Question

Suppose a ceiling fan has a mass of 7.5 kg and is 9.7 m above the ground. What is the gravitational potential energy of the ceiling fan?

Answer 1

The gravitational potential energy (G.P.E) of the ceiling fan is 712.95 Joules.

Given the following data:

• Mass of ceiling fan = 7.5 kg

• Height = 0.7 m

Scientific data:

• Acceleration due to gravity = 9.8 $m/s^2$

To calculate the gravitational potential energy (G.P.E) of the ceiling fan:

What is gravitational potential energy?

Gravitational potential energy (G.P.E) can be defined as the energy that is possessed by an object or body due to its position (height) above planet Earth.

Mathematically, gravitational potential energy (G.P.E) is given by this formula;

$GPE = mgh$

Where:

• G.P.E is the gravitational potential energy.

• m is the mass of an object.

• g is the acceleration due to gravity.

• h is the height of an object.

Substituting the given parameters into the formula, we have;

$GPE = 7.5 \times 9.8 \times 9.7$

GPE = 712.95 Joules.

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