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

Question

Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at

as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of

= 36.0°

with the horizontal axis while the green disk makes an angle of

= 54.0°

with this axis as in Figure b. Determine the speed of each disk after the collision.

vof = _______ m/s

vgf = _______ m/s

Explanation / Answer

Conservation of momentum along x axis

Voi*m + m*0 = Vof*cos36*m + Vgf*cos54*m

6.05 = 0.809*Vof + 0.588*Vgf

Conservation of momentum along y axis

0 = Vof*sin36 - Vgf*sin54

0 = 0.588*Vof - 0.809*Vgf

Vgf = 0.727*Vof

Using previous equation

6.05 = 0.809*Vof + 0.588*0.727*Vof

6.05 = 0.427*Vof

Vof = 14.17 m/s

Vgf = 0.727*14.17 = 10.3 m/s

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