Question

A man weighs 600 N on the earth. (Take g = 10 m/s2


(a) What is his mass on the earth?

(b)If the man taken to the moon, what would be his weight?

(c) What is the acceleration due gravity on the moon?​

Answer 1

Answer:

60 kg

300N on moon

1/2 then earth

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Answer 2

Given :

• Weight of a man on earth = 600 N
• Acceleration due to gravity on earth = 10 m/s²

To Find :

• Mass and weight of the man on moon
• Acceleration due to gravity on moon

Solution :

Weight is product of mass and acceleration due to gravity.

Now , Mass of man on earth is ;

$\\ : \implies \sf \: m_{(earth)} \times g_{(earth)}= w_{(earth)}$

$\\ : \implies \sf \: m_{(earth)} \times 10 = 600$

$\\ : \implies\sf \: m_{(earth)} = \dfrac{600}{10}$

$\\ : \implies{\underline{\boxed{\pink{\mathfrak{m_{(earth)} = 60 \: kg}}}}} \: \bigstar$

Mass of the body on any planet is constant . so , Mass of the person on moon will also be equal to 60 kg.

Since ,

$\\ \star \: {\boxed{\purple{\sf{g_{(moon)} = \dfrac{g_{(earth)}}{6}}}}}$

$\\ : \implies \sf \: g_{(moon)} = \frac{10}{6}$

$\\ : \implies {\underline{\boxed{\pink{{\mathfrak{g_{(moon)} =1.6 \: m {s}^{ - 2} }}}}}} \: \bigstar$

Now ,

$\\ : \implies \sf \: m_{(moon)} \times g_{(moon)}= w_{(moon)}$

$\\ : \implies \sf \:60\times 1.6 = w_{(moon)}$

$\\ : \implies{\underline{\boxed{\pink{\mathfrak{w_{(moon)} = 96 \: N}}}}} \: \bigstar$

Hence ,

• The mass and weight of the man on moon are 60 kg and 96 N.
• Acceleration due to gravity on moon is 1.6 m/s²