Three balls, A, B, and C, are placed in a straight line on a...

To solve this problem, we will break the motion down into two stages and apply the principles of momentum conservation.

Stage 1: Inelastic collision between Balls A and B

In this stage, Balls A and B collide inelastically and stick together. Momentum is conserved during this collision.

Let , , and the initial velocity of Ball A is , while Ball B is initially at rest.

The final velocity of the combined object (A + B) after the inelastic collision is given by the equation:

Substitute the values:

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Physics