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 res

Question

Physics need help...

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 v with arrowoi = 7.40 m/s as in Figure (a) shown below. After the collision, the orange disk moves in a direction that makes an angle of θ = 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

Answer 1

Use momentum conservation,and write equations for X and Y components separately.

As far as the masses are equal, you may write equations for velocity components only.

 

Vox=Voxf+Vgxf

Voy=Voyf+Vgyf

 

 

or

 

7.4=VofCOS36+VgfCOS54

 

VofSIN36=VgfSIN54

 

 

You gor rwo equations with two unknowns, Vof and Vog. Solve.