Newton’s Second Law Calculator (F = ma)

This Newton’s second law calculator solves the equation F = ma, the relationship between force, mass and acceleration that underpins most of classical mechanics. Newton’s second law states that the net force acting on an object equals its mass multiplied by the acceleration that force produces, which is why pushing a heavy trolley takes more force than pushing a light one for the same speed-up. Choose which variable you want to find, force, mass or acceleration, from the solve for dropdown, then enter the other two values in newtons, kilograms and metres per second squared. The calculator rearranges the formula, F = ma, m = F divided by a, or a = F divided by m, and displays the result in a highlighted results card, showing the solved value alongside which variable it represents. That makes it handy for checking homework, preparing lesson material, or working through mechanics problems without rearranging the algebra by hand. A worked example below the calculator shows a 10 kg mass accelerating at 2 metres per second squared requiring 20 newtons of net force, and you can enter those same figures to confirm the tool matches it. Remember that F represents the net force, the sum of every force acting on the object including friction and gravity, so add those up first if more than one force is acting before you enter a value.

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Force = 20 N
Value20
Resultsolved for Force

The formula

Newton’s second law is F = ma, where F is the net force, m is mass and a is acceleration. Rearranged: m = F / a and a = F / m.

Worked example

A net force on a 10 kg mass producing 2 m/s squared of acceleration is F = 10 times 2 = 20 N. Solve for F with m = 10, a = 2 to confirm.

Frequently asked questions

What is Newton’s second law?

The net force on an object equals its mass times its acceleration: F = ma.

Does F mean total force?

Yes, the net (resultant) force. Add up all forces, including friction and gravity, before using the law.

What is a newton?

The SI unit of force: one newton accelerates one kilogram at one metre per second squared.

Who this calculator is for

This calculator is for physics students, teachers and engineers.

What this calculator assumes

  • You enter SI units as labelled.
  • One variable is solved from the others.
  • Results are rounded for display.

Formula and sources

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