Calculating X componet of Velocity in collision

[connie5828]

Homework Statement

An object of mass 21 kg going to the right with
a speed of 27 m ⁄ s collides with a(n) 12 kg object at rest.
After collision the 21 kg object moves with a speed of 11 m ⁄ s
making an angle of 20 degree with the horizontal-right.
Calculate the x-component of the velocity of the 12 kg
object after collision.

Homework Equations

m₁v_lix+m₂V_2ix=m₁v_lfx+m₂v_2fx
I am not understanding if this is the right equation. My textbook is not giving enough information

The Attempt at a Solution

An attempt was made and the # wasn't even in the ballpark of the multiple choice answers.

 

[tiny-tim]

hi connie!

that is the correct equation …

show us your full calculations, and then we'll see what went wrong, and we'll know how to help

 

[connie5828]

Let me start here:
M₁=21
v_lix= 27* cos 0^o
m₂=12
v_2ix=0*cos0
v_lfx= 11*cos20
v_2fx=??

Are these correct before I go further? Thanks so much for the help.

 

[tiny-tim]

hi connie!

(just got up :zzz: …)

Let me start here:
M₁=21
v_lix= 27* cos 0^o
m₂=12
v_2ix=0*cos0
v_lfx= 11*cos20
v_2fx=??

Are these correct before I go further? Thanks so much for the help.

looks ok so far, but it would be better and quicker if you would show your whole calculations in one go (you only have to copy what you've already done), rather than a bit at a time