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 kg
We know that, mass remains constant everywhere.
Therefore, mass of man on moon, m = 60 kg
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 $g = 10 m s^{- 2}$ )