Gravitational Potential Energy Store

Contents

Key Stage 3

Meaning

The rock at the top of this stack has a large amount of energy in the gravitational potential energy store.

The gravitational potential energy store is the energy stored in an object that is in a gravitional field.

About The Gravitational Potential Energy Store

The stronger the gravitational field the more energy in the gravitational potential energy store.

The greater the mass of the object the more energy in the gravitational potential energy store.

The greater the height of the object the more energy in the gravitational potential energy store.

Equation

The equation for gravitational potential energy written in words.

The equation for gravitational potential energy written in symbols.

Key Stage 4

Meaning

The gravitational potential energy store is the energy stored in an object that is in a gravitional field.

About Gravitational Potential Energy

Gravitational Potential Energy is a potential energy due to the position of a mass in a gravitational field.

The gravitational potential energy store of an object is related to three important factors:

• The mass - The greater the mass of an object the greater the gravitational potential energy.
• The gravitational field strength - The greater the gravitational field strength the greater the gravitational potential energy.
• The height of the object - The greater the height of an object in a gravitational field the greater the gravitational potential energy.

Equation

NB: You must memorise this equation!

Gravitational Potential Energy = (Mass) x (gravitational field strength) x (change in height)

\(E_g = m g \Delta h\)

Where:

E_g = Gravitational Potential Energy stored.

m = The mass of the object.

g = The gravitational field strength.

Δh = The change in height of the object.

Calculating Gravitational Potential Energy

A weight lifter lifts a 50kg mass a distance of 2.0m from the ground. Calculate the increase in gravitational potential energy of the mass. g on Earth is 9.8N/kg	A pulley is used to lift a 12 tonne mass 0.80m above the ground. Calculate the change in energy in the gravitational potential store. g on Earth is 9.8N/kg Give your answer correct to two significant figures.	During a rock slide a 320kg boulder falls from a height of 1450m to a height of 730m above sea level. Calculate the change in gravitational potential energy. g on Earth is 9.8N/kg Give your answer correct to two significant figures.
1. State the known quantities m = 50kg g = 9.8N/kg Δh = 2.0m	1. State the known quantities m = 12tonne = 12,000kg g = 9.8N/kg Δh = 0.80m	1. State the known quantities m = 320kg g = 9.8 N/kg Δh = h2 - h1 = 1450 - 730 = 720m
2. Substitute the numbers into the equation and solve. \(E_g = m g \Delta h\) \(E_g = m \times g \times \Delta h\) \(E_g = 50 \times 9.8 \times 2\) \(E_g = 980J\)	2. Substitute the numbers into the equation and solve. \(E_g = m g \Delta h\) \(E_g = m \times g \times \Delta h\) \(E_g = 0.80 \times 9.8 \times 12000\) \(E_g = 94080J\) \(E_g \approx 94000J\)	2. Substitute the numbers into the equation and solve. \(E_g = m g \Delta h\) \(E_g = m \times g \times \Delta h\) \(E_g = 320 \times 9.8 \times 720\) \(E_g = 2257920J\) \(E_g \approx 2300000J\)