Question

The maximum height a typical person can jump is about 60cm (0.6m). By how much does the gravitational potential energy increase for a 72kg person in such a jump? Where does this energy come from? (What do I have to find here?)

Answer 1

The gravitational potential energy will increase by 423.36 J

How to determine the potential energy at ground level

• Mass (m) = 72 kg
• Acceleration due to gravity (g) = 9.8 m/s²
• Height (h) = 0 m
• Potential energy at ground level (PE₁) =?

PE = mgh

PE₁ = 72 × 9.8 × 0

PE₁ = 0 J

How to determine the potential energy at 60 cm (0.6 m)

• Mass (m) = 72 kg
• Acceleration due to gravity (g) = 9.8 m/s²
• Height (h) = 0.6 m
• Potential energy at 60 cm (0.6 m) (PE₂) =?

PE = mgh

PE₂ = 72 × 9.8 × 0.6

PE₂= 423.36 J

How to determine the change in potential energy

• Potential energy at ground level (PE₁) = 0 J
• Potential energy at 60 cm (0.6 m) (PE₂) = 423.36 J
• Change in potential energy =?

Change in potential energy = PE₂ - PE₁

Change in potential energy = 423.36 - 0

Change in potential energy = 423.36 J

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