A man weighs 600n on earth what is his mass

Asked by admin @ 02/08/2021 in Physics viewed by 327 People

A man weighs 600 N on earth. What's his mass? If he were taken to moon his weight would be 100 N. what is his mass on the moon? What is the acceleration due to Gravity on the moon?

Answered by admin @ 02/08/2021

Solution :

• Calculation of mass of the man on the moon :

$\bigstar \: \sf \: W =m \times g$

Here,

• Weight of the man of earth, W = 600 N

• Mass of man on earth, m = ?

• Acceleration due to gravity = 10 m/s²

Putting above values, we get :

→ 600 = m × 10

→ 10m = 600

→ m = $\sf\dfrac{600}{10}$

→ m = 60 kg

Thus, the mass of man on the earth is 60 kg. Now, the mass of a body remains same everywhere.

$\therefore$ Mass of the man on the moon is 60 kg.

• Calculation of acceleration due to gravity on the moon :

$\bigstar \: \sf \: W =m \times g$

Here,

• Weight of the man on the moon, W = 100 N

• Mass of the man on the moon, m = 60 kg

• Acceleration due to gravity, g = ?

Putting above values, we get :

→ 100 = 60 × g

→ 60 g = 100

→ g = $\sf\dfrac{100}{60}$

→ g = 1.66 m/s²

$\therefore$ The acceleration due to gravity on the surface of the moon is 1.66 m/s².

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