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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?
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 $90\ kg$.
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