Two shuffleboard disks of equal mass, one orange and the otheryellow, are involv

Question

Two shuffleboard disks of equal mass, one orange and the otheryellow, are involved in a perfectly elastic glancing collision. Theyellow disk is initially at rest and is struck by the orange diskmoving initially to the right at 4.90m/s. After the collision, the orange disk moves in a direction thatmakes an angle of 39.8° with itsinitial direction. Meanwhile, the velocity vector of the yellowdisk is perpendicular to the postcollision velocity vector of theorange disk. Determine the speed of each disk after the collision.

Explanation / Answer

m vO1 = m vO2 cos 39.8 + m vYcos 50.2     conservation of monentum inx-direction m vO2 sin 39.8 = m vY sin50.2    conservation of momentum iny-direction vY = .826 vO2 Substitute this value in the first equation and solve forvO2 vO1 = vO2 cos 39.8 + vY cos 50.2   4.9 = vO2 cos 39.8 + .826vO2 * cos 50.2   vO1 = vO2 cos 39.8 + vY cos 50.2   4.9 = vO2 cos 39.8 + .826vO2 * cos 50.2  

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