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A man weighs 600 N on the earth. If acceleration due to gravity g on the earth be 10 m $s^{- 2}$ , what is his mass? On the moon, weight of the man is found to be 100 N. What is the value of g on the moon?

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30 kg and 0.32

{ms}^{- 2}

45 kg and 0.95

{ms}^{- 2}

60 kg and 1.67

{ms}^{- 2}

75 kg and 2.25

{ms}^{- 2}

answer is C.

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Detailed Solution

Given that, weight of man on earth,

W_{e}

= 600 N
Acceleration due to gravity on earth,

g_{e}

= 10 m

s^{- 2}

Now, we know that m =

\frac{W_{e}}{g_{e}}

⸫ m =

\frac{600}{10}

= 60 kg
So, the mass of a man on earth is 60 kg.
Again solving the solution for gravity on moon
Given that, weight of man on moon,

W_{m}

= 100 N
Mass of a man on moon = 60 kg (taking the same mass as on earth)
Now, we know that m =

\frac{W_{m}}{g_{m}}

⸫ 60 =

\frac{100}{g_{m}}

= 1.67 m

s^{- 2}

So, the value of g on the moon is 1.67 m

s^{- 2}

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