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Statement 1: In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Because Statement 2: In an elastic collision, the linear momentum of the system is conserved.

1. Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1
2. Statement 1 is true, Statement 2 is true; Statement 2 is NOT a correct explanation for Statement 1
3. Statement 1 is true, Statement 2 is false
4. Statement 1 is false, Statement 2 is true

Correct answer: Statement 1 is true, Statement 2 is true; Statement 2 is NOT a correct explanation for Statement 1

Solution

Statement 1 is true because in an elastic collision the coefficient of restitution is 1, so relative speed of separation equals relative speed of approach. Statement 2 is also true, but momentum conservation alone does not explain Statement 1; energy conservation is also needed.

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