1.Two billiard balls of identical mass move toward each other as shown in the fi

Question

1.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 +33.0 cm/s and -20.5 cm/s, what is the velocity of each ball after the collision? Assume friction and rotation are unimportant.
v1f = ? cm/s
v2f = ? cm/s


2.Find the final velocity of the two balls if the ball with velocity v2i = -20.5 cm/s has a mass equal to half that of the ball with initial velocity v1i = +33.0 cm/s.
v1f = ? cm/s
v2f = ?cm/s

Explanation / Answer

velocity will exchange

v1f=-20.5

v2f=33

2)2m*33-m*20.5=mv1f-2mv2f conservation of momentum

.5*2m*33*33+.5*m*20.5*20.5=.5mv1f^2+.5*2mv2f^2

v1f=50.833

v2f=2.66

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