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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

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 th class=

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ANSWER:

c) the acceleration is reduced by 2 times

STEP-BY-STEP EXPLANATION:

We have that the force formula is the following:

[tex]\begin{gathered} F=m\cdot a \\ \text{ solving for a} \\ a=\frac{F}{m} \end{gathered}[/tex]

Now if the mass doubles, then:

[tex]\begin{gathered} a=\frac{F}{2m} \\ a=\frac{1}{2}\cdot\frac{F}{m} \\ a=\frac{1}{2}a \end{gathered}[/tex]

Which means that the acceleration would be halved