Question: Example 3.11: Liouvilles theorem and elastic collisions Two identical solid balls collide elastically along a smooth, straight furrow. (a) If their velocities before impact are

Example 3.11: Liouville’s theorem and elastic collisions Two identical solid balls collide elastically along a smooth, straight furrow.

(a) If their velocities before impact are v1 and v2, and after impact v1 and v2 , show that dv1dv2 = dv1 dv2.

(b) Verify Liouville’s theorem for the elastic collision of two solid balls of unequal masses. [Hint: Start from momentum and energy conservations].

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