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A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.
- a)Same as the original spring
- b)1.25 times the original spring
- c)0.8 times the original spring
- d)0.5 times the. original spring
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A spring with 25, active Coils cannot be accommodated within a given s...
As we know, k ∝ 1/n
∴
⇒ k2 = 1.25 k1
∴
⇒ k2 = 1.25 k1
Most Upvoted Answer
A spring with 25, active Coils cannot be accommodated within a given s...
Given information:
- The original spring has 25 active coils.
- The given space cannot accommodate the original spring.
- 5 coils of the spring are cut.
To find:
The stiffness of the new spring.
Solution:
1. Relationship between stiffness and number of coils:
The stiffness of a spring is directly proportional to the number of active coils. When coils are cut, the stiffness decreases.
2. Calculation of the original stiffness:
Since the original spring has 25 active coils, we can assume that the original stiffness is 1.
3. Calculation of the new stiffness:
When 5 coils are cut from the original spring, the new number of active coils becomes 25 - 5 = 20.
Now, let's assume the stiffness of the new spring is 'x'.
Since the original stiffness is 1 and the new number of coils is 20, we can set up the following proportion:
1/25 = x/20
4. Solving the proportion:
Cross-multiplying the proportion, we get:
25x = 20
Dividing both sides by 25, we get:
x = 20/25
Simplifying further, we get:
x = 4/5 = 0.8
Conclusion:
Therefore, the stiffness of the new spring is 0.8 times the original spring, option 'C' is the correct answer.
- The original spring has 25 active coils.
- The given space cannot accommodate the original spring.
- 5 coils of the spring are cut.
To find:
The stiffness of the new spring.
Solution:
1. Relationship between stiffness and number of coils:
The stiffness of a spring is directly proportional to the number of active coils. When coils are cut, the stiffness decreases.
2. Calculation of the original stiffness:
Since the original spring has 25 active coils, we can assume that the original stiffness is 1.
3. Calculation of the new stiffness:
When 5 coils are cut from the original spring, the new number of active coils becomes 25 - 5 = 20.
Now, let's assume the stiffness of the new spring is 'x'.
Since the original stiffness is 1 and the new number of coils is 20, we can set up the following proportion:
1/25 = x/20
4. Solving the proportion:
Cross-multiplying the proportion, we get:
25x = 20
Dividing both sides by 25, we get:
x = 20/25
Simplifying further, we get:
x = 4/5 = 0.8
Conclusion:
Therefore, the stiffness of the new spring is 0.8 times the original spring, option 'C' is the correct answer.
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A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.a)Same as the original springb)1.25 times the original springc)0.8 times the original springd)0.5 times the. original springCorrect answer is option 'B'. Can you explain this answer?
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A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.a)Same as the original springb)1.25 times the original springc)0.8 times the original springd)0.5 times the. original springCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.a)Same as the original springb)1.25 times the original springc)0.8 times the original springd)0.5 times the. original springCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.a)Same as the original springb)1.25 times the original springc)0.8 times the original springd)0.5 times the. original springCorrect answer is option 'B'. Can you explain this answer?.
A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.a)Same as the original springb)1.25 times the original springc)0.8 times the original springd)0.5 times the. original springCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.a)Same as the original springb)1.25 times the original springc)0.8 times the original springd)0.5 times the. original springCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spring with 25, active Coils cannot be accommodated within a given space. Hence 5 coils of the spring are cut. What is the stiffness of the new spring.a)Same as the original springb)1.25 times the original springc)0.8 times the original springd)0.5 times the. original springCorrect answer is option 'B'. Can you explain this answer?.
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