Question

Assuming the acceleration due to gravity on the moon is exactly one-sixth of the acceleration due to gravity on Earth, what is the weight of the object on the moon?

Answer 1

I have assumed a weight of 120 N on Earth.

Answer:

The object weighs 20 N on the moon

Explanation:

Weight

The weight of an object depends on the mass m of the object and the acceleration of gravity g of the place they are in.

The formula to calculate the weight is:

W = m.g

If g_e is the acceleration of gravity on Earth, and g_m is the acceleration of gravity on the moon, we know:

$g_m=1/6 g_e$

Dividing by ge:

$g_m/g_e = 1/6$

An object of weight We=120 N on planet Earth has a mass of:

$m = 120 / g_e$

Multiplying by gm:

$m.g_m=120 g_m/g_e$

Substituting the ratio of accelerations of gravity:

$m.g_m=120 * 1/6$

Since m.gm is the weight on the Moon Wm:

$W_m=20~N$

The object weighs 20 N on the moon