Question

A Rigid unform rod of mass M and length L is resting on a smooth horizontal table. Two marbles each of mass m
and travelling with uniform speed V collide with two ends of the rod simultaneously and inelastically as
M
shown the marbles get struck to the rod after the collision and continue to move with the rod. If m=M÷6 then
​

Answer 1

Answer:

Final speed of the system is v/4

Explanation:

As we know that there is no external force on the system of rod + masses

so here we can use momentum conservation for this system

So we can say

initial momentum = final momentum

now we have

$P_i = \frac{M}{6} v + \frac{M}{6} v$

now for final momentum we have

$P_f = (M + \frac{M}{6} + \frac{M}{6}) v_f$

now from momentum conservation equation we have

$\frac{Mv}{3} = \frac{4M}{3} v_f$

$v_f = \frac{v}{4}$

#Learn

Topic : collision

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