In a game of billiards, the cue ball is traveling eastward when it strikes a sec

Question

In a game of billiards, the cue ball is traveling eastward when it strikes a second ball that is initially at rest. After the collision, the cue ball moves at 4.91 m/s, 25.0 ^degree south of east, and the second ball's speed is 3.01 m/s. At what angle (north of east) does the second ball travel? Assume each ball has a mass of 162 g. Submit Answer Tries 0/5 What was the speed of the cue ball prior to the collision? Submit Answer Tries 0/5 Is the kinetic energy of the colliding balls conserved? (Ignore the rotation of the balls.) O No Yes Submit Answer Tries 0/5

Explanation / Answer

Since the balls have the same mass, I'll just use "M".
Conserve momentum horizontally and vertically

Horizontally: M*u = M*4.91*cos25 + M*3.01*cos
u =4.45 + 3.01cos

Vertically: 0 = M*4.91*sin25 - M*3.01*sin
0 = 2.075 - 3.01sin
sin = 0.689
= 43.55º angle of second ball
u = 6.63 m/s initial speed of cue ball

Kinetic energy of the colloiding ball is conserved.

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