Prove that m = F / a According To Newton’s Second Law of Motion

Prove that m = F / a or there is also an inverse relationship between mass (m) of the body and acceleration (a), if a force is applied on the body.

We already know that according To Newton’s Second Law of Motion:

F = ma

 So, we have:

m = F / a

Let's say a body is moving an accelerations of 3 m/s² if we apply a Force of 30 N, then what is the mass (m) of the body?

To Prove, We put the values in the equation, so that we can find the left hand side, which represents the mass of the body as shown below:

m = F / a

m = 30 / 3 = 10

Left Hand Side = m = 10Kg

From Right Hand Side, we have:

Right Hand Side = F / a

Right Hand Side = 30 / 3

Right Hand Side = 10 Newton / ms-²

Hence m = F / a Or Right Hand Side = Right Hand Side

Hence it is proved that there is an inverse relationship between mass (m) of the body and acceleration (a), if a force (F) is applied on the body according to Newton’s Second Law of Motion.