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Physics

Work done and the change in energy

Net work equals the change in kinetic energy. It is the bridge between a force acting over a distance and the energy an object ends up carrying.

The Formula

W = F d = Delta KE

Net work equals the change in kinetic energy. It is the bridge between a force acting over a distance and the energy an object ends up carrying.

SymbolMeaning
WWork done on the object
FForce applied
dDistance over which the force acts

What Each Symbol Means

Wjoules

Work done on the object

One joule of net work changes kinetic energy by one joule.

Fnewtons

Force applied

Taken along the direction of motion.

dmetres

Distance over which the force acts

This is why doubling the energy roughly doubles the braking distance.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate kinetic energy page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Kinetic Energy, filed under Science. Every number the guide produces comes from substituting into this one line.