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AP EAMCET · PHYSICS · Center of Mass Momentum and Collision

Two balls A and B, of masses M and 2M respectively collide each other. If the ball A moves with a speed of 150 m s-1 and collides with ball B moving with speed v in the opposite direction. After collision if ball A comes to rest and the coefficient of restitution is 1 (one), then the speed of the ball B before it collides with ball A is

  1. A 37.5 m s-1
  2. B 12.5 m s-1
  3. C 75 m s-1
  4. D 25 m s-1
Verified Solution

Answer & Solution

Correct Answer

(A) 37.5 m s-1

Step-by-step Solution

Detailed explanation

Applying conservation of linear momentum before and after collsion, M150+2Mv=M0+2Mv'⇒150+2v=2v'    ⇒v'=75+v     ....1 Now, coefficient of restitution is given by e=v'-0150-v=1…