Instead of a traditional cue, Rodrigow used a spring-powered cue in his game of billiards. When the constraints on the spring (k = 100 kN/m) are removed, the launching mechanism of the cue is triggered, and the 170-g cue ball A is launched forward. Ball A is separated from the plate when the spring becomes fully unstretched. Ball A is launched at an angle a with the horizontal, making it rebound off the cushion at an angle ß. When the cue ball A hits the initially stationary 9-ball B (ma= 160 g), the latter goes snuggly into the lower left pocket. Determine the amount of compression (mm) on the spring so that the speed of ball B is exactly 5.XYZ m/s, where XYZ is the last three digits of your student number (Ball B may bounce off the table if its velocity is> 5.XYZ m/s and may not reach the pocket if < 5.XYZ m/s). The coefficient of restitution between ball A and the cushion is 0.6 while between balls A and B is 0.95. Neglect the effect of friction and the size of the balls.
Instead of a traditional cue, Rodrigow used a spring-powered cue in his game of billiards. When the constraints on the spring (k = 100 kN/m) are removed, the launching
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