Velocity to Work Calculator

Work From Velocity Formula

The formula used to calculate the Work From Velocity is:

\[ W = \frac{1}{2} m \cdot \Delta V^2 \]

Where:

• \(W\) is the Work From Velocity (Joules)
• \(m\) is the mass (kg)
• \(\Delta V\) is the change in velocity (m/s)

How to Calculate Work From Velocity?

To calculate the Work From Velocity:

1. Multiply the mass by the square of the change in velocity.
2. Divide the result by 2.

Example Problems

Example 1:
Calculate the work done if a mass of 10 kg experiences a velocity change of 5 m/s.

\[ W = \frac{1}{2} \times 10 \, \text{kg} \times (5 \, \text{m/s})^2 = \frac{1}{2} \times 10 \times 25 = 125 \, \text{Joules} \]

Example 2:
Determine the work if a mass of 2 kg undergoes a velocity change of 3 m/s.

\[ W = \frac{1}{2} \times 2 \, \text{kg} \times (3 \, \text{m/s})^2 = \frac{1}{2} \times 2 \times 9 = 9 \, \text{Joules} \]