Question

A man weight 600 Newton on earth what is his mass if he were taken to moon his weight would be 100 Newton what is his mass on moon what is the acceleration due to gravity on Moon

Answer 1

Answer:-

Given:-

Weight on earth(W) = 600N.

Weight on moon (W') = 100N.

Explanation:-

Let the mass of man be 'm' .

and acceleration due to gravity on moon be g'.

Now, on Earth.

W = 600N.

600 = m × g.

$m = \frac{600}{g} \: \: \: \: - - - (1)$

Now,On Moon

W' = 100N.

100 = m × g'

$g' = \frac{100}{m}$

Now,substituting the value of m in g'.

$g' = \frac{100 \times g}{600}$

$g' = \frac{1}{6} \times g$

$g' = \frac{g}{6}$

$\boxed{\boxed{g' = \frac{g}{6}}}$

So, the acceleration due to gravity on moon is 1/6 times that of on earth.

Note:-

Mass is universally constant where as weight differs from place to place.

Answer 2

Explanation:

Mass will be same at any place.

Weight on Earth – 600 N

Acceleration due to gravity on Earth –9.8 m/s²

mass = 600/9.8

= 61.2 Kg

Weight on moon –100 N

Mass –61.2 Kg

Acceleration due to gravity on moon = 100/61.2

= 1.6 m/s²