Enter the total kinetic energy (J) and the velocity (m/s) into the Mass From Kinetic Energy Calculator. The calculator will evaluate and display the Mass.
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Mass From Kinetic Energy Formula
The following formula is used to calculate the Mass From Kinetic Energy.
M = 2*KE / v^2
- Where M is the Mass From Kinetic Energy (kg)
- KE is the total kinetic energy (J)
- v is the velocity (m/s)
To calculate the mass from kinetic energy, divide the kinetic energy by the velocity squared, then multiply by 2.
| Kinetic Energy (J) | Mass (kg) |
|---|---|
| 1 | 0.02 |
| 5 | 0.10 |
| 10 | 0.20 |
| 20 | 0.40 |
| 25 | 0.50 |
| 50 | 1.00 |
| 75 | 1.50 |
| 100 | 2.00 |
| 150 | 3.00 |
| 200 | 4.00 |
| 250 | 5.00 |
| 500 | 10.00 |
| 750 | 15.00 |
| 1,000 | 20.00 |
| 1,500 | 30.00 |
| 2,000 | 40.00 |
| 2,500 | 50.00 |
| 3,000 | 60.00 |
| 5,000 | 100.00 |
| 10,000 | 200.00 |
| Based on KE = 0.5 × m × v². Here, m = 2 × KE / v² with v = 10 m/s, so m = 0.02 × KE. Change v to get different results. | |
How to Calculate Mass From Kinetic Energy?
The following example problems outline how to calculate Mass From Kinetic Energy.
Example Problem #1:
- First, determine the total kinetic energy (J).
- The total kinetic energy (J) is given as: 2500.
- Next, determine the velocity (m/s).
- The velocity (m/s) is provided as: 30.
- Finally, calculate the Mass From Kinetic Energy using the equation above:
M = 2*KE / v^2
The values given above are inserted into the equation below and the solution is calculated:
M = 2*2500 / 30^2 = 5.55 (kg)
Example Problem #2:
For this problem, the variables needed are provided below:
total kinetic energy (J) = 6000
velocity (m/s) = 70
This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer.
M = 2*KE / v^2 = ?
