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 moving with a speed of
6.67 m/s. After the collision, the orange disk
moves along a direction that makes an angle
of 49.6 with its initial direction of motion and
the velocity of the yellow disk is perpendicular
to that of the orange disk (after the collision).
Determine the final speed of the orange
disk.
Answer in units of m/s

Explanation / Answer

call orange disc 'od' yellow = 'yd' Mod = Myd = M V1od = 4.40 m/s V2od = 4.40 sin 30 in perpendicular and = 4.40 cos 30 in straight on direction. conservation of momentum MVod1 + MVyd1 = MVod2 + MVyd2 M is the same so cancels out Vod1 + Vyd1 = Vod2 + Vyd2 4.4 + 0 = (4.40 sin 30) + Vyd2 Vyd2 = 4.4 - (4.40 sin 30)

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