Kinetic / Potential / Mechanical Energy Calculator
Compute kinetic energy KE = ½mv², gravitational potential energy PE = mgh and total mechanical energy ME = KE + PE.
Energy calculation modes
Kinetic energy
Result—J
Gravitational potential energy
m/s²
Result—J
Mechanical energy
Enter mass, velocity, height and gravity in the two cards above — the total ME = KE + PE updates here automatically.
Total (KE + PE)—J
In a frictionless system the total mechanical energy (KE + PE) is conserved: energy converts between kinetic and potential forms, but the sum stays constant.
Formulas
Kinetic energy: KE = ½ · m · v²
Potential energy: PE = m · g · h
Mechanical energy: ME = KE + PE
Three independent calculations. (1) Kinetic energy: enter mass and velocity, KE = ½mv². (2) Gravitational potential energy: enter mass, height and gravity g (default 9.81 m/s²), PE = mgh. (3) Mechanical energy: the total ME = KE + PE is summed automatically from the two results above. Use the unit dropdowns for kg/g, m/s/km/h and m/cm.