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Q.

Two billiard balls A and B, each of mass 50 g and moving in opposite directions with speed of 5 ms-1 each, collide and rebound with the same speed. The impulse imparted to each ball is 

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a

0.25 kg m s-1

b

0.5 kg m s-1

c

0.1 kg m s-1

d

0.125 kg m s-1

answer is B.

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Detailed Solution

Question Image

Initial momentum of ball A=0.055ms-1=0.25kg ms-1
As the speed is reversed on collision, Final momentum of the ball A=0.05kg-5ms-1=-0.25 kg ms-1
 Impulse imparted to the ball A= Change in momentum of ball A=Final momentum - Initial momentum =-0.25 kg ms-1-0.25 kg ms-1=-0.5 kg ms-1

Similarly, initial momentum of ball B=0.05kg-5 ms-1=-0.25 kg ms-1
Final momentum of ball B=0.05kg5 ms-1=+0.25kg ms-1
Impulse imparted to ball B=0.25 kg ms-1--0.25 kg ms-1=0.5 kg ms-1
Impulse imparted to each ball is 0.5 kg ms-1 in magnitude. The two impulses are opposite in direction.

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