Enter the mass (kg), the initial height (m), and the final height (m) into the calculator to determine the Increase in Potential Energy.

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## Increase in Potential Energy Formula

The following equation is used to calculate the Increase in Potential Energy.

dPE = m*g*(H2-H1)

- Where dPE is the Increase in Potential Energy (J)
- m is the mass (kg)
- H1 is the initial height (m)
- H2 is the final height (m)
- g is the acceleration due to gravity (9.81 m/s^2)

To calculate the increase in potential energy, multiply the mass by the acceleration due to gravity, then multiply by the change in height.

## How to Calculate an Increase in Potential Energy?

The following example problems outline the steps and information needed to calculate the Increase in Potential Energy.

**Example Problem #1**

- First, determine the mass (kg). In this example, the mass (kg) is determined to be 4 .
- Next, determine the initial height (m). For this problem, the initial height (m) is measured to be 10 .
- Next, determine the final height (m). In this case, the final height (m) is found to be 20.
- Finally, calculate the Increase in Potential Energy using the formula above:

dPE = m*g*(H2-H1)

Inserting the values from above and solving the equation yields:

dPE = 4*9.81*(20-10) = 392.4 (J)

**Example Problem #2**

Using the same method as above, first, we need to measure or determine the variables required by the equation. For this example problem, these are provided as follows:

mass (kg) = 5

initial height (m) = 20

final height (m) = 30

Enter these given values into the calculator or above yields:

dPE = 5*9.81*(30-20) = 490.5** **(J)