Two shuffleboard disks of equal mass, one orange and the other yellow, are invol

Question

Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in a perfectly elastic glancing collision. The yellow disk is initially at rest and is struck by the orange disk, which is moving with a speed of 5.0 m/s. After the collision, the orange disk moves in a direction that makes an angle of 37degree with its initial direction of motion, and the velocity of the yellow disk is perpendicular to that of the orange disk (After the collision, assume a negative 13degree angle). Determine the final speed of each disk.

Explanation / Answer

conserving momentum in horizontal direction

m (5) = mv1 cos37 +mv2 cos53

5 = v1cos37 + v2 cos 53

conserving vertical direction

0 = mv1sin37 - mv2 sin53

v1/v2 = 1.327

from above equations

v2 = 3.009 m/sec ( yellow)

v1 = 3.993 m/sec ( orange)

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