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Question

A man weighing 60kg lifts a body of 15kg to the top of a building 10m high in 3minutes. His efficiency is


A

10%

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B

20%

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C

30%

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D

40%

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Solution

The correct option is B

20%


Step 1: Given data and assumption

The mass of the man=60kg

The mass of the other body=15kg

Therefore, the mass of the man with the cylinder, m=60kg+15kg=75kg.

Height of the building, h=10m

Let the acceleration due to gravity be g

Step 2: Calculating the efficiency of the man

We know, Energy=mgh

The energy required to lift the body of 15kg is 15gh

The energy required to lift the mass of the man and the cylinder of 75kg is 75gh.

The efficiency of the man is calculated as,

15gh75gh×100=20%

The efficiency of the man is 20%.

Hence, option (b) is correct.


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