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 5.70m/s. After the collision, the orange disk moves in a direction thatmakes an angle of 30.9° 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 thecollision.
smaller speed 1 m/s larger speed 2 m/s smaller speed 1 m/s larger speed 2 m/s

Explanation / Answer

Ans. As the collision is perfectly elasticcollision,                   Momentum is conserved.           Considering horizontal component            0+5.70=Vo cos30.9-Vy cos [180-90-30.9] ...........(1)            Considering vertical component,                    0=Vosin30.9+Vysin59.1  ...........(2)            Solving (1)&(2) we get,               Vo=4.89 m/s               Vy=-2.93m/s              [Ans.]    [Vo=velocity of orange disk,Vy=velocity of yellow disk ]

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