Since the new sign is placed on a billboard 20 m high and it has a mass of 8 kg, its potential energy is equal to 1568 Joules.
In Mathematics and Physics, the gravitational potential energy (GPE) of any physical object can be calculated by using this formula:
GPE = mgh
Where:
- GPE represents gravitational potential energy.
- m represents the mass.
- h represents the height.
- g represents acceleration due to gravity.
Note: The acceleration due to gravity on Earth is equal to 9.8
.
By substituting the given parameters into the formula, we have;
Gravitational potential energy (GPE) = 8 × 9.8 × 20
Gravitational potential energy (GPE) = 270,950.4 Joules.
Gravitational potential energy (GPE) = 1568 Joules.
Complete Question:
Willy places a new sign on a billboard 20 m high. The sign has a mass of 8 kg. What is the potential energy of this sign?