Work Means Move
W = F × d — no motion, no work
What this lesson covers
Why it matters
Hold a heavy bucket perfectly still for five minutes. Your arms burn, your brow sweats — and physics coldly scores it: zero work. Physics has its own definition, and it involves moving.
The idea in plain words
Work's strict definition — no trigonometry needed. Tap each term.
W = F × d
Lift a 5 kg bag 2 m up (g = 10). Work done?
100 J
- joule (J): W — work — energy transferred by the force
- newton (N): F — the applied force
- metre (m): d — distance moved ALONG the force's direction — pull sideways and this is zero
- F = mg = 50 N, and the bag moves 2 m along the lift
- W = 50 × 2
Predict first
You push a wall with all your strength. It doesn't move. Work done on the wall = ?
W = F × d, and d = 0. Your muscles did INTERNAL work (that's the tiredness), but the wall received none.
- zero — force without displacement is not work — correct
- a lot — you're exhausted!
- depends on the wall
What you do
Drag the crate and watch work being counted — then find the pull that does no work at all.
Check yourself
1 joule = …
J = N × m. (Lifting 1 kg by 1 m is about 10 J — g does the conversion.)
You lift a 20 N bucket onto a shelf 1.5 m up. Work done on the bucket?
W = F × d = 20 × 1.5 = 30 J — force times the distance moved along it.
Work is done ON an object when…
Force AND motion together — either alone scores zero.
- 1 newton moving something 1 metre — correct
- 1 newton for 1 second
- 1 kg lifted 1 metre
- 30 J — correct
- 21.5 J
- 300 J
- a force moves it through a distance — correct
- you think hard about it
- it is merely heavy