Force calculator: Newton's second law F = ma

Choose the unknown and enter the other two values. Force is shown in newtons, kilonewtons and kilogram-force.

Loading the tool…

Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.

How to use it

  1. Enter what do you want to find?, mass, acceleration and force.
  2. The result appears straight away and updates as you edit.
  3. Copy the result, or copy a link that keeps the same values to share it.

How it is calculated

F = m × a, m = F ÷ a, a = F ÷ m. One newton is 1 kg·m/s², and one kilogram-force is 9.80665 N.

Example

Inputs: What do you want to find? = Force, Mass = 10 kg, Acceleration = 2 m/s², Force = 20 N. Result: Force: 20 N; In kilonewtons: 0.02 kN; In kilogram-force: 2.0394 kgf.

Limits and caveats

  • Applies to the net force on the object, not to one force when others such as friction also act.
  • Assumes constant mass and speeds far below the speed of light.

Questions about this tool

What is a newton?

The force that gives a 1 kg mass an acceleration of 1 m/s². A small apple weighs about 1 N.

What is the difference between mass and weight?

Mass is the amount of matter in kilograms; weight is the pull of gravity, equal to mass × g in newtons.

Should I enter the total force or one force?

The second law links acceleration to the net force, so subtract opposing forces such as friction first.