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## Homework Statement

Object 1 with velocity v hits object 2, of same mass at velocity 2. Prove that the angle between them after the collision is equal to 90 degrees.

## Homework Equations

PE inital = PE final

KE initial = KE final

## The Attempt at a Solution

P x component

m1 x v1 + 0 = (m1)(v'1)(costheta1) + (m1)(v'2)(costheta2)

p y comp

0 = (m1)(v'1)(sintheta1) + (m1)(v'2)(sintheta2)

kinetic E equation simplifies to

v1 - v2 = v'2 - v'1

I can't figure out how to combine the three to a point where they simplify.