Question

If an objects mass doubles while the net force on it remains constant thena) the acceleration is reduced by 4 timesb) the acceleration is increased by 2 timesc) the acceleration is reduced by 2 times d) the acceleration is increased by 4 times

Answer 1

c) the acceleration is reduced by 2 times

Explanation:

We have that the force formula is the following:

`\begin{gathered} F=m\cdot a \\ \text{ solving for a} \\ a=(F)/(m) \end{gathered}`

Now if the mass doubles, then:

`\begin{gathered} a=(F)/(2m) \\ a=(1)/(2)\cdot(F)/(m) \\ a=(1)/(2)a \end{gathered}`

Which means that the acceleration would be halved