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Mechanical Energy Calculator

Kinetic + potential energy of a moving mass.

Introduction

Mechanical Energy Calculator — Kinetic + potential energy of a moving mass. Enter Mass (kg), Velocity (m/s), Height (m), Gravity (m/s²) to get an instant, accurate result.

Formula

Mechanical energy is the sum of kinetic and potential energy: E = KE + PE, where kinetic energy KE = ½mv² and gravitational potential energy PE = mgh.

Step-by-step

  1. Enter the Mass (kg).
  2. Enter the Velocity (m/s).
  3. Enter the Height (m).
  4. Enter the Gravity (m/s²).
  5. Click Calculate to see your result instantly.

Real-world example

Example: With Mass (kg) = 10, Velocity (m/s) = 5, Height (m) = 3, Gravity (m/s²) = 9.81, the Mechanical Energy Calculator gives Kinetic Energy J: 125, Potential Energy J: 294.3, Mechanical Energy J: 419.3.

Frequently Asked Questions

What is mechanical energy?
Mechanical energy is the total of an object's kinetic energy (energy of motion) and potential energy (stored energy due to position), expressed as E = ½mv² + mgh.
Why is mechanical energy important?
In an isolated system with no friction or air resistance, the law of conservation of energy states that total mechanical energy remains constant, even as it converts between kinetic and potential forms.
What units are used in this calculator?
Enter mass in kilograms (kg), velocity in meters per second (m/s), and height in meters (m) to get energy in joules (J), using standard gravity of 9.81 m/s².
What inputs does the Mechanical Energy Calculator need?
You'll need to provide: Mass (kg), Velocity (m/s), Height (m), Gravity (m/s²). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Mechanical Energy Calculator?
The Mechanical Energy Calculator applies the formula exactly as calculated — Mechanical energy is the sum of kinetic and potential energy: E = KE + PE, where kinetic energy KE = ½mv² and gravitational potential energy PE = mgh. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Mechanical Energy Calculator free to use?
Yes, the Mechanical Energy Calculator is completely free, requires no signup, and runs instantly in your browser.

About the Mechanical Energy Calculator

The Mechanical Energy Calculator uses a real, verifiable formula — Mechanical energy is the sum of kinetic and potential energy: E = KE + PE, where kinetic energy KE = ½mv² and gravitational potential energy PE = mgh. — so results are accurate every time, not an approximation.