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Newton to Joules Calculator

Force times distance equals energy. Three modes: newtons to joules, joules to newtons, joules to distance. Free, private, runs in your browser.

Honest physics, read this first A newton measures force; a joule measures energy. There is no fixed "1 N = X J" conversion. Energy only appears when a force acts over a distance: E = F x d. Any converter that turns newtons into joules without asking for a distance is misleading you.

The formula

E = F x d

Work (energy) equals force multiplied by distance. One joule is defined as exactly one newton-meter: 1 J = 1 N-m. So when force is in newtons and distance is in meters, the answer is directly in joules.

Worked examples (verified)

InputResult
100 N x 2 m200 J (0.2 kJ, 0.0555556 Wh, 0.189563 BTU)
1 lbf x 1 ft1.35582 J
2.5 kN x 800 m2,000,000 J (2,000 kJ, 555.556 Wh, 1,895.63 BTU)
200 J over 2 m100 N of force
500 J from 25 N20 m of distance
Which tool for which question (scope boundary)
  • This tool: force acting over a distance to energy (newtons to joules, joules to newtons, joules to distance).
  • kg-to-newtons: mass to force. Use it when you start from kilograms, not newtons.
  • joules-to-kj: energy unit conversion. Use it after you have joules and want kJ, calories, or watt-hours.
  • energy-unit-converter: the full energy-unit hub (12 units).

Frequently asked questions

Can you convert newtons directly to joules?
No. A newton measures force and a joule measures energy; they are different physical quantities. You cannot say "1 N = X J" without a distance. Energy only appears when a force acts over a distance: E = F x d. So 100 N is 200 J only if it pushes something over 2 meters.
What is the formula for newton to joules?
Work (energy) = force x distance, or E = F x d. Use newtons for force and meters for distance and the answer comes out directly in joules, because 1 joule is defined as exactly 1 newton-meter. If the force is given in kilonewtons or pound-force, or the distance in cm, km, or feet, convert to N and m first, then multiply.
How much is 100 N in joules?
It depends on the distance. 100 N acting over 2 m gives E = 100 x 2 = 200 J. Over 0.5 m it gives 50 J. Over 1 km it gives 100,000 J. Any "newton to joule" answer that does not mention a distance is incomplete.
How do you calculate force from joules and distance?
Rearrange the formula: F = E / d. For example, 200 J of energy delivered over 2 m means an average force of 200 / 2 = 100 N. Select the "Energy + distance to force" mode above and the calculator does this for you.
How do you calculate distance from joules and force?
Use d = E / F. For example, 500 J produced by a steady 25 N force covers 500 / 25 = 20 m. Select the "Energy + force to distance" mode above.
What is 1 lbf-ft in joules?
1 pound-force foot equals 1.35582 J. This follows from exact definitions: 1 lbf = 4.4482216152605 N and 1 ft = 0.3048 m, so 1 lbf-ft = 4.4482216152605 x 0.3048 = 1.3558179483 J.
Does the angle between force and motion matter?
Yes. The full physics formula is W = F x d x cos(theta), where theta is the angle between the force and the direction of motion. This calculator assumes the force pushes straight along the motion (theta = 0, cos = 1), which is the common case for pushing, pulling, and lifting. A force at right angles to the motion (theta = 90) does zero work.
Real-world example: how many joules to lift 10 kg by 2 meters?
Lifting works against gravity. The force is weight = mass x g = 10 x 9.80665 = 98.0665 N. Energy = 98.0665 N x 2 m = 196.133 J. (To convert mass to force first, see the kg-to-newtons calculator.)
What is the difference between this tool and kg-to-newtons?
kg-to-newtons converts mass to force (kilograms to newtons, using gravity). This tool converts force-plus-distance to energy (newtons and meters to joules). Use kg-to-newtons when you have a mass; use this calculator when you have a force acting over a distance.
What is the difference between this tool and joules-to-kj?
joules-to-kj converts between energy units (joules to kilojoules and other energy units). This tool computes energy from force and distance (newtons to joules). Once you have your answer in joules here, joules-to-kj can express it in kJ, calories, or watt-hours.
Which units are supported?
Force: newton (N), kilonewton (kN), pound-force (lbf). Distance: meter (m), centimeter (cm), kilometer (km), foot (ft). Energy: joule (J), kilojoule (kJ), watt-hour (Wh), British thermal unit (BTU, International Table).
Is 1 joule the same as 1 newton-meter?
Yes, exactly. The joule is defined as the work done when a force of one newton moves something one meter: 1 J = 1 N-m, by definition of the SI system. The unit "newton-meter" is also used for torque, which is a different quantity with the same dimensions.

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