Q. Two carts of masses $200\ kg$ and $300\ kg$ on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the $200\ kg$ cart travels a distance of $36\ m$ and stops, then the distance travelled by the cart weighing $300\ kg$ is
A) $32\ m$
B) $24\ m$
C) $16\ m$
D) $12\ m$
Explanation
(c) For given condition $s \propto \frac{1}{m^{2}}$
$\therefore\frac{s_{2}}{s_{1}} = \left( \frac{m_{1}}{m_{2}} \right)^{2} = \left( \frac{200}{300} \right)^{2}$
$\Rightarrow s_{2} = s_{1} \times \frac{4}{9} = 36 \times \frac{4}{9} = 16\ m$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.