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PRACTICE IT Use the worked example above to help you solve this problem Two bill

ID: 2269202 • Letter: P

Question

PRACTICE IT Use the worked example above to help you solve this problem 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 vy- +26.6 cm/s and - -21.6 cm/s, what are the velocities of the balls after the collision? Assume friction and rotation are unimportant. (Indicate the direction with the sign of your answer.) ry . v2/ = cm/s cm/s EXERCISE Find the final velocity of the two balls if the ball with velocity v21.-21.6cm/s has a mass equal to half that of the ball with initial velocity v +26.6 cm/s. (Indicate the direction with the sign of your answer.) HINTS: GETTING STARTED IM STUCK cm/s V2r cm/s Need Help? Resd i

Explanation / Answer

u1 = v1(m1-m2) + 2m2u2/(m1+m2)

u2 = (v2(m2-m1) + 2m1u1)/(m1+m2)

A) u1= (-2 x m x 21.6) / 2m = -21.6 cm/s

u2 = (2 x 26.6 x m) / 2m = 26.6 cm/s

B) u1 = (2 x m1 /2 x -21.6)/(m1 + m1/2) = -14.4 cm/s

u2 = (2 x m1 x 26.6)/(m1 + m1/2) = 35.47 cm/s

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