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

Question

V 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 5.00 m/s as in Figure P6.40a. After the collision, the orange disk moves in a direction that makes an angle of 37.0° with the horizontal axis while the green disk makes an angle of 53.0 with this axis as in Figure P6.40b. Determine the speed of each disk after the collision. 40. After the collision of Before the collision 37.0° 53.0 5.00 m/s - g/ Figure P6.40

Explanation / Answer

By momentum conservation in x axis:

m v1 = m Vof cos 37 degree + m Vgf cos 53 degree

5 = 0.8 Vof + 0.6Vgf

  By momentum conservation in y axis:

0 = m Vof sin 37 degree - m Vgf sin 53 degree

0.6 Vof = 0.8Vgf or Vgf = 0.75 Vof

putting this in first equation,

5 = 0.8 Vof + 0.6*0.75 Vof

5 = 0.8 Vof + 0.45 Vof

1.25 Vof = 5

Vof = 4 m/s answer

Vgf = 0.75 Vof = 3 m/s answer

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