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## Homework Statement

An atom (m = 19.0 u) makes a perfectly elastic collision with another atom at rest. After the impact, the atom travels away a

a 52.9° angle from its original direction and the unknown atom travels away at a −50.0° angle. What is the mass (in u) of th

unknown atom?

## Homework Equations

Conservation of Momemtum

Law of Sines

## The Attempt at a Solution

Atom A is the m_a=19 u...

m_a*v_a,i=m_a*v_a,f + m_b*v_b,f

Draw triangle, use law of sines...

sin(45.8)/(m_b*v_b,f)=sin(84.2)/(m_a*v_a,i)=sin(50)/(m_a*v_a,f)

4 eqns (bottom one can be separated into 3 eqns correct?), 4 unknowns (m_b, v_a,i, v_a,f, and v_b,f)

Tried to solve in my TI-89 and it did not work (note I'm not in radian mode or anything stupid)