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Two billiard balls of identical mass move toward each other as shown in the figu

ID: 2197768 • Letter: T

Question

Two billiard balls of identical mass move toward each other as shown in the figure. Assume that the collision between them is perfectly elastic. If the initial velocities of the balls are+25.7cm/s and-19.2cm/s, what is the velocity of each ball after the collision? Assume friction and rotation are unimportant.

v1f= cm/s v2f= cm/s
v1f=-19.2
v2f=25.7



Find the final velocity of the two balls if the ball with velocityv2i=-19.2cm/s has a mass equal to half that of the ball with initial velocityv1i=+25.7cm/s. v1f= cm/s v2f= cm/s

Explanation / Answer

When balls of equal masses collide, they exhange their velocities So v1f=-19.2 v2f=25.7 Second case v2-v1=u1-u2=44.9 m1v1+m2v2=m1u1+m2u2 2v1+v2=2u1+u2=32.2 =>v1=-4.23 v2=49.13