# 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?

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As given, the weight of any person on the moon is about 1 /6 times that on the earth.

So, $W_m=\frac{1}{6}W_e$        [$W_m$ and $W_e$ are weights on moon and earth respectively]

So, $g_m=\frac{1}{6}g_e$           [$g_m\rightarrow$gravity on moon and $g_e\rightarrow$ gravity earth]

Applied force to lift $15\ kg$ on earth $F=mg_e=15g_e$

Maximum mass to be lifted on the moon with same force $=\frac{F}{g_m}$

$=\frac{15g_e}{(\frac{g_e}{6})}$

$=90\ kg$

Therefore, the maximum mass, which can be lifted by the same force applied by the person on the moon is $90\ kg$.

Updated on 10-Oct-2022 13:28:52