The weight of any person on the moon is about $\frac{1}{6}$ 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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Solution

$g_{e}$ = g and $g_{m}$ = $\frac{g}{6}$

Force applied to lift a mass of 15 kg at the earth, F = m $g_{e}$ = 15 $g_{e}$ N

Therefore, the mass lifted by the same force on the moon will be

m = $\frac{F}{g_{m}}$ = $\frac{15 g}{6 g}$ = 90 kg

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The weight of any person on the moon is about 16 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?

ge = g and gm = g6 Force applied to lift a mass of 15 kg at the earth, F = m ge​ = 15 ge​ N Therefore, the mass lifted by the same force on the moon will be m = Fgm = 15g6g = 90 kg

The weight of any person on the moon is about $\frac{1}{6}$ 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?

$g_{e}$ = g and $g_{m}$ = $\frac{g}{6}$

Force applied to lift a mass of 15 kg at the earth, F = m $g_{e}$ = 15 $g_{e}$ N

Therefore, the mass lifted by the same force on the moon will be

m = $\frac{F}{g_{m}}$ = $\frac{15 g}{6 g}$ = 90 kg