A 50kg man travels to the moon. When he climbs 5m up a ladder into his lunar base, he gains 400J of GPE. What is the gravity on the moon?

Given: Mass m = 50 Kg; Height h = 5 m

G. P. E = 400 J Derive unit of Joule is equal to J = Kg. m²/s²

Required: gravity g = ?

Formula: G. P. E = mgh

g = G. P. E/mh

g = 400 Kg. m²/s² / (50 Kg) (5 m)

g = 400 Kg. m²/s²/250 Kg. m Cancel the unit Kg and m

g = 1.6 m/s²