Question

A force $F$ is acting on an object of mass $m$ to give it an acceleration of $a$. If $m$ is doubled and $F$ becomes 16th times, what happens to $a$?

• A. It is divided by eight
• B. It is divided by two
• C. It remains unchanged
• D. It is multiplied by two
• E. It is multiplied by eight

Answer 1

The correct option is E It is multiplied by eight

Force on the object $F=ma$

Now mass is doubled and new force becomes 16 times i.e $F^{\prime }=16F$ and $m^{\prime }=2m$

$\therefore$ $16F=m^{\prime }{a}^{\prime }$

OR $16\left(ma\right)=\left(2m\right)a^{\prime }$ $a^{\prime }=8a$