Boneyard Tools

Force Calculator (F = ma)

This calculator applies Newton's second law, F = m times a, to whichever two quantities you know. Pick the pair you have from the Known values menu, enter the numbers, and it solves for the missing force, mass or acceleration in SI units. All three values are shown together, and a Copy button grabs them as plain text.

How to use the force calculator

  1. Open the Known values menu and pick your pair: Mass and Acceleration, Force and Acceleration, or Force and Mass.
  2. Type the first known value into its box, next to its unit label.
  3. Type the second known value into the other box.
  4. Read the solved force, mass and acceleration in the three result cards.
  5. Click Copy to put all three values on your clipboard.

Examples

Solve for force from mass and acceleration

m = 10 kg, a = 9.8 m/s^2
F = 98 N

Solve for mass from force and acceleration

F = 98 N, a = 9.8 m/s^2
m = 10 kg

Solve for acceleration from force and mass

F = 3600 N, m = 1200 kg
a = 3 m/s^2

Frequently asked questions

What is Newton's second law?

It states that the net force on an object equals its mass times its acceleration, written F = m times a. Force and acceleration point in the same direction, and a bigger mass needs a bigger force to reach the same acceleration.

What units does this calculator use?

Force is in newtons (N), mass in kilograms (kg) and acceleration in metres per second squared (m/s^2). By definition one newton is the force that accelerates one kilogram at one metre per second squared.

How many values do I need to enter?

Exactly two of force, mass and acceleration. The third is fully determined by the other two, and the tool solves for whichever one you leave out based on the pair you select.

Which pair should I choose?

Pick the pair that matches the numbers you already have. Mass and Acceleration solves for force, Force and Acceleration solves for mass, and Force and Mass solves for acceleration.

How do I find weight as a force?

Weight is the force of gravity on a mass. Choose Mass and Acceleration, enter the mass, and set acceleration to 9.8 m/s^2 for Earth. A 10 kg object then weighs 98 N.

Why can't mass be zero when solving for acceleration?

Acceleration is force divided by mass, and dividing by a mass of zero is undefined. The tool rejects that entry rather than showing an infinite or nonsensical result.

Can I enter negative values or decimals?

Yes. Decimals like 9.8 are fine, and negative numbers are accepted to represent a force or acceleration acting in the opposite direction along an axis.

How precise are the results?

Each answer is rounded to nine decimal places, which removes tiny floating-point artefacts while keeping ample precision. Whole-number results like 98 N appear cleanly without trailing zeros.

Does this account for friction or multiple forces?

No. F = m times a uses the net force, so if several forces act you must first add them, keeping direction in mind, and enter that single resultant force.

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