Question

An athlete had lifts a load with a mass of 150kg.

1) calculate the gravitational potential energy gained

2) if the mass of the load is increased to 200kg, calculate the gravitational potential energy gained by the load.

3) based on answers in 1&2, state the relationship between the mass of the load and the gravitational potential energy.

Answer 1

• Mass=150kg=m
• Height=h=2m
• Acceleration due to gravity=g=10m/s^2

`\\ \sf\longmapsto P.E=mgh`

`\\ \sf\longmapsto P.E=150(2)(10)`

`\\ \sf\longmapsto P.E=3000J`

In 2nd case

• Mass =m=200kg
• Height=h=2m
• g=10m/s^2

`\\ \sf\longmapsto P.E=200(2)(10)`

`\\ \sf\longmapsto P.E=4000J`

We can observe that

• If mass of body increases gravitational potential energy will increase.