Four balls A,B,C and D are kept on a smooth horizontal surface as shown in figure. Ball A is given velocity u towards B. List - I List - II (P) Total impulse of all collisions on A (1) 9 4 mu (Q) To

Question

Four balls A,B,C and D are kept on a smooth horizontal surface as shown in figure. Ball A is given velocity u towards B.

List - I	List - II
(P) Total impulse of all collisions on A	(1) $\frac{4 mu}{9}$
(Q) Total impulse of all collisions on B	(2) $\frac{4 mu}{27}$
(R) Total impulse of all collision on C	(3) $\frac{4 mu}{3}$
(S) Total impulse of all collisions on D	(4) $\frac{52}{27} mu$

TestHub · Accepted Answer

Successive elastic collisions (e = 1): A(2m) hits B(m): $v_{A} = \frac{u}{3}$ , $v_{B} = \frac{4 u}{3}$

Continuing the chain, final speeds: A = u/27, B = 4u/27, C = 4u/9, D = 4u/3

Impulses: A = 52mu/27, B = 4mu/27, C = 4mu/9, D = 4mu/3

So P→4, Q→2, R→1, S→3

Answer (B)

Physics - Center of Mass Question with Solution | TestHub