Question

When you apply a force F on an object of mass of m, it would produce acceleration a. If you apply the same force on another object of mass 2m, how would be the acceleration of the second object?

Answer 1

`(a)/(2)`

Step-by-step explanation

When a force is applied on an object of mass m, it produces an acceleration of a.

We can represent this relationship using Newton's second law of motion:

`\begin{gathered} F=ma \\ \Rightarrow a=(F)/(m) \end{gathered}`

Now, the same force is applied on an object with a mass of 2m.

Let the acceleration experienced by the object be a1. This implies that:

`\begin{gathered} F=\left(2m\right)\left(a_1\right) \\ \Rightarrow a_1=(F)/(2m) \end{gathered}`

We can write this new acceleration in terms of a as follows:

`\begin{gathered} a_1=(1)/(2)\left(a\right) \\ a_1=(a)/(2) \end{gathered}`

That would be the acceleration of the second object.

The answer is the third option.