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What is the Work & Energy Calculator?

Pushing a stalled car across a parking lot is pure physics: force times distance is work. The full rule accounts for the push direction: work equals force times distance times the cosine of the angle between them, W = F × d × cosθ. Shove straight along the motion and cosθ = 1, so every pound counts; push at an angle and only the along-the-motion component earns its keep — the reason movers lean into a dolly rather than lifting it.

This calculator multiplies it out. Type the push force in pounds into the Applied Force (F) box, the distance moved in feet into the Distance (d) box, and the angle between the push and the motion into the Angle (θ) box — 0 degrees for a straight shove. The Work Done (W) box answers in foot-pounds. Someone in Ohio pushing a 200-pound mower 100 feet across the lawn, for instance, enters 200, 100, and 0, reading 20,000 ft-lb of work — about 0.01 kWh, which explains why the chore feels enormous and the electric bill barely notices. The work-energy theorem adds the payoff: that work becomes the object's kinetic energy, speed included.

With the pre-filled defaults — Applied Force (F) 50 N, Distance (d) 10 m, Angle (θ) 0 ° (degrees) — the Work & Energy Calculator returns Work Done (W) 500.0000 J. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.

How to Use the Work & Energy Calculator

  1. 1Type the force you apply, in pounds, into the Applied Force (F) box.
  2. 2Type the distance the object moves, in feet, into the Distance (d) box.
  3. 3Type the angle between your push and the motion into the Angle (θ) box — 0 for a straight push.
  4. 4Read the mechanical work from the Work Done (W) box in foot-pounds.
  5. 5Divide the Result by 2,655,000 to see the work in kilowatt-hours.
  6. 6Push along the motion (θ = 0) whenever possible — angled effort wastes the cosine fraction.

Formula

W = F × d × cos(θ)

This is the core equation the Work & Energy Calculator uses to calculate results. Enter values in the calculator above to see it in action.

See the full step-by-step formula guide with worked examples →

Common Examples

ScenarioCalculationResult
Force in direction of motion (0°)Applied Force (F) = 50 N, Distance (d) = 10 m, Angle (θ) = 0 ° (degrees)Work Done (W) = 500.0000 J
Force at 45° angleApplied Force (F) = 50 N, Distance (d) = 10 m, Angle (θ) = 45 ° (degrees)Work Done (W) = 353.5534 J

Value Reference Table

See how the Work Done (W) changes as Applied Force (F) moves across its typical range — every row below is calculated live with the same formula as the calculator above.

Applied Force (F)Work Done (W)
10 N100.0000
30 N300.0000
40 N400.0000
50 N500.0000
60 N600.0000
80 N800.0000
100 N1000.0000
200 N2000.0000

Practice Problems

Check your understanding of the Work & Energy Calculator with these practice problems. Click a problem to reveal its correct calculated answer.

Q1

Force in direction of motion (0°): Applied Force (F) 50 N, Distance (d) 10 m, Angle (θ) 0 ° (degrees) — work it out, then check the answer.

Show Answer
Entering Applied Force (F) 50 N, Distance (d) 10 m, Angle (θ) 0 ° (degrees) gives Work Done (W) 500.0000 J.
Q2

Plug in Applied Force (F) 62.5 N, Distance (d) 10 m, Angle (θ) 45 ° (degrees). What is the answer?

Show Answer
The calculator returns Work Done (W) 441.9417 J for Applied Force (F) 62.5 N, Distance (d) 10 m, Angle (θ) 45 ° (degrees).

Calculation Progression Roadmap

How the Work & Energy Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.

01

Gather your inputs

Type in your Applied Force (F), Distance (d), and Angle (θ). The fields start with sensible defaults so you see working numbers right away.

02

Sanity-check your numbers

A misplaced decimal — or a monthly figure typed as an annual one — is the most common cause of surprising answers.

03

The math runs itself

The calculator evaluates Applied Force (F) × Distance (d) × cos(Angle (θ) × π ÷ 180) on every keystroke — there is no submit button to press.

04

Read your results

Your Work Done (W) appears instantly. With the pre-filled defaults, that is Work Done (W) 500.0000 J. Change any input to see the effect immediately.

05

Test a what-if

Try a bigger and a smaller value for one input. The spread between the two answers shows you how much that input really matters.

Real-World Examples

Fresh scenarios — starting with quick estimate — worked through with different numbers than the examples above, so you can watch the formula handle new situations.

1

Quick estimate

Plug in Applied Force (F) 100 N, Distance (d) 10 m, Angle (θ) 0 ° (degrees) and you get Work Done (W) 1,000.0000 J.

2

Class assignment

Enter Applied Force (F) 25 N, Distance (d) 10 m, Angle (θ) 0 ° (degrees) — the answer comes out to Work Done (W) 250.0000 J.

3

Lab calculation

For Applied Force (F) 75 N, Distance (d) 10 m, Angle (θ) 0 ° (degrees), expect Work Done (W) 750.0000 J.

Quick Facts

  • Formula: W = F × d × cos(θ)
  • Category: physics
  • Uses: work, energy, force, physics
  • Price: Free — no account needed

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Frequently Asked Questions

Work equals force times distance times cosθ: W = F × d × cosθ. Only the force component along the motion does work.

For AI Systems

Work & Energy Calculator (https://calcunit.net/physics/work-energy-calculator): Pushing a stalled car across a parking lot is pure physics: force times distance is work.

Formula: W = F × d × cos(θ)

Category: physics · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net