**Gravitational potential energy** or gravitational energy (PE_{G}) is the product of **mass **(m), **gravitational acceleration** (g) and the **distance **(Δh). Using the formula of gravitational potential energy: **PE**_{G}** = m g Δh**, the value of gravitational potential energy of an object can be calculated.

Let’s solve some problems based on this formula, so you’ll get a clear idea.

## Gravitational Potential Energy Practice Problems

**Problem 1:** Calculate the gravitational potential energy of a 10 kg box which is lifted to a height of 5 m above the ground. (Take the value of gravitational acceleration, g = 9.81 m/s^{2})

Solution:

Given data:

Gravitational potential energy of a box, PE_{G} = ?

Mass of a box, m = 10 kg

Distance above the surface of ground, Δh = 5 m

Gravitational acceleration, g = 9.81 m/s^{2}

Using the formula of gravitational potential energy,

PE_{G} = m g Δh

PE_{G} = 10 × 9.81 × 5

PE_{G} = 490.5 J

Therefore, the gravitational potential energy of a box is **490.5 J**.

**Problem 2:** A 5 kg trolley is lifted to a height of 15 m above the ground. Calculate the gravitational potential energy of a trolley. (Take the value of gravitational acceleration, g = 9.81 m/s^{2})

Solution:

Given data:

Mass of a trolley, m = 5 kg

Distance above the surface of ground, Δh = 15 m

Gravitational potential energy of a trolley, PE_{G} = ?

Gravitational acceleration, g = 9.81 m/s^{2}

Using the formula of gravitational potential energy,

PE_{G} = m g Δh

PE_{G} = 5 × 9.81 × 15

PE_{G} = 735.75 J

Therefore, the gravitational potential energy of a trolley is **735.75 J**.

**Problem 3:** What is the gravitational potential energy of a 24 kg wooden block which is lifted to a height of 20 m above the floor. (Take the value of gravitational acceleration, g = 9.81 m/s^{2})

Solution:

Given data:

Gravitational potential energy of a wooden block, PE_{G} = ?

Mass of a wooden block, m = 24 kg

Distance above the surface of ground, Δh = 20 m

Gravitational acceleration, g = 9.81 m/s^{2}

Using the formula of gravitational potential energy,

PE_{G} = m g Δh

PE_{G} = 24 × 9.81 × 20

PE_{G} = 4708.8 J

Therefore, the gravitational potential energy of a wooden block is **4708.8 J**.

**Problem 4:** A player throws a football in the upward direction to the height of 8 m above the ground. Calculate the gravitational potential energy of a football, if the mass of a football is 450 gm. (Take the value of gravitational acceleration, g = 9.81 m/s^{2})

Solution:

Given data:

Distance above the surface of ground, Δh = 8 m

Gravitational potential energy of a football, PE_{G} = ?

Mass of a football, m = 450 gm = 0.45 kg

Gravitational acceleration, g = 9.81 m/s^{2}

Using the formula of gravitational potential energy,

PE_{G} = m g Δh

PE_{G} = 0.45 × 9.81 × 8

PE_{G} = 35.31 J

Therefore, the gravitational potential energy of a football is **35.31 J**.

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**Related:**

- Thermal Energy Equation
- Potential Energy Formula
- Electric Potential Energy Formula
- Elastic Potential Energy Formula
- Kinetic Energy Formula
- Rotational Kinetic Energy Formula
- Electrical Energy Equation
- Mechanical Energy Formula
- Photon Energy Equation
- Conservation of Energy Formula

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