Oblique impact of smooth spheres?

[haddow64]

1. A sphere of mass m impinges obliquely on a sphere of mass M, which is at rest. The coefficient of restitution between the spheres is e. Show that if m=eM, the directions of motion after impact are at right angles



2. Coefficient of restitution -

3. I really don't think I have a clue with this one, so far I have taken e and substituted it into m=eM to give

m = M x V$$_{}2f$$-V$$_{}1f$$$$/$$V$$_{}1$$

Can anyone give me any clues as to where to go next or am I going completely wrong with what I have?

Thanks in advance for any help

 

[dlgoff]

Have you tried to draw a vector representation of your problem? Try this and make use of the conservation of momentum.

 

[haddow64]

Have you tried to draw a vector representation of your problem? Try this and make use of the conservation of momentum.

This is what I have for the problem,

http://img156.imageshack.us/img156/2310/questioncb9.jpg

Do I have the right idea of what the collision looks like?

And how would I use the momentum conservation here, as in U1 (speed of m before) = V2 (speed of M after)?

 

[dlgoff]

Well, that's not exactly what I had in mind.

Could you read over this http://instruct.tri-c.edu/fgram/web/elastic.htm" and let me know if it helps?

 

[haddow64]

Ah, that article was exactly what I needed, thanks for your help :D