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Question

On the moon, the acceleration due to the effect of gravity is only about $1 / 6$ of that on Earth. An astronaut whose weight on Earth is $600 \mathrm{~N}$ travels to the lunar surface. His mass, as measured on the moon, will be $(a) 600 \mathrm{~kg}$, (b) $100 \mathrm{~kg}$, $(c) 61.2 \mathrm{~kg}$, $(d) 9.81 \mathrm{~kg}$, (e) $360 \mathrm{~kg}$.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4In this question, we have to find the astronaut's mass on the moon where we have:

$\begin{aligned} w&=F_{g}\\ &= 600 \mathrm{~N}\\ g_{e}&=9.81\mathrm{~\dfrac{m}{s^{2}}}\\ g_{m}&=\dfrac{1}{6}\cdot g_{e}\\ &=1.635\mathrm{~\dfrac{m}{s^{2}}}\\ \end{aligned}$

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