Work W = F·s calculator

Enter force and distance. The calculator computes work W = F·s when the force runs along the motion. 200 N over 10 m is 2000 J, slow or fast: time belongs to power.

Inputs

Result

Force (N) and Distance (m). Work shows up here.

How it works

F s W = F·s
Work is the force F acting along the path s - no displacement, no work.

Work in physics is force times distance when the force runs along the motion: W = F·s. Pushing a crate 10 m at 200 N is 2000 J. The same 200 N over 5 m is 1000 J. 50 N over 4 m is 200 J. Holding a bag for an hour with no shift is about zero joules, even if your arms ache: s = 0.

Force is in newtons, distance in meters or in the US label unit. The result is in joules. An angle other than 0° needs the component F cosθ; type that component as F. Time is not in the formula: 2000 J comes out slow or fast. A comma and a period are the same distance: 12,5 and 12.5.

Typed 0 N or 0 m gives 0 J: nothing pushes or nothing moves. Both fields need a number before 2000 can appear. Force from mass can come from F = m·a next door, then you return here with newtons.

Power P = W/t divides those joules by seconds. 2000 J in 10 s is 200 W. Kinetic energy Ek = ½ m v² uses the same unit, a different formula: speed there, force and distance here. When lifting, W can sit near Ep = m g h if F ≈ mg.

For a spring, work is not F times x, it is ½ k x². This calculator stays with a constant force along s. Towing at an angle: take F cosθ first, then this product.

Type 200 and 10, click Calculate, and match 2000 J. Then 200 and 5: 1000 J. The header symbol does not push the crate. Treat 2000 as joules from the product, not as ache in the arms.

Force from mass: F = m·a. Rate: P = W/t.

How to use

  1. In the first field enter force F in newtons, for example 200. Convert mass to newtons on F = m·a first if that is what you have.
  2. In the second field enter distance s in meters, for example 10. Angle other than 0°: type the component F cosθ as F, not the whole vector.
  3. Click Calculate. The calculator multiplies F by s. 200 N and 10 m give 2000 J, slow or fast. 200 N over 5 m is 1000 J. 50 N over 4 m is 200 J.
  4. Typed 0 N gives 0 J. Both fields need a number. There is no time here: those same 2000 J in 10 s are 200 W on the power page.
  5. Want watts? Open P = W/t. Energy from speed is on Ek. A spring is on ½kx². Here it stays F·s for a constant force.

Formula

W = F · s

Force along the path. Time does not enter. Angle: take F cosθ first, then this card.

W, F, and s for force along the path

Work in this calculator is force times distance. Time does not enter. Take F cosθ first if the problem has an angle, then type that component.

W
Work in joules: W = F·s. 1 J = 1 N·m. Power P = W/t is another calculator, because t is not here.
F
Force in newtons along the path. If the problem gives an angle, take F cosθ first; do not type the slanted force whole.
s
Distance in meters. Zero meters gives W = 0. That is displacement along F, not a loop around a circle.
N
The unit of F on the label. Weight in newtons can go in F when you lift vertically through s.

Real-life examples

Example 1

Shoving a heavy crate across the warehouse floor: a steady 250 N over 12 m. Your back logs every joule of it.

Example 2

A full cart through the whole supermarket: about 80 N of push over 40 m of aisles, produce section to checkout.

Example 3

Dead battery morning: you push the car at 600 N for the first 3 m just to get it rolling for a bump start.

Example 4

A wheelbarrow full of soil: 350 N of push over 25 m, one end of the garden to the other. Spring cleanup, in joules.

Example 5

Dragging the vacuum behind you: a modest 40 N, but over 15 m of living room it quietly adds up to real work.

Example 6

Hoisting a dresser onto the van: 500 N lifted through 0.8 m. A short path, but every vertical centimeter costs.

Example 7

Winching a car onto the trailer: the cable pulls at 1200 N through the last 2 m of the ramp until the wheels settle.

Example 8

Riding into a headwind: only 30 N of drag, but held over 5000 m. That is why your legs beg for mercy afterwards.

Example 9

Shuffling the sofa to the far wall: 450 N of scraping over 6 m of floor. Thirty seconds, a surprising joule count.

Example 10

Towing a kid on a sled at 70 N over 80 m of snowy path: the most pleasant physical work winter has to offer.

Example 11

A luggage cart stacked with suitcases: 120 N of push along 60 m of platform, from the stairs to the last carriage.

Example 12

Walking the fridge to its new corner: 700 N of push over 4 m of kitchen floor. A short trip felt in every muscle.

Frequently asked questions

How many joules at 200 N over 10 m?

W = 200 × 10 = 2000 J. Slow or fast is the same. Over 5 m that is 1000 J. 50 N over 4 m is 200 J.

Does work mean I get tired?

Not in physics. Force with no distance is about zero joules. Sore arms are not an SI unit. Holding a bag for an hour at s = 0 does not count as work.

Which units do I type?

Force in N, distance in m or the labeled unit. Result in J. Convert mass to newtons on F = m·a first.

Where is time?

In power P = W/t. This calculator has no time. 2000 J in 10 s is 200 W. The work stays the same, the rate changes.

What about an angle?

The simple formula assumes force along s. When towing, take F cosθ and type that as F. There is no angle field.

Where is F = m·a?

On the force page. Here you already type F, not mass. 80 kg is not 80 N.

Does a comma in 12.5 m work?

Yes. 12,5 and 12.5 are the same distance. The calculator does not require a period.

Where is kinetic energy?

On Ek = ½mv². Here work from force and distance, there energy from speed. Same unit, different formula.

Is 0 m zero joules?

Yes. Typed 0 in s gives W = 0. Both fields need a number before 2000 appears. A skipped distance is not a zero to compute.

For a spring, is W = F x?

No. Spring energy is ½kx². Here a constant force along the path. Different card, different formula.

Knowledge sources

The formula is the school one. Units follow SI; NIST SP 330 and BIPM define the measures, not your result.

Page updated in 2026.