A bucket of water needs to be lifted up through a distance of $10 m$ using a single movable pulley system by a boy. How much distance should the free end be pulled down, if the pulley system has an efficiency of $75 %$ ?

5 m

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20 m

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10 m

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15 m

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Solution

The correct option is B $20 m$
Given:
Displacement of load, $d_{L} = 10 m$
Efficiency, $η = 75 %$
Since, it is a single movable pulley system,
Velocity ratio, $VR = 2$
We know that,
$VR = \frac{d_{E}}{d_{L}} = \frac{d_{E}}{10} = 2$

Velocity ratio does not depend upon the efficiency of the system.

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A bucket of water needs to be lifted up through a distance of 10 m using a single movable pulley system by a boy. How much distance should the free end be pulled down, if the pulley system has an efficiency of 75%?

The correct option is B 20 mGiven: Displacement of load, dL=10 m Efficiency, η=75% Since, it is a single movable pulley system, Velocity ratio, VR=2 We know that, VR=dEdL=dE10=2 Velocity ratio does not depend upon the efficiency of the system.

A bucket of water needs to be lifted up through a distance of $10 m$ using a single movable pulley system by a boy. How much distance should the free end be pulled down, if the pulley system has an efficiency of $75 %$ ?

The correct option is B $20 m$
Given:
Displacement of load, $d_{L} = 10 m$
Efficiency, $η = 75 %$
Since, it is a single movable pulley system,
Velocity ratio, $VR = 2$
We know that,
$VR = \frac{d_{E}}{d_{L}} = \frac{d_{E}}{10} = 2$

Velocity ratio does not depend upon the efficiency of the system.