If you moved to a planet that has the same mass as the earth but twice the diameter, how would your weight be affected?

High jump records would not last long on this planet.

F_e is your weight on earth.

2 * (r_e) is the radius of the planet you move to

r_e us the radius of the earth.

F_n is your weight on the new planet.

F_n / F_e = (2*r_e) ^2 / (r_e) ^2

F_n = 4 * F_e

See if you can figure out all the cancellations if you start with F_e = G * test_mass * M_earth / (r_e^2)