The Conservation of Energy Calculator helps you determine the relationships between kinetic energy, potential energy, and mechanical energy in a system.
This calculator provides both a basic and an advanced mode, allowing you to calculate these energy values using the appropriate formulas
How to Use the Calculator
-
Basic Calculator:
- Kinetic Energy: Enter the known values for Potential Energy and Mechanical Energy to calculate the missing kinetic energy.
- Potential Energy: Input values for Kinetic Energy and Mechanical Energy to find potential energy.
- Mechanical Energy: Enter values for Kinetic Energy and Potential Energy to calculate the total mechanical energy.
-
Advanced Calculator:
- Enter the Mass, Velocity, and Height of an object to calculate Kinetic Energy, Potential Energy, and Mechanical Energy.
Input Field |
Description |
Kinetic Energy |
Enter the known kinetic energy in joules (J) or leave blank to calculate. |
Potential Energy |
Enter the known potential energy in joules (J) or leave blank to calculate. |
Mechanical Energy |
Enter the total mechanical energy in joules (J) or leave blank to calculate. |
Mass |
Enter the mass in kilograms (kg) for advanced calculations. |
Velocity |
Enter the velocity in meters per second (m/s) for advanced calculations. |
Height |
Enter the height in meters (m) for advanced calculations. |
How To Calculate
Example 1: Basic Calculation
Input |
Value |
Kinetic Energy |
50 J |
Potential Energy |
30 J |
Mechanical Energy |
Calculated as 80 J |
In this example, the Mechanical Energy is calculated by adding Kinetic Energy (50 J) and Potential Energy (30 J). Thus, the total Mechanical Energy is 80 J.
Example 2: Advanced Calculation
Input |
Value |
Mass |
5 kg |
Velocity |
10 m/s |
Height |
3 m |
Kinetic Energy |
Calculated as 250 J |
Potential Energy |
Calculated as 147.15 J |
Mechanical Energy |
Calculated as 397.15 J |
In the advanced calculation, Kinetic Energy is found using 21×mass×velocity2, resulting in 250 J.
Potential Energy is calculated as mass×9.81×height, resulting in 147.15 J.
Mechanical Energy is the sum of Kinetic Energy and Potential Energy, totaling 397.15 J.