Question

Consider an object with weight on the Earth W_earth. The gravity of the Earth is g. If it is moved to another planet with gravity a, how much will be its weight? Note: you don't need to put a number for variables, M, W, a, g

Answer 1

Answer:

$W_{Planet} = \frac{W_{Earth}}{g}\times a$

Explanation:

We know that weight of an object on Earth is,

$W_{Earth} = m\times g$

Thus,

$m = \frac{W_{Earth}}{g}$

where,

m = mass of an object, which is constant and is independent of gravity

g = acceleration due to gravity on Earth

On the new planet, gravity = a

Thus the weight of the object on the new planet will be

$W_{Planet} = m\times a$

$W_{Planet} = \frac{W_{Earth}}{g}\times a$