- #1

## Homework Statement

The problem reads:

"Hockey puck A sliding on ice with velocity 10 m/s in the x direction collides at a glancing blow with a second stationary puck B. Puck A scatters at an angle of θ

_{A}= 40 degrees above the x axis, while B slides away at an angle ofθ

_{B}= 50 degrees below the x axis. (a) Use momentum conservation to find the final speeds v

_{A}and v

_{B}of the two pucks, respectively. What is the change in kinetic energy? (b) What are the two scattering angles according to an observer in the center of mass frame of reference?"

## Homework Equations

m

_{A}v

_{1A}+ m

_{B}v

_{1B}= m

_{A}v

_{2A}+ m

_{B}v

_{2B}

## The Attempt at a Solution

Ok, so far I divided the problem into x and y components, where the final velocities in the x direction would be v

_{2A}cos40 and v

_{2B}cos50 and the final velocities in the y direction would be v

_{2A}sin40 and -v

_{2B}sin50. I feel like there are too many unknowns, we aren't given the masses of the two pucks, and I have absolutely no clue how to do this problem without the masses of the pucks. I have 4 unknowns (final velocities and the masses) and only two equations. Am I missing something? How do I approach this problem??