Enter the total momentum (kg-m/s) and the mass (kg) into the calculator to determine the Kinetic Energy From Momentum.

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## Kinetic Energy From Momentum Formula

The following equation is used to calculate the Kinetic Energy From Momentum.

KE = p^2 / (2*m)

Variables:

- Where KE is the Kinetic Energy From Momentum (Joules)
- p is the total momentum (kg-m/s)
- m is the mass (kg)

To calculate the kinetic energy from momentum, square the momentum, then divide by 2 times the mass.

## How to Calculate Kinetic Energy From Momentum?

The following two example problems outline the steps and information needed in order to calculate the Kinetic Energy From Momentum.

**Example Problem #1:**

- First, determine the total momentum (kg-m/s). In this example, the total momentum (kg-m/s) is measured to be 5.
- Next, determine the mass (kg). For this problem, the mass (kg) is calculated to be 3.
- Finally, calculate the Kinetic Energy From Momentum using the formula above:

KE = p^2 / (2*m)

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

KE = 5^2 / (2*3) = 4.166 (Joules)

**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 momentum (kg-m/s) = 9

mass (kg) = 5

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

KE = 9^2 / (2*5) = 8.1 (Joules)