Forces · Mechanics

Force, Mass & Acceleration Calculator

Solve Newton’s second law for net force, mass, or acceleration with selectable SI units, signed directions, and the rearranged equation shown.

Formula shown Runs locally Reviewed Aug 11, 2026
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Equation guide

Translational motion along a selected axis in an inertial reference frame

Net force

Fnet = ma

Mass

m = Fnet/a

Acceleration

a = Fnet/m
Newton’s second law

Solve one force relationship

Choose a positive axis first. Force and acceleration can be negative; mass must be positive. Inputs accept up to three decimal places, and displayed results are rounded to at most three decimal places.

Fnet = ma

Choose the unknown and enter the other two values.

Using the model

Symbols, assumptions and limitations

Interpretation notes

The force entered is the net external force along one chosen axis. Mass must be positive; force and acceleration may be signed. Inputs and displayed results use at most three decimal places.

Worked examples

See the method in practice

01

Finding net force

A 5 kg object accelerating at 3 m/s² requires a net force of 15 N in the acceleration direction.

02

Finding acceleration

A net force of −20 N acting on a 4 kg mass produces an acceleration of −5 m/s² along the selected axis.

Questions

Frequently asked

Is this force the applied force?

Only when no other force contributes along the chosen axis. In general, use the vector sum of all external forces.

Why can force or acceleration be negative?

A negative sign indicates direction relative to the positive axis you selected; it does not mean the magnitude is physically negative.

Does the calculator include weight or friction automatically?

No. Resolve weight, friction, tension, normal force, and other forces first, then enter their net component along the axis.

Sources & review

Equations and examples are checked against the references below. Results are educational and should be independently verified for safety-critical work.

OpenStax University Physics — Newton’s Second Law

Written by the STEM Hub editorial team · Reviewed August 11, 2026 · Review methodology