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so apparently, this problem usually would require, many hours, and quite a few pages to write a proof for this, but today, i was shown a way to solve it in only a few mintues with only a few steps...

an object of mass

where m1 = mass of object 1, m2 =mass of object 2, v = velocity of m1, x = velocity after collision of object 1, y = velocity of object after collision.

http://img159.imageshack.us/img159/6387/pyhsag3.png [Broken]

http://img90.imageshack.us/img90/2593/phys2ul7.png [Broken]

so then

1/2(m1)v² = 1/2(m1)x² + 1/2(m2)y²

cancel out and simplify

v² = x² + y²

would that be completely valid?

an object of mass

*m*collides elastically with a second object of equal mass initially at rest. If the collision is a glancing collision, prove they separate at 90 degrees.where m1 = mass of object 1, m2 =mass of object 2, v = velocity of m1, x = velocity after collision of object 1, y = velocity of object after collision.

http://img159.imageshack.us/img159/6387/pyhsag3.png [Broken]

http://img90.imageshack.us/img90/2593/phys2ul7.png [Broken]

so then

1/2(m1)v² = 1/2(m1)x² + 1/2(m2)y²

cancel out and simplify

v² = x² + y²

would that be completely valid?

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