Energy

Work Calculator (W = F·d·cos θ)

Calculate mechanical work from force, distance and angle (W = Fd cos θ). Results in joules with clear examples of what counts as work in physics.

W = F × d × cos(θ)
Work done
1,000J

How it works

In physics, work has a precise meaning: force applied along a distance. Push a box 5 m with 200 N and you've done 1,000 J of work — energy transferred from you into motion and friction heat.

Only the force component along the motion counts. Pull a sled with a rope angled 30° upward and cos 30° ≈ 0.87 of your effort moves the sled; the rest slightly lifts it. Carry a heavy bag horizontally at constant height and — by the physics definition — you do zero work on the bag, even though your muscles disagree.

Work and energy are the same currency (joules). Every machine, muscle and motor is ultimately a device for doing work, and its energy bill can be computed with this one formula.

Use it in real life

Moving day: pushing furniture across a room is work against friction. Reducing the friction (sliders, wheels) directly cuts the joules — and your effort — for the same move.

Ramps: a ramp trades force for distance. Lifting 100 kg straight up 1 m takes 981 J with huge force; rolling it up a 5 m ramp takes the same 981 J (plus friction) at one-fifth the force.

Machines: a winch rated to apply 2 kN over 10 m does 20 kJ of work — comparing that with the motor's electrical consumption gives you its true efficiency.

Frequently asked questions

Why is holding a heavy object 'zero work' in physics?

Work requires displacement in the direction of the force. No movement, no work — the object gains no energy. Your muscles burn calories keeping tension, but that energy becomes heat in you, not energy in the object.

What's the difference between work and power?

Work is the total energy transferred (joules); power is the rate you transfer it (watts = joules/second). Climbing stairs slowly or sprinting up does identical work — sprinting needs more power.

Can work be negative?

Yes — when force opposes motion. Friction always does negative work on a sliding object, draining kinetic energy into heat. Catching a ball, your hands do negative work on it.