Question #6db4b

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Question #6db4b

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Answer 1 · 2016-02-24T18:18:18

Weight of a man on moon surface will be $\frac{W}{5}$ $W/5$ ,
where $W$ $W$ is his weight on Earth.

Explanation:

The weight of a body on any planet is the gravitational force between a planet and a body calculated by the formula
$W = γ \cdot \frac{M_{b} \cdot M_{p}}{R^{2}}$ $W=gamma*(M_b*M_p)/R^2$
where
$γ$ $gamma$ is a gravitational constant,
$M_{b}$ $M_b$ is a mass of a body,
$M_{p}$ $M_p$ is a mass of a planet,
$R$ $R$ is the distance between the center of a planet and a center of a body (which for all intents and purposes should be taken as the radius of a planet)

If we decrease $M_{p}$ $M_p$ by a factor of $80$ $80$ and decrease $R$ $R$ by a factor of $4$ $4$ , the gravitational force will change by a factor of $\frac{4^{2}}{80} = \frac{1}{5}$ $4^2/80=1/5$ .

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Question #6db4b

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