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A 35kg girl is standing near and to the left of a 43kg boy on a frictionless surface of a frozen pond. The boy tosses a .75kg snow ball to the girl with a horizontal speed of 6.2m/s. What are the velocities of the boy and girl immediately after the girl catches the snow ball?

I dont really know where to start but I found a similar problem in my notes and it looks like this...

An astronaut(90kg) throws a wrench(5kg). Find the final velocity of antronaut. And we used this equation...

[tex]P_{final}=m_{astro}v_{final astro} + m_{wrench}v_{final wrench}[/tex]

I am thinking I need to split the problem into two pieces. The ball leaving the boys hand and then the girl catching the ball. Would I use the same formula as above for this problem like so...

[tex]P_{final}=m_{boy}v_{final boy} + m_{snow ball}v_{final snow ball}[/tex]

[tex]P_{final}=m_{girl}v_{final girl} + m_{snow ball}v_{final snow ball}[/tex]