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Q. 31

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 288

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Short Answer

Two particles collide and bounce apart. FIGURE EX11.31 shows the initial momenta of both and the final momentum of particle 2. What is the final momentum of particle 1? Write your answer using unit vectors.

The final momentum of particle 1 is

See the step by step solution

Step by Step Solution

Step 1. Given Information

When two particles hit, they bounce away from each other. The starting momenta of both particles, as well as the ultimate momentum of particle 2, are shown in the diagram.

Step 2. Analyze

The collision in this issue is an elastic collision in which the laws of momentum conservation and energy conservation are applied.

Mechanical energy is preserved in a perfectly elastic collision.

The law of conservation of momentum, which is expressed in the form of the equation

Step 3. Simplifying

From the given figure it can be predicted that the initial momentum of particle 1 is , the initial momentum of particle 2 is

and the final momentum of particle 2 is

Now solving as per the law of conservation,

Step 4. Substituting and evaluating

Substitute the values of the momentum,

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