Free calculatorLive resultsSteps and sourcesEmbed on your site, free

Newton Second Law Calculator

Newton's Second Law Calculator works out Net force and Mass from Mass, Acceleration and Net force. The default figures on this page give net force of 6 N; change any entry and the result, the working and the sources update together.

Net force
6 N
Newton's Second Law Calculator
Mass
2 kg
Acceleration
3 m/s^2
Weight under gravity
19.6133 N
Force in kilogram-force
0.61183 kgf
Solved for
force
Worked out from Newtonian mechanics: v = dx/dt, F = ma, J = F dt = dp, and the work-energy relations and 1 other source.

Your figures

Updates as you type
Signed: a negative value is a deceleration or acceleration in the opposite direction.
Standard gravity by default, exact by definition of the CGPM.

How this is worked out

2 steps
  1. F = m a = 2 kg x 3 m/s^2 = 6 N
  2. Weight under gravity = 2 x 9.80665 = 19.6133 N

Its 4 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

2 sources
Newtonian mechanics: v = dx/dt, F = ma, J = F dt = dp, and the work-energy relations
Standard results in any introductory mechanics text; the SI unit definitions are in the BIPM SI Brochure.

What the Newton's Second Law Calculator calculates

Relates net force, mass and acceleration, solving for whichever is unknown, and reports the weight of the mass under gravity.

How to use this Newton's Second Law Calculator

Enter Mass, Acceleration, Net force and Gravitational acceleration. Net force updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Net force, Mass and Acceleration.

The method follows Newtonian mechanics: v = dx/dt, F = ma, J = F dt = dp, and the work-energy relations and BIPM, The International System of Units (SI Brochure).

Research R3528-GT-1: 2 kg at 3 m/s^2 example

With Mass: 2, Acceleration: 3, the calculator returns Net force: 6. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Net force, Mass and Acceleration. The inputs you can vary are Mass, Acceleration, Net force and Gravitational acceleration.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

Preview

See something wrong? Report a problem with this calculator

Frequently asked questions

What is the formula for the 2nd law?

On the figures this page opens with — mass 2 kg and acceleration 3 m/s² — the net force is 6 N. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.

What is the correct equation for Newtons second law?

It needs Mass, Acceleration, Net force and Gravitational acceleration. Nothing else is required, and the figures stay in your browser.

What information do I need for the Newton's Second Law Calculator?

You need Mass, Acceleration, Net force and Gravitational acceleration. The page opens with default figures that give net force of 6 N, so you can see the scale before entering your own.

What does this Newton's Second Law Calculator show?

It shows Net force, Mass, Acceleration, Weight under gravity, Force in kilogram-force and Solved for, with the working and any warnings for your entries.

Can I check how the Newton's Second Law Calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

Related calculators

View all related calculators12 more