Question

1. two cars collide on a track. the descriptions of the collisions are described in the box

• scenario 1, the cars bounce off each other after the collision and move in opposite directions.
• scenario 2, the cars collide and stick together, moving as one mass after the collision.

based on the scenarios, which statement correctly describes the difference between the two collisions?
scenario 1 represents an inelastic collision because the cars bounce off each other, while scenario 2 represents an elastic collision because the cars stick together.
scenario 1 represents an elastic collision because the cars bounce off each other, while scenario 2 represents an inelastic collision because the cars stick together.
scenario 1 represents an elastic collision because the cars move as one mass, while scenario 2 represents an inelastic collision because the cars bounce off each other.
both scenario 1 and scenario 2 are examples of inelastic collisions because the cars either bounce off or stick together.

Explanation:

To determine the correct statement, we recall the definitions of elastic and inelastic collisions:

• Elastic collision: Objects bounce off each other, and kinetic energy is (nearly) conserved. The objects move separately after the collision.
• Inelastic collision: Objects stick together (or deform) and move as one mass after the collision. Kinetic energy is not conserved.

Now, analyze the scenarios:

• Scenario 1: Cars bounce off each other (move separately) → Elastic collision.
• Scenario 2: Cars stick together (move as one) → Inelastic collision.

Now, evaluate the options:

1. First option: Says Scenario 1 is inelastic (wrong, it's elastic) and Scenario 2 is elastic (wrong, it's inelastic). Eliminate.
2. Second option: Says Scenario 1 is elastic (correct, bounce off) and Scenario 2 is inelastic (correct, stick together). This matches.
3. Third option: Misidentifies Scenario 1 (says it moves as one, but it bounces off) and Scenario 2 (says it bounces off, but it sticks together). Eliminate.
4. Fourth option: Says both are inelastic. But Scenario 1 is elastic (bounce off, kinetic energy conserved). Eliminate.

Answer:

B. Scenario 1 represents an elastic collision because the cars bounce off each other, while Scenario 2 represents an inelastic collision because the cars stick together. (Assuming the second option is labeled B; adjust label based on actual option numbering in the problem.)