Q.14. Two billiard balls A and B of mass 50 g each and moving in opposite directions with speed of 5 m/s each, collide and rebound with the same speed. If the collision lasts for 10-'s, which of the following statements are true (a) the change in momentum of each ball is 0.25 kg m/s and the force on each ball is 250N (b) the impulse imparted to each ball is 0.25 kg m/s and the force on each ball is 25 x 10-5N.
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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:
Medium
Solution
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Correct option is
B
0.5Kgms
−1
Mass of each ball,m=50g=0.05 kg
Initial velocity, v
1
=5 m/s
Initial Momentum , P
1
=mv
1
=0.05×5=0.25kg m/s
After collision, the direction of velocity of each ball is reversed on rebounding.
Final momentum, P
2
=m×(−v
1
)=0.05×(−5)=−0.25kg m/s
Impulse imparted on each ball = Change in momentum of each ball after collision
J=P
1
−P
2
=0.25−(−0.25)=0.5kg m/s
∴ Impulse imparted due to one ball after collision on another is equal to 0.5kg m/s
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