Acceleration Using Force and Mass Calculator

Created by Luciano Mino
Last updated: Nov 27, 2022

Our acceleration using force and mass calculator can obtain a body's acceleration from its mass and the force applied to it.

Keep reading while we explain Newton's second law (force, mass, and acceleration formula) along with the following:

  • How to find acceleration with mass and force;
  • How to find force with mass and acceleration; and
  • How to find mass with acceleration and force.

Newton's second law - force, mass, and acceleration formula

Newton's second law states the following: the change of motion of an object is proportional to the force impressed; it is made in the direction of the straight line in which the force is impressed.

Which translates to the following formula:

F=ma\overrightarrow{F} = m\overrightarrow{a}


  • mm is the object's mass in kg;
  • aa is its acceleration in m/s²; and
  • FF is the force causing this acceleration in newtons N (1 N = 1 kg * m/s²).

This formula is useful if we want to find the force acting upon an object if we know its mass and acceleration.

Let's see how to get any parameter using the others.

How to find acceleration with mass and force

The main topic of our acceleration using force and mass calculator is, of course, acceleration. So, how do we find it? Using Newton's second law of motion By rearranging this equation, we can work out the acceleration - all you need to do is divide the force applied to an object by its mass:

a=Fma = \frac{F}{m}

For example, if you have a force of 10 N and a mass of 2 kg, the acceleration would be calculated as 10/2 = 5 m/s²

🙋 Tip: you can input the force, mass, or acceleration using any units in our acceleration using force and mass calculator. Our tool will promptly convert the units during its calculation to get the correct result.

How to find mass with acceleration and force

Lastly, if we want to find an object's mass knowing its acceleration and the force we apply to it, we should use the following formula instead:

m=Fam = \frac{F}{a}

Alternatively, use our acceleration using force and mass calculator! Input any two parameters, and it will automatically fill the other with the result.

💡 To further aid you in your physics studies, read our work calculator to learn more about dynamics!

Luciano Mino
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