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 oi = 5.10 m/s as in Figure (a) shown below. After the collision, the orange disk moves in a direction that makes an angle of = 38.0° with the horizontal axis while the green disk makes an angle of = 52.0° with this axis as in figure (b). Determine the speed of each disk after the collision.
vof =________ m/s
vgf =________ m/s

Explanation / Answer

Let mass be m for both bodies
Conservation of Momentum (horizontal direction)

m*5.1 = mV(of)cos + mV(gf)cos

simplifying we get

5.1 = V(of)(.788) + V(gf)(.616) -(1)

For vertical direction

V(gf)sin(52) = -V(of)sin(38)

.788 V(gf) = -0.616 V(of)

simplifying 1 and 2 we get

V(of) = 16.641 m/s

V(gf) = 13.01 m/s

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