Ball A has mass m and velocity v0. Ball A moves to the right and hits Ball B, which is initially at rest in the lab frame S and has a mass of 3m. After, Ball A bounces back with a velocity of -v0 / 2 and Ball B is pushed forward with velocity +v0 / 2. Show that the sum of the classical momentum (p = mv) is conserved in the lab frame S.

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Chapter1: Units, Trigonometry. And Vectors
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Ball A has mass m and velocity v0. Ball A moves to the right and hits Ball B, which is initially at rest in the lab frame S and has a mass of 3m. After, Ball A bounces back with a velocity of -v0 / 2 and Ball B is pushed forward with velocity +v0 / 2.

Show that the sum of the classical momentum (mv) is conserved in the lab frame S.

Expert Solution
Step 1

Determine the initial momentum of the system.

pi=pAi+pBipi=mv0+(3m)(0)pi=mv0

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