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Identify correct statement(s) about the coefficient of restitution 'e' -
- a)If e =1, The collision is perfectly elastic
- b)If e = 0, The collision is perfectly elastic
- c)If e = 0,The collision is perfectly plastic
- d)If e =1, Height before impact = Height after impact
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Identify correct statement(s) about the coefficient of restitution e -...
Coefficient of restitution (e): The coefficient of restitution is the ratio of relative velocity after impact to the relative velocity before impact.
EXPLANATION:
EXPLANATION:
- Perfectly elastic collision: A perfectly elastic collision is defined as one in which there is no loss of kinetic energy and the momentum of the system is conserved in the collision.
- Inelastic or plastic collision: A inelastic collision is defined as one in which there is a loss of kinetic energy and the momentum of the system is conserved in the collision.
- In the plastic collision, the velocity of separation is always less than the velocity of approach
⇒ 0 < e < 1
- Perfectly inelastic collision or plastic collision: A collision between two bodies in which two bodies stick together after collision and then move as one body, is called a perfectly inelastic collision or plastic collision. In this type of interaction, the momentum of the system remains conserved and the loss of kinetic energy is maximum.
- So, for perfectly plastic collisions,
⇒ e = 0
- For perfectly elastic collision, energy is conserved, so the height rebounds by an object are some as the initial height
So, options 1, 3, and 4 are correct.
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Community Answer
Identify correct statement(s) about the coefficient of restitution e -...
Statement: If e = 0, The collision is perfectly elastic
Explanation:
When two objects collide, the coefficient of restitution (e) is a measure of the elasticity of the collision. It represents the ratio of the final relative velocity of separation to the initial relative velocity of approach.
A perfectly elastic collision is one in which kinetic energy is conserved. In this type of collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision. The coefficient of restitution for a perfectly elastic collision is 1.
Key Point: The coefficient of restitution (e) can range from 0 to 1.
Explanation of option B:
If e = 0, it means that the final relative velocity of separation is 0, while the initial relative velocity of approach is non-zero. This implies that the objects stick together after the collision and move with a common final velocity. Such a collision is called a perfectly plastic collision.
In a perfectly plastic collision, kinetic energy is not conserved. The objects deform and stick together, and some or all of the initial kinetic energy is converted into other forms of energy, such as heat or sound. Therefore, option C (If e = 0, the collision is perfectly plastic) is incorrect.
Conclusion:
Based on the above explanation, the correct statement is option B: If e = 0, the collision is perfectly elastic.
Explanation:
When two objects collide, the coefficient of restitution (e) is a measure of the elasticity of the collision. It represents the ratio of the final relative velocity of separation to the initial relative velocity of approach.
A perfectly elastic collision is one in which kinetic energy is conserved. In this type of collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision. The coefficient of restitution for a perfectly elastic collision is 1.
Key Point: The coefficient of restitution (e) can range from 0 to 1.
Explanation of option B:
If e = 0, it means that the final relative velocity of separation is 0, while the initial relative velocity of approach is non-zero. This implies that the objects stick together after the collision and move with a common final velocity. Such a collision is called a perfectly plastic collision.
In a perfectly plastic collision, kinetic energy is not conserved. The objects deform and stick together, and some or all of the initial kinetic energy is converted into other forms of energy, such as heat or sound. Therefore, option C (If e = 0, the collision is perfectly plastic) is incorrect.
Conclusion:
Based on the above explanation, the correct statement is option B: If e = 0, the collision is perfectly elastic.
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Identify correct statement(s) about the coefficient of restitution e -a)If e =1, The collision is perfectly elasticb)If e = 0, The collision is perfectly elasticc)If e = 0,The collision is perfectly plasticd)If e =1, Height before impact = Height after impactCorrect answer is option 'B'. Can you explain this answer?
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Identify correct statement(s) about the coefficient of restitution e -a)If e =1, The collision is perfectly elasticb)If e = 0, The collision is perfectly elasticc)If e = 0,The collision is perfectly plasticd)If e =1, Height before impact = Height after impactCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Identify correct statement(s) about the coefficient of restitution e -a)If e =1, The collision is perfectly elasticb)If e = 0, The collision is perfectly elasticc)If e = 0,The collision is perfectly plasticd)If e =1, Height before impact = Height after impactCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify correct statement(s) about the coefficient of restitution e -a)If e =1, The collision is perfectly elasticb)If e = 0, The collision is perfectly elasticc)If e = 0,The collision is perfectly plasticd)If e =1, Height before impact = Height after impactCorrect answer is option 'B'. Can you explain this answer?.
Identify correct statement(s) about the coefficient of restitution e -a)If e =1, The collision is perfectly elasticb)If e = 0, The collision is perfectly elasticc)If e = 0,The collision is perfectly plasticd)If e =1, Height before impact = Height after impactCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Identify correct statement(s) about the coefficient of restitution e -a)If e =1, The collision is perfectly elasticb)If e = 0, The collision is perfectly elasticc)If e = 0,The collision is perfectly plasticd)If e =1, Height before impact = Height after impactCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify correct statement(s) about the coefficient of restitution e -a)If e =1, The collision is perfectly elasticb)If e = 0, The collision is perfectly elasticc)If e = 0,The collision is perfectly plasticd)If e =1, Height before impact = Height after impactCorrect answer is option 'B'. Can you explain this answer?.
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