Two shuffle board disks of equal mass, one orange and the other yellow, are invo

Question

Two shuffle board 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 5.00 m/s. After the collision, the orange disk moves along a direction that makes an angle of 40.0 degree with its initial direction of motion. The velocities of the two disks are perpendicular after the collision. Determine the final speed of each disk m/s (orange disk) m/s (yellow disk)

Explanation / Answer

from conservation of momentum

along y axis

mvosin40 = mvysin50

vy = vo(0.839)

along x axis

m*5 = mvocos40+mvycos50

5 = v0(0.766)+0.643vy

v0*0.766+v0*0.643*0.839 = 5

v0 = 3.83 m/s

vy = 3.21 m/s

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