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Weight and Mass

On the earth,...

Question

On the earth, a Sumo of 420 kg is checking his reading on a spring balance. To have the same reading of spring balance on the moon, how many Sumos of mass 420 kg each should stand on it. Explain. (g = 30 m s $^{- 2}$ )

A

6

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B

12

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C

18

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D

3

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Solution

The correct option is D 6
Acceleration due to gravity of moon $g_{m} = \frac{g_{e}}{6}$
where $g_{e}$ is the acceleration due to gravity on earth.
Mass of a Sumo $m = 420$ kg
Weight of Sumo on earth $W_{e} = m g_{e}$
Weight of Sumo on moon $W_{m} = m g_{m} = \frac{m g_{e}}{6}$
Thus number of Sumos $n = \frac{W_{e}}{W_{m}} = 6$

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