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 an elastic, glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving with a speed of 4.20 m/s. After the collision, the orange disk moves along a direction that makes an angle of 36.0° with its initial direction of motion. The velocities of the two disks are perpendicular after the collision. Determine the final speed of each disk.

Orange disk = ? (m/s)

Yellow disk = ? (m/s)

Explanation / Answer

call orange disc 'od' yellow = 'yd'

Mod = Myd = M

V1od = 4.20 m/s
V2od = 4.20 sin 30 in perpendicular and = 4.20 cos 30 in straight on direction.

conservation of momentum
MVod1 + MVyd1 = MVod2 + MVyd2

M is the same so cancels out

Vod1 + Vyd1 = Vod2 + Vyd2

4.2 + 0 = (4.20 sin 30) + Vyd2

Vyd2 = 4.2 - (4.20 sin 30) = 2.10

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