Question

A man weighs 500 N on earth . What is his mass? If he were taken to the moon his weight would be 90N.What is the acceleration due to gravity?

Answer 1

Force = Mg

Therefore...

m = F/g

m = 500/10

m = 50 Kg....

(2)Again .....F = Mg(moon)

Since mass always remains constant....m = 50 Kg

Therefore....90 = 50g( moon)

g(moon) = 90/50

g = 1.8 m/s^2

Answer 2

Given:

• Weight on earth = 500 N
• Weight on moon = 90 N

To find:

• Mass ?
• Acceleration of gravity on moon ?

Calculation:

Mass can be calculated as the weight divided by the gravitational acceleration of earth.

$weight = mass \times g$

$\implies \: mass = \dfrac{weight}{g}$

$\implies \: mass = \dfrac{500}{10}$

$\implies \: mass = 50 \: kg$

Now, Gravitational acceleration on moon is :

$g_{moon} = \dfrac{weight \: on \: moon}{mass}$

$\implies g_{moon} = \dfrac{90}{50}$

$\implies g_{moon} = 1.8 \: m {s}^{ - 2}$

So, acceleration on moon is 1.8 m/s².