The weight of an astronaut and his space suit on Earth is 60 kgf and 30 kgf respectively. Their combined weight on Moon will be___ kgf. (Acceleration due to gravity on Moon is $\frac{1}{6}$ of acceleration due to gravity on Earth)

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Solution

Let combined weight of astronaut and his space suit on Earth and Moon be $W$ and $W_{e}$ .
Combined weight of astronaut and his space suit on Earth $W = 60 k g f + 30 k g f = 90 k g f$
Let acceleration due to gravity on Moon and Earth be $g_{e}$ and $g$ respectively.
Given, $g_{e} = \frac{1}{6} g$
Therefore $W_{e} = \frac{1}{6} W$
$\Rightarrow W_{e} = \frac{90}{6} k g f = 15 k g f$

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