The weight of any person on the moon is about | vedclass

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(D) The weight of an object on the moon is $1/6$ of its weight on the earth because the acceleration due to gravity on the moon $(g_m)$ is $1/6$ of th

Vedclass · Accepted Answer

$90$

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(D) The weight of an object on the moon is $1/6$ of its weight on the earth because the acceleration due to gravity on the moon $(g_m)$ is $1/6$ of the acceleration due to gravity on the earth $(g_e)$.Since the force applied by the person remains the same,the relationship between mass $(m)$ and force $(F)$ is given by $F = m 	imes g$.On earth: $F = 15\, kg 	imes g_e$.On the moon: $F = m_{moon} 	imes g_m = m_{moon} 	imes (g_e / 6)$.Equating the forces: $15 	imes g_e = m_{moon} 	imes (g_e / 6)$.Solving for $m_{moon}$: $m_{moon} = 15 	imes 6 = 90\, kg$.Therefore,the person can lift a maximum mass of $90\, kg$ on the moon.

The weight of any person on the moon is about $1/6$ times that on the earth. He can lift a mass of $15\, kg$ on the earth. What will be the maximum mass,which can be lifted by the same force applied by the person on the moon (in $, kg$)?

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