A man weighs $600 N$ on the Earth. If he was taken to the Moon, his weight would be $100 N$ . What is the acceleration due to gravity on the Moon? (Take $g = 10 m s^{- 2}$ )

$1.66 m s^{- 2}$

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$2.66 m s^{- 2}$

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$0.66 m s^{- 2}$

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$1 m s^{- 2}$

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Solution

The correct option is A
$1.66 m s^{- 2}$

Weight of man on Earth, $W = 600 N$
Acceleration due to gravity on Earth, $g = 10 m s^{- 2}$
Mass of man on Earth, $m = \frac{600}{10}$
$m = 60 k g$
We know that, mass remains constant everywhere.
Therefore, mass of man on moon, $m = 60 k g$
Weight of man on moon, $w = 100 N$
Acceleration due to gravity on moon is,
$g = \frac{w}{m}$
$g = \frac{100}{60}$
$g = 1.66 m s^{- 2}$

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A man weighs 600 N on the Earth. If he was taken to the Moon, his weight would be 100 N. What is the acceleration due to gravity on the Moon? (Take g=10 ms−2)

A man weighs $600 N$ on the Earth. If he was taken to the Moon, his weight would be $100 N$ . What is the acceleration due to gravity on the Moon? (Take $g = 10 m s^{- 2}$ )