Momentum and CollisionHardBloom L3
Question
Two massless strings of length 5 m hang from the ceiling very near to each other as shown in the figure. Two balls A and B of masses 0.25 kg and 0.5 kg are attached to the string. The ball A is released from rest at a height 0.45 m as shown in the figure. The collision between two balls is completely elastic. Immediately after the collision, the kinetic energy of ball B is 1 J. The velocity of ball A just after the collision is
Options
A.5 ms–1 to the right
B.5 ms–1 to the left
C.1 ms–1 to the right
D.1 ms–1 to the left
Solution
Sol. 
Just before collision
$WET \Rightarrow v_{A} = \sqrt{2gh} = \sqrt{2 \times 10 \times 0.45}$
vA = 3 m/s = v1
∴ $v_{1}^{'} = 2.\frac{v}{3} - v = - \frac{v}{3} = - 1$m/s
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