Gravitational Potential Energy Calculation
What is the gravitational potential energy?
Gravitational potential energy can be defined as the potential energy of a massive object due to the gravity of the planet. The potential energy is associated with the gravitational field and is released when the objects fall toward each other. The gravitational field is approximately constant close to the surface of the earth.
Answer:
The gravitational potential energy gained by the person is equal to 17404.8 J.
Gravitational potential energy can be calculated using the formula: U = mgh
Where:
- U = gravitational energy
- m = mass
- g = gravitational acceleration
- h = height
For this specific problem:
- Mass (m) = 74 kg
- Gravitational acceleration (g) = 9.8 m/s²
- Height (h) = 24 m
Using the formula: U = mgh
Plugging in the values:
U = (74 kg) * (9.8 m/s²) * (24 m)
U = 17404.8 J
Therefore, the gravitational potential energy gained by the person is 17404.8 Joules.