Collision of two smooth spheres: Find in terms of u and e the speeds of A and B after impact.

Okay, Luma. Let's tackle these problems.

Question 4: Collision of two smooth spheres

Given:

• Mass of sphere A, $m_A = m$
• Mass of sphere B, $m_B = 3m$
• Initial speed of A, $u_A = 4u$
• Initial speed of B, $u_B = -u$ (moving towards A)
• Coefficient of restitution, $e$

i) Find in terms of $u$ and $e$ the speeds of A and B after impact.

Step 1: Apply the principle of conservation of linear momentum.

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