Question

The engine of a car produces acceleration $4m{s}^{-2}$ in the car. If this car pulls another car of the same mass. What will be the acceleration produced?

• A. $1m{s}^{-2}$
• B. $1.5m{s}^{-2}$
• C. $2m{s}^{-2}$
• D. $4m{s}^{-2}$

Answer 1

Answer: (C)

$2m{s}^{-2}$

According to the newton's second law:

$F=ma$

$F$ : Applied force on object

$m$ : Mass of the object

$a$ : Acceleration of the body

$a=\frac{f}{m}$,

When mass is doubled.

$m^{\prime }=2m$, then

$\Rightarrow a^{\prime }=\frac{F}{m^{\prime }}$

$\Rightarrow a^{\prime }=\frac{F}{2m}$

$\Rightarrow a^{\prime }=\frac{4}{2}$

$\Rightarrow a^{\prime }=2m{s}^{-2}$