Calculating Final Velocities for Identical Plates on Ice

[Doc Al]

(when the rabbit jumps FROM the right plate back to the left plate):

Before jump = After jump

$m_{R}\left(v_{i}\right)_{R}+m_{p}\left(v_{i}\right)_{p}=m_{R}\left(v_{f}\right)_{R}+m_{p}\left(v_{f}\right)_{p}$

$\left(m_{R} + m_{p}\right)v_{f}=m_{R}\left(v_{f}\right)_{R}+m_{p}\left(v_{f}\right)_{p}$

$\left(m_{R} + m_{p}\right)v_{f}=m_{R}\left(v_{f}\right)_{R}+m_{p}\left(v_{f}\right)_{p}$

Good. And you know (are given) the final speed of the rabbit after it jumps. So use that to figure out the final speed of the plate.

 

[ghostanime2001]

I think I got it but let me send you a PDF that I produced in LaTeX to see if my work make sense or not. Please check out the attached PDF file.