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Two springs, having spring constants of 25 N-m⁻1 and 16 N-m⁻1are stretched by forces F₁ and F₂.If work done in stretching the springs is equal, then the ratio of the forces F₁ and F₂ is
- a)4/5
- b)5/4
- c)16/25
- d)25/16
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two springs, having spring constants of 25 N-m1and 16 N-m1are stretche...
Given:
Spring constant of First spring, k1 = 25 N/m
Spring constant of Second spring, k2 = 16 N/m
Force applied on First spring, F1
Force applied on Second spring, F2
To find: Ratio of forces F1 and F2
Solution:
We know that the work done in stretching a spring is given by the formula:
W = (1/2) kx²
Where,
W = Work done
k = Spring constant
x = Extension of the spring
Since the work done is equal for both the springs, we can write:
(1/2) k1 x1² = (1/2) k2 x2²
Dividing both sides by (1/2) x1², we get:
k1/k2 = x1²/x2²
Since the extension is directly proportional to the force applied, we can write:
x1/x2 = F1/F2
Therefore,
F1/F2 = sqrt(k1/k2)
Substituting the given values, we get:
F1/F2 = sqrt(25/16) = 5/4
Hence, the ratio of forces F1 and F2 is 5/4.
Therefore, the correct answer is option B.
Spring constant of First spring, k1 = 25 N/m
Spring constant of Second spring, k2 = 16 N/m
Force applied on First spring, F1
Force applied on Second spring, F2
To find: Ratio of forces F1 and F2
Solution:
We know that the work done in stretching a spring is given by the formula:
W = (1/2) kx²
Where,
W = Work done
k = Spring constant
x = Extension of the spring
Since the work done is equal for both the springs, we can write:
(1/2) k1 x1² = (1/2) k2 x2²
Dividing both sides by (1/2) x1², we get:
k1/k2 = x1²/x2²
Since the extension is directly proportional to the force applied, we can write:
x1/x2 = F1/F2
Therefore,
F1/F2 = sqrt(k1/k2)
Substituting the given values, we get:
F1/F2 = sqrt(25/16) = 5/4
Hence, the ratio of forces F1 and F2 is 5/4.
Therefore, the correct answer is option B.
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Community Answer
Two springs, having spring constants of 25 N-m1and 16 N-m1are stretche...
W= 1/2 .kx^2 as, work is same so equate them..
1/2. k1x1^2 = 1/2. k2x2^2 putting value we get => x1/x2= 4/5. then using F=kx. take ratio..... F1/F2= k1x1/ k2x2.. => F1/F2= 25x 4/16×5 => F1/F2= 5/4.
1/2. k1x1^2 = 1/2. k2x2^2 putting value we get => x1/x2= 4/5. then using F=kx. take ratio..... F1/F2= k1x1/ k2x2.. => F1/F2= 25x 4/16×5 => F1/F2= 5/4.
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Two springs, having spring constants of 25 N-m1and 16 N-m1are stretched by forces F and F.If work done in stretching the springs is equal, then the ratio of the forces F and F isa)4/5b)5/4c)16/25d)25/16Correct answer is option 'B'. Can you explain this answer?
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Two springs, having spring constants of 25 N-m1and 16 N-m1are stretched by forces F and F.If work done in stretching the springs is equal, then the ratio of the forces F and F isa)4/5b)5/4c)16/25d)25/16Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two springs, having spring constants of 25 N-m1and 16 N-m1are stretched by forces F and F.If work done in stretching the springs is equal, then the ratio of the forces F and F isa)4/5b)5/4c)16/25d)25/16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two springs, having spring constants of 25 N-m1and 16 N-m1are stretched by forces F and F.If work done in stretching the springs is equal, then the ratio of the forces F and F isa)4/5b)5/4c)16/25d)25/16Correct answer is option 'B'. Can you explain this answer?.
Two springs, having spring constants of 25 N-m1and 16 N-m1are stretched by forces F and F.If work done in stretching the springs is equal, then the ratio of the forces F and F isa)4/5b)5/4c)16/25d)25/16Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two springs, having spring constants of 25 N-m1and 16 N-m1are stretched by forces F and F.If work done in stretching the springs is equal, then the ratio of the forces F and F isa)4/5b)5/4c)16/25d)25/16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two springs, having spring constants of 25 N-m1and 16 N-m1are stretched by forces F and F.If work done in stretching the springs is equal, then the ratio of the forces F and F isa)4/5b)5/4c)16/25d)25/16Correct answer is option 'B'. Can you explain this answer?.
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