Enter the total potential energy (J) and the mass of the object (kg) into the calculator to determine the Velocity from Potential Energy.

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## Velocity from Potential Energy Formula

The following equation is used to calculate the Velocity from Potential Energy.

**V = SQRT (PE*2 / m)**

Variables:

- Where V is the Velocity from Potential Energy (m/s)
- PE is the total potential energy (J)
- m is the mass of the object (kg)

## How to Calculate Velocity from Potential Energy?

The following two example problems outline the steps and information needed in order to calculate the Velocity from Potential Energy.

**Example Problem #1:**

- First, determine the total potential energy (J). In this example, the total potential energy (J) is measured to be 50.
- Next, determine the mass of the object (kg). For this problem, the mass of the object (kg) is calculated to be 4.
- Finally, calculate the Velocity from Potential Energy using the formula above:

V = SQRT (PE*2 / m)

Inserting the values from above and solving the equation with the imputed values gives:

V = SQRT (50*2 / 4) = 5 (m/s)

**Example Problem #2: **

Using the same process as example problem 1, we first define the needed variables outlined by the formula. In this case, the values are provide as:

total potential energy (J) = 20

mass of the object (kg) = 3

Entering these values into the formula or calculator above gives us:

V = SQRT (30*2 / 3) = 4.472 (m/s`)