Question

How much potential energy due to gravity would a person have if they were standing on top of a building that is 90.5 m high? Assume that they have a mass of 89.7 kg

Answer 1

Here the hieght of the person from the earth surface is very much less or not comparable with the radius of earth,

So we can use the equation of gravitational potential energy,

Here, is the mass of the person in kg

is the acceleration due to gravity on earth suface

is the hieght of the person from earth surface

Here given that,

mass of person,

So,gravitaional potential energy,