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Hard M2 question watch

1. A sphere of mass m1 moving with speed u1 collides directly with a similar sphere of mass m2 moving with speed u2 in the same direction (u1>u2). The coefficient of restitution between the two spheres is e. Show that the loss of kinetic energy E due to the collision satisfies the equation

2(m1 + m2)E = m1m2(1-e^2)(u1 - u2)^2
2. (Original post by Widowmaker)
A sphere of mass m1 moving with speed u1 collides directly with a similar sphere of mass m2 moving with speed u2 in the same direction (u1>u2). The coefficient of restitution between the two spheres is e. Show that the loss of kinetic energy E due to the collision satisfies the equation

2(m1 + m2)E = m1m2(1-e^2)(u1 - u2)^2
Is this the one from the heinemann book?
It's been done before and the working involved is quite tedious! I think a solution has been posted somewhere in a past thread.
3. (Original post by Gaz031)
Is this the one from the heinemann book?
It's been done before and the working involved is quite tedious! I think a solution has been posted somewhere in a past thread.
okay thanks.
4. lol
I'm not doing that! I've just seen the solution. I had the right idea but the simplifying takes up 2 pages!
It'll be fun tomorrow walking my dumbass M2 teacher trying to work it out.
5. use:

e=(v2-v1)/(u1-u2)

where v2 and v1 are the speeds of m2 and m1 after the collision respectively, to work out v2 and v1 in terms of e, u1 and u2
6. (Original post by animal555)
use:

e=(v2-v1)/(u1-u2)

where v2 and v1 are the speeds of m2 and m1 after the collision respectively, to work out v2 and v1 in terms of e, u1 and u2
Here is the real solution and then comment on my decision not to do the question.

http://www.thestudentroom.co.uk/atta...achmentid=7524

I had the right thinking but it is just too long.

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