Question

If both the mass of a body and the force acting on it are doubled, the acceleration:

• A. is doubled
• B. is halved
• C. becomes zero
• D. remains the same

Answer 1

The correct option is D remains the same

Acceleration of the body $a=\frac{F}{m}$

Now the mass as well as the force acting are doubled i.e $m^{\prime }=2m$ and $F^{\prime }=2F$

Thus new acceleration of the body $a^{\prime }=\frac{2F}{2m}=\frac{F}{m}=a$

Hence acceleration of the body remains the same.