Calculating Final Speeds of Pucks A and B After Collision

[imtko2005]

The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.024 kg and is moving along the x-axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.054 kg and is initially at rest. After the collision, the two pucks fly apart with the angles 65 for a to the x axis, and37 for b to the x axis. A going up, B down.


Find the final speed of
(a) puck A and
(b) puck B.
m/s

I tired and tried and it dod not work out. the formula i am using has the 2 unknowns in it so it is impossible to solve. Breaking up into components i don't know how, what would the Vi of the speeds be and in what direction. This HW is due tomorrow and this is the first time i am stuck like this. Please help those who know how!

Thanks

 

[mathmike]

you need to use the laws of conservation of momenteum and energy

m1v1i + m2v2i = m1v1f + m2v2f

and

1/2m1v1i^2 + 1/2m2v2i^2 = 1/2m1v1f^2 + 1/2m2v2f^2