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

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

v1f = cm/s v2f = cm/s 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 v1i = +30.1 cm/s and v2i = ?19.5 cm/s, what are the velocities of the balls after the collision? Assume friction and rotation are unimportant. v1f = cm/s v2f = cm/s EXERCISE HINTS:GETTING STARTED | I'M STUCK! Find the final velocity of the two balls if the ball with velocity v2i = ?19.5 cm/s has a mass equal to half that of the ball with initial velocity v1i = +30.1 cm/s. v1f = cm/s v2f = cm/s

Explanation / Answer

in elastic collision velocity gets exchanged when mass are equal so, v1f=-19.5 v2f=30.1 b) m*30.1-m/2 *19.5=mvif+m/2 v2f 20.35=vif+v2f/2 1=-(vif-v2f)/30.1+19.5 49.6=v2f-vif add 69.95=3/2 v2f v2f=46.63 vif= -2.96

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