(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two hockey pucks collide with each other. Puck 1 has a mass of 0.050 kg and an initial velocity of 5 m/s in the x direction. It collides with puck 2 which is initially at rest and has a mass of 0.10 kg. The collision isn't head-on. After the collision, Puck 1 flies off in the north-east direction with a velocity of 3 m/s in an angle θA above the x-axis. Puck 2 flies off in the southeast direction with a velocity of 2.5 m/s in an angle θB below the x-axis. Find θA and θB.

2. Relevant equations

Conservation of linear momentum

m_{1}v_{f1}+ m_{2}v_{f2}= m_{1}v_{o1}+ m_{1}v_{o2}

3. The attempt at a solution

So in the y:

m_{1}v_{f1y}+ m_{2}v_{f2y}= m_{1}v_{o1y}+ m_{1}v_{o2y}

0.05(3sinΘa) + 0.1(2.5sinΘb) = 0 + 0

0.15sinΘa + 0.25sinΘb = 0

In the x:

m_{1}v_{f1x}+ m_{2}v_{f2x}= m_{1}v_{o1x}+ m_{1}v_{o2x}

0.05(3cosΘa) + 0.1(2.5cosΘb) = 0.05(5) + 0

0.15cosΘa + 0.25cosΘb = 0.25

I'm lost as to where to go from here.

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# Homework Help: Collision between two pucks, find the angle

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