Back(III) Two billiard balls in contact with each other are struck by a third ball moving at 5.5 m/s as shown in Fig. 9–46a. If both of the first two balls move after the collision at an angle of 32° to the initial path of the third ball (Fig. 9–46b), find the velocities of all three balls after the collision. Assume all balls have the same mass, and the collision is elastic.
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In order to convert a tough split in bowling, it is necessary to strike the pin a glancing blow as shown in Fig. 9–64. Assume that the bowling ball, traveling at 14.0 m/s just before it strikes the pin, has five times the mass of a pin and that the pin goes off at 75° from the original direction of the ball. Calculate the speed
(a) of the pin and (b) of the ball just after collision, and
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A 5.5-kg object moving in the +𝓍 direction at 6.5 m/s collides head-on with an 8.0-kg object moving in the ―𝓍 direction at 4.0 m/s. Determine the final velocity of each object if:
(b) the collision is elastic;