An inelastic collision of two objects is characterized by which of the following. a. Total momentum of the system remains constant. O b. Total kinetic energy of the system remains constant. C. Both A and B are true. d. Neither A nor B are true.

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### Question: Properties of Inelastic Collisions

An inelastic collision of two objects is characterized by which of the following:

- a. Total momentum of the system remains constant.
- b. Total kinetic energy of the system remains constant.
- c. Both A and B are true.
- d. Neither A nor B are true.

### Explanation

In this type of multiple-choice question:

#### Answer Analysis:
1. **Option a**: In inelastic collisions, while individual momenta of objects change, the total momentum of the system is conserved. This is due to the conservation of momentum principle.
2. **Option b**: The total kinetic energy of the system is **not** conserved in inelastic collisions; some of it is converted into other forms of energy like heat or sound.
3. **Option c**: As established in the explanations, while total momentum is conserved, total kinetic energy is not. Therefore, both statements cannot simultaneously be true.
4. **Option d**: This option asserts that neither the total momentum nor the total kinetic energy is conserved. Since total momentum is conserved, option d is incorrect.

#### Correct Answer:
- **Option a**: The total momentum of the system remains constant.

This fundamental concept is crucial in the study of classical mechanics, especially in understanding collision dynamics.
Transcribed Image Text:### Question: Properties of Inelastic Collisions An inelastic collision of two objects is characterized by which of the following: - a. Total momentum of the system remains constant. - b. Total kinetic energy of the system remains constant. - c. Both A and B are true. - d. Neither A nor B are true. ### Explanation In this type of multiple-choice question: #### Answer Analysis: 1. **Option a**: In inelastic collisions, while individual momenta of objects change, the total momentum of the system is conserved. This is due to the conservation of momentum principle. 2. **Option b**: The total kinetic energy of the system is **not** conserved in inelastic collisions; some of it is converted into other forms of energy like heat or sound. 3. **Option c**: As established in the explanations, while total momentum is conserved, total kinetic energy is not. Therefore, both statements cannot simultaneously be true. 4. **Option d**: This option asserts that neither the total momentum nor the total kinetic energy is conserved. Since total momentum is conserved, option d is incorrect. #### Correct Answer: - **Option a**: The total momentum of the system remains constant. This fundamental concept is crucial in the study of classical mechanics, especially in understanding collision dynamics.
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