Momentum Problem (is it possible to solve)

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Homework Statement



We collected the following data from a virtual lab with two pucks having an elastic collision.

m1 = 1 kg
m2 = 2 kg
v1 = 0
v2 = .2 m/s [318 degrees]

we have to find the final velocities for the pucks... I was trying this out but it seems that there are too many variables to solve for(V'1 and its angle, and V'2 and its angle).

I'm thinking that the problem doesn't have enough data to solve... can anybody confirm this, or let me know if it is solvable.

thanks!


Homework Equations



P system = m1v1 + m2v2
P' system - m1v'1 + m2v'2

Ek before = Ek after

m1(v1)^2 + m2(v2)^2 = m1(v'1)^2 + m2(v'2)^2

The Attempt at a Solution



I got the x component of the system as Psx = .297 kg * m/s
and the y component as Psy = -.268 kg * m/s

.297 = (m1)(v'1cosθ) + (m2)(v'2cosΦ)
-.268 = (m1)(v'1sinθ) + (m2)(v'2sinΦ)


using the kinetic energy formula i got

.0800 = (V'1)^2 + 2(V'2)^2

after that I'm stuck cause it seems that there are too many variables to solve for.
 

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