What is needed to solve this physics problem please help?

[hasmagic1]

A 30.0 g object moving to the right at 16.0 cm/s overtakes and collides elastically with a 6.0 g object moving in the same direction at 15.0 cm/s. Find the velocity of each object after the collision.
30.0 g object _________ cm/s
6.0 g object __________cm/s

[rijim2001]

elastic collision means conservation of momentum



p1 + p2 = p1' + p2'

(30)(16) + (6)(15) = p1' + p2' = (30)v1' + (6) v2' =570

and

conservation of energy ( the 1/2 cancels from each term)

m1v1^2 + m2v2^2 = m1v'1^2 + m2v'2^2

(30)(16)^2 + (6)(15)^2 = (30)(v1'^2) + (6)(v2'^2) = 9030


(30)v1' + (6) v2' =570
5v1' + v2' =95


(30)(v1'^2) + (6)(v2'^2) = 9030
5v1'^2 + v2'^2 = 1505

So our two equations reduce to:
5v1' + v2' =95
5v1'^2 + v2'^2 = 1505

Substitute 5v1' =95-v2' into the second equation

(95-v2' )^2 + v2'^2 = 1505
9025 - 190v2' -v^4' + v^4' = 1505

-190 v2' = -7435

v2' = 39.1315789 cm/s

Going back to the equation

5v1' + v2' =95

5v1' + 39.1 = 95
5v1' = 95 -39.1 = 55.9

v1' = 55.9/5 = 11.18 cm/s

30.0 g object _11.18________ cm/s

6.0 g object __39.13_______cm/s