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Question: A ball moving with velocity of \(9m/s\) collides with another similar stationary ball. After the col...

A ball moving with velocity of 9m/s9m/s collides with another similar stationary ball. After the collision both the balls move in directions making an angle of 30o30^{o} with the initial direction. After the collision their speed will be

A

2.6m/s2.6m/s

B

5.2m/s5.2m/s

C

0.52m/s0.52m/s

D

52m/s52m/s

Answer

5.2m/s5.2m/s

Explanation

Solution

Initial horizontal momentum of the system = m × 9

Final horizontal momentum of the system = 2mv cos 300

According to law of conservation of momentum, m × 9 = 2mv cos 300

⇒ v = 5.2 m/s