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m1 v1 - m1 v1' - m2 v2' = 0
m1 v1 - m1 v1' - m2 (v1' + v1) = 0
(m1 - m2)v1 - (m1 + m2)v1' = 0
v1' = (m1 - m2)v1/(m1 + m2)
Ek1 = ½ m1 v1²
Ek1' = ½ m1 (v1') ²
Ek1' = ½ m1 ((m1 - m2)v1/(m1 + m2))²