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 ........ $m$
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 ........ $m$
$32$
$24$
$16$
$12$
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 ........ $m$
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}$
$⇒$ ${s_2} = {s_1} \times \frac{4}{9} = 36 \times \frac{4}{9} = 16\;m$
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