Physics HW Help?

Question

An astronaut in full space gear climbs a vertical ladder on the earth. The astronaut then makes the same climb on the moon. In which location does the gravatational potential energy of the astronaut change more? Why?

Answer 1

Change in potential energy is mgh. The mass of the astronaut + gear and the height climbed is the same in both locations; the only difference is g ( 9.8 m/s^2 on Earth, about a sixth that on the Moon). Therefore the larger change is on the Earth, by a factor of about six.