1. Two masses, m and M are involved in a glacing collision as seen below where θ and ø= pi/2.
If M = nm what must n be such that the collision is elastic?

Remember if θ+ø=pi/2 then cos(θ)=sin(ø) and cos(ø)=sin(θ)

http://ift.tt/1liMFfp

2. I am suppose to find an number for n.

3. ∑KEo=∑KEf
1/2m$_{1}$v$^{2}_{0}$+0=1/2m$_{1}$v$^{2}_{f1}$+1/2m$_{2}$v$^{2}_{f2}$

substitute m$_{1}$n for m$_{2}$ and cancel the 1/2m$_{1}$

v$^{2}_{o1}$=v$^{2}_{f1}$+nv$^{2}_{f2}$
n=$\frac{v^{2}_{o1}-v^{2}_{f1}}{v^{2}_{f2}}$

Not sure what to do from here please help. I know I’m probably suppose to use the θ and ø, but I’m not sure how to incorporate it.

1. The problem statement, all variables and given/known data

Known: M=nm, θ+ø=pi/2
Unknown: n

2. Relevant equations

W$_{NC}$=ΔKE+ΔPE
KE=$\frac{1}{2}$mv$^{2}$
Momentum=∑p=mv$_{f}$-mv$_{o}$

3. The attempt at a solution

PS sorry I kinda messed this up it is my first post.

http://ift.tt/1tk60Cl