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Force Calculator

Newton's second law: F = m × a, with weight on Earth as a bonus.

Quick answer

  • Formula: F = m × a; Weight = m × g, g = 9.80665 m/s²
  • Worked example — Force: 20.0000 N (full example below).

Force Calculator

Set this to 9.80665 to reproduce the weight on Earth shown alongside.
Worked example result
Force20.0000 N
Weight on Earth (m × g)98.0665 N

Accelerating 10 kg at 2 m/s² requires a net force of 20 N. The same mass weighs 98.07 N on Earth.

Diagram: how the Force Calculator works — you enter Mass, Acceleration; it applies the formula F = m × a; Weight = m × g, g = 9.80665 m/s²; and the worked example gives Force: 20.0000 N.
How the Force Calculator works — the inputs, the formula, and a worked example (Force: 20.0000 N).

Newton's second law states that the net force on an object equals its mass times its acceleration. It is the foundation of classical mechanics and the definition of the newton.

Enter mass and acceleration to get force in newtons. The calculator also shows the object's weight on Earth — the force when the acceleration is gravity, g = 9.80665 m/s².

The formula

F = m × a; Weight = m × g, g = 9.80665 m/s²

Worked example

Accelerating 10 kg at 2 m/s² requires a net force of 20 N. The same mass weighs 98.07 N on Earth.

Worked example for the Force Calculator: with Mass 10, Acceleration 2, the result is Force: 20.0000 N; Weight on Earth (m × g): 98.0665 N.
The worked example, with the example values entered and the results they give.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

What is the difference between mass and weight?

Mass (kg) is the amount of matter and is the same everywhere. Weight (N) is the gravitational force on that mass — about 9.81 N per kilogram on Earth, but only about 1.62 N per kilogram on the Moon.

What is one newton?

The force needed to accelerate 1 kg by 1 m/s². Roughly, it is the weight of a small apple (about 102 g) on Earth.

Category: Science calculators

Sources & methodology

This calculator applies the formula shown on this page exactly as written, using the standard definitions for its inputs. Results are computed from the values you enter — no data is stored — and are rounded only for display.

Content last reviewed by CalcHub Editorial.

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