Question

The acceleration due to gravity on the earth is gwhile thaton the moon is g1. A bodyhas weight w on earth its weight on the moon is

Answer 1

g1 = 1/6 * g

=> Weight of the object on moon = 1/6 * W

Answer 2

$\mathfrak{AnSwEr}$

Given:

Acceleration on earth = $\sf{g}$

Acceleration on moon = $\sf{g_{1}}$

Weight of the body on earth = $\sf{w}$

To find:

Weight of the body on moon

Solution:

We know :

W = mg

=》 On earth, W = mg

• m = $\sf{\frac{W_{e}}{g}}$

=》 On moon, W = $\sf{mg_{1}}$

• m = $\sf{\frac{W_{m}}{g_{1}}}$

m = m

=》 $\sf{\frac{W_{m}}{g_{1}} = \frac{W_{e}}{g}}$

=》 $\sf{W_{m} = \frac{W_{e} g_{1}}{g}}$

We also know that:

$\sf{g_{m} = \frac{1}{6} g_{e}}$

=》 $\sf{W_{m} = \frac{W_{e}}{6}}$

Thus, the body's weight on moon will be 1/6 times it's weight on earth.