Force Calculator

Fill in any two of mass, acceleration and force, and leave the third blank. The calculator finds the missing one.

kg

Leave blank to find the mass.

m/s²

Leave blank to find the acceleration. Gravity near the Earth gives 9.80665 m/s².

N

Leave blank to find the force.

This result is an estimate only. Double-check important figures before relying on them.

How it is calculated

  • Force = mass × acceleration
  • Mass = force ÷ acceleration
  • Acceleration = force ÷ mass
  • Units: force in newtons (N), mass in kilograms (kg), acceleration in metres per second squared (m/s²)

For energy, use the kinetic energy calculator or the potential energy calculator.

Worked example

  • A 10 kg mass accelerating at 2 m/s²: 10 × 2 = 20 N
  • A force of 50 N on a 5 kg mass: 50 ÷ 5 = 10 m/s²
  • A force of 100 N giving 4 m/s²: 100 ÷ 4 = 25 kg

Why your number may differ

F = ma gives the net force. If friction or other forces act too, subtract them first. At speeds close to the speed of light, Newton’s law is not accurate.

Frequently asked questions

What is Newton’s second law?

The force on an object equals its mass times its acceleration: F = m × a. A bigger force gives a bigger acceleration, and a heavier object accelerates less for the same force.

What is a newton?

One newton is the force that gives a 1 kg mass an acceleration of 1 m/s².

How do I find weight?

Weight is the force of gravity on a mass: W = m × g. A 70 kg person has a weight of about 70 × 9.80665 = 686 N.