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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?

Respuesta :

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