A game room in a rotating space habitat is located in a .25-g region. If a person can jump .5 m high in a 1-g region, how high can the same person jump in the game room?

Question

A game room in a rotating space habitat is located in a .25-g region. If a person can jump .5 m high in a 1-g region, how high can the same person jump in the game room?
a. .5m b. 2m c. 4m d. 8m e. more than 8m and why?

bobpursley · Answer

If he can jump with some energy E,then E= mgh or h= E/mg, so it looks like to me h will change inversely with g, so if it is 1/4 of g, he will go 4 times higher.