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## Homework Statement

A(n) 12 g object moving to the right at

31 cm/s overtakes and collides elastically with

a 29 g object moving in the same direction at

15 cm/s.

Find the velocity of the slower object after

the collision.

Answer in units of cm/s.

## Homework Equations

## The Attempt at a Solution

I know it probably looks very confusing. I am not the best at keeping track of the work I am doing. Some steps may have changed or are irrelevant to the answer:

m1*v1+m2*v2=m1*v1f+m2*v2f

v2f=[(m1*v1+m2*v2)-m1*v1f]/m2

.5(m1)(v1)^2 + .5(m2)(v2)^2 = .5(m1)v1f^2 + .5(m2)v2f^2

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v2f=(807-12v1f)/29

18057= 12v1f^2 + 29v2f^2

18057= 12v1f^2 + 29[(807-12v1f)/29]^2

[(807-12v1f)/29][(807-12v1f)/29]

(807-12v1f)(807-12v1f)

651249 - 2(9684v1f) + 144v1f^2

c.................b.................a

-19368 (+-) [19368^2 - 4(144)(651249)]^.5

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2(144)

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v1f = 67.25

v2f=(807-12v1f)/29

v2f=(807-12[67.25])/29

18057= 54270.75 + 29v2f^2

-36213.75 = 29v2f^2