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📘 About the Work Done
In physics, work is done when a force moves something. The amount of work is the force times the displacement in the direction of the force: W = Fd cos θ. This work done calculator gives the answer in joules.
Only the part of the force along the motion does work. Carrying a bag horizontally at steady speed does no work on the bag (θ = 90°), and friction does negative work (θ = 180°).
🧮 Formula
1 joule is the work done when a 1 N force moves its point of application 1 m in the direction of the force.
✏️ Worked examples
Pushing a box 10 m
You get| Work done (J) | 500 |
| Work done (kJ) | 0.5 |
| cos θ | 1 |
Pushing with 50 N along the floor for 10 m does 500 J of work.
Try this example →Pulling a suitcase at 60°
You get| Work done (J) | 250 |
| Work done (kJ) | 0.25 |
| cos θ | 0.5 |
Pulling at 60° to the ground does only 250 J of useful work.
Try this example →🧭 How to use this calculator
What you enter
- Force (F) (N)
- Displacement (d) (m)
- Angle between force and motion (θ) (degrees)0° = force along the motion; 90° = at right angles.
What you get
- Work done (J)
- Work done (kJ)
- cos θ
💡 Positive, zero and negative work
- θ between 0° and 90°: positive work (the force speeds the object up).
- θ = 90°: zero work (e.g. the Moon's orbit, carrying a bag level).
- θ between 90° and 180°: negative work (e.g. friction, brakes).
❓ Frequently asked questions
What is the formula for work done?
W = F × d × cos θ, where θ is the angle between the force and the displacement.
What is the SI unit of work?
The joule (J), equal to 1 N·m.
When is work done zero?
When there is no displacement, or when the force is at 90° to the motion.
Is work a vector?
No. Work is a scalar: it has size but no direction.