{60\times746}{4000+20000}=V
V=1.86m/s.1.9m/s.V=1.86\,m/s. \approx 1.9\,m/s.