Question

if weight is the force of gravity on an object, then your weight can change if the force of gravity is different on a different planet?

Answer 1

Yes, your weight can change if the force of gravity is different on a different planet.

Like on the Moon because acceleration due to gravity is 1/6 that on the Earth, your weight on the Moon would be 1/6 the value on the Earth.

But note that you mass remains the same.

Answer 2

Yes, (but you may write this incorrectly) weight is defined as the mass of an object times the gravitational acceleration.

as: W = M*g

where, for example, in Earth g = 9.8m/s^2

This means that if you go to a place with a smaller gravitational acceleration (for example the moon) your weight will be smaller (because the gravitational acceleration in the moon is smaller than in the Earth)