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## Homework Statement

A 28.0 g object moving to the right at 19.0 cm/s overtakes and collides elastically with a 5.0 g object moving in the same direction at 15.0 cm/s. Find the velocity of each object after the collision.

## Homework Equations

mv + mv = mv + mv

## The Attempt at a Solution

(28.0 g)(19.0 cm/s) + (5.0 g)(15.0 cm/s) = (28.0 g)v1f + (5.0 g)v2f

607 g cm/s = 28 g v1f + 5 g v2f

607 cm/s = 28 v1f + 5 v2f

(574 cm/s = v1f + v2f )-5

607 cm/s = 28 v1f + 5 v2f

-2870 cm/s = 5 v1f - 5 v2f

-2263 cm/s = 23 v1f

v1f = -98.4 cm/s

v2f = -5.83 cm/s

I know that both velocities have to be positive, so I know these values cannot be right.