Enter the gain in velocity (m/s) and the gain in mass (kg) into the calculator to determine the Kinetic Energy Gain .

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## Kinetic Energy Gain Formula

The following equation is used to calculate the Kinetic Energy Gain .

**KEg = .5 * dV^2 * dm**

Variables:

- Where Keg is the Kinetic Energy Gain (Joules, J)
- dV is the gain in velocity (m/s)
- dM is the gain in mass (kg)

## How to Calculate Kinetic Energy Gain?

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

**Example Problem #1:**

- First, determine the gain in velocity (m/s). In this example, the gain in velocity (m/s) is measured to be 4.
- Next, determine the gain in mass (kg). For this problem, the gain in mass (kg) is calculated to be 8.
- Finally, calculate the Kinetic Energy Gain using the formula above:

KEg = .5 * dV^2 * dm

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

KEg = .5 * 4^2 * 8 = 64 (Joules, J)

**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:

gain in velocity (m/s) = 9

gain in mass (kg) = 3

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

KEg = .5 * 9^2 * 3 = 121.5 (Joules, J)