Two billiard balls undergo a head-on collision. Ball 1 is twice as heavy as ball 2. Initially, ball 1 moves with a speed u towards ball 2 which is at rest. Immediately after the collision, ball 1 travels at a speed of u 3 in the same direction. What type of collision has occurred? A)Inelastic; B)Elastic; C)Completely inelastic; D)cannot be determined from the information

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Two billiard balls undergo a head-on collision. Ball 1 is twice as heavy as ball 2. Initially, ball 1 moves with a speed u towards ball 2 which is at rest. Immediately after the collision, ball 1 travels at a speed of       u    3   in the same direction. What type of collision has occurred?  A)Inelastic;  B)Elastic;  C)Completely inelastic;  D)cannot be determined from the information

Kamari Potts · Accepted Answer

The correct answer is  B ElasticLet mass of ball 1=2m Mass of ball 2=m Velocity of ball 1 before collision =u Velocity of ball 1 after collision   =      u    3   Velocity of ball 2 before collision =0 Let final velocity of ball 2  =      v    2   Momentum will be conserved because there is no outside force acting on the system. Prior to and following a collision, using conservation of linear momentum.  (  2  m  )  u  +  m  (  0  )  =  (  m  )      v    2    +  (  2  m  )  (      u    3    ) or       v    2    =            4      u        3   Now,  e  =      velocity of separation    velocity of approach      e  =                    v        2            −              v        1                            u        1            −              u        2                e  =                              4          u                3            −              u        3                    u      −      0        =  1 Thus, collision is elastic.

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