A steel ball A collides elastically with another steel ball B (at rest initially) and the ball B is observed to move off at an angle with the initial direction of motion of A. The mass of B is five times that of A. Determine the direction in which A moves after collision and the speeds of the two balls
Answers
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Explanation:In the previous two sections, we considered only one-dimensional collisions; during such collisions, the incoming and outgoing velocities are all along the same line. But what about collisions, such as those between billiard balls, in which objects scatter to the side? These are two-dimensional collisions, and we shall see that their study is an extension of the one-dimensional analysis already presented. The approach taken (similar to the approach in discussing two-dimensional kinematics and dynamics) is to choose a convenient coordinate system and resolve the motion into components along perpendicular axes. Resolving the motion yields a pair of one-dimensional problems to be solved simultaneously.