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## Homework Statement

Two masses, m1 and m2 are involved in an elastic collision. The initial velocities v1_0 and v2_0 are 1 and -2, respectively. The final velocities v1_1 and v2_1 are -3 and 0, respectively. Solve for m1 and m2.

## Homework Equations

Given the collision is elastic, here are the two relevant equations:

1. m1*v1_0 + m2*v2_0 = m1*v1_1 + m2*v2_1

2. 1/2 (m1*v1_0^2 + m2*v2_0^2) = 1/2 (m1*v1_1^2 + m2*v2_1^2)

## The Attempt at a Solution

I'm not sure what I'm doing wrong, but when I try to solve these 2 equations with 2 unknowns, I end up getting m1 = m2 = 0. For example, using equation 1 & 2 from above:

1. m1 - 2 * m2 = -3 * m1

→ 4 * m1 = 2 * m2

→ 2 * m1 = m2

2. m1 + 4 * m2 = 9 * m1

→ 4 * m2 = 8 * m1

→ 2 * m1 = m2

At this point, you only really have one equation so you can't solve for two unknowns, but if you do substitute 2 * m1 for m2 in the other equation you get 2 * m1 = 2 * m1 --> 0 = 0.

Any help would be appreciated, thanks.