Enter the mass (kg), the initial velocity (m/s), and the final velocity (m/s) into the calculator to determine the Total Work.

## Total Work Formula

The following formula is used to calculate the Total Work.

Wtotal = 1/2*m*(Vf^2-Vi^2)
• Where Wtotal is the Total Work (Joules)
• m is the mass (kg)
• Vi is the initial velocity (m/s)
• Vf is the final velocity (m/s)

To calculate the total work, multiply the mass by the difference of the final velocity squared and the initial velocity squared, then divide by 2.

## How to Calculate Total Work?

The following example problems outline how to calculate the Total Work.

Example Problem #1

1. First, determine the mass (kg). In this example, the mass (kg) is given as 10 .
2. Next, determine the initial velocity (m/s). For this problem, the initial velocity (m/s) is given as  30 .
3. Next, determine the final velocity (m/s). In this case, the final velocity (m/s) is found to be 40.
4. Finally, calculate the Total Work using the formula above:

Wtotal = 1/2*m*(Vf^2-Vi^2)

Inserting the values from above and solving yields:

Wtotal = 1/2*10*(40^2-30^2) = 3500 (Joules)

Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are provided as:

mass (kg) = 5

initial velocity (m/s) = 40

final velocity (m/s) = 60

Enter these given values yields:

Wtotal = 1/2*5*(60^2-40^2) = 5000 (Joules)