Question

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?

Answer 1

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