Question

What is the relationship between mass and acceleration when force is constant?

Answer 1

1. According to Newton's second law, force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.
2. The mathematical expression of this law can be written as $F=ma$, where, $F$ is the applied force, $m$ is the mass of the object and $a$ is its acceleration.
3. Considering the fact that $F$ is constant and rearranging the equation above,

$$\begin{gathered} F=ma \\ a=\frac{F}{m} \end{gathered}$$

Hence, when the force is constant, then the acceleration will be inversely proportional to the mass.