Physics Exam > Physics Questions > One end of an unstretched vertical spring is ...
Start Learning for Free
One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. If S be gain in spring energy and G be loss in gravitational potential energy in the process, then which of the following is false.
- a)S = 2G
- b)S = G
- c)S = 3G
- d)G = 2S
Correct answer is option 'A,B,C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
One end of an unstretched vertical spring is attached to the ceiling a...
(loss in gravitationl potential energy)⇒ G = 2S
The correct answers are: S = G, S = 2G, S = 3G
Most Upvoted Answer
One end of an unstretched vertical spring is attached to the ceiling a...
Explanation:
Given:
- One end of an unstretched vertical spring is attached to the ceiling.
- An object attached to the other end is slowly lowered to its equilibrium position.
To find:
- The false statement among the options regarding the gain in spring energy (S) and loss in gravitational potential energy (G).
Explanation:
When an object is lowered from the ceiling to its equilibrium position, the spring stretches, gaining elastic potential energy, and the object loses gravitational potential energy.
Formula:
The potential energy stored in a spring (Us) is given by the formula:
Us = (1/2)kx^2
where k is the spring constant and x is the displacement of the spring from its equilibrium position.
The gravitational potential energy (Ug) of an object near the Earth's surface is given by the formula:
Ug = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the vertical height of the object.
Analysis of the options:
a) S = 2G
b) S = G
c) S = 3G
d) G = 2S
Let's analyze each option:
a) S = 2G
If S = 2G, it means the gain in spring energy is twice the loss in gravitational potential energy. This statement is possible and can occur if the spring constant (k) is such that the spring is stiffer than normal. Therefore, option a) can be true, and it does not satisfy the condition of being a false statement.
b) S = G
If S = G, it means the gain in spring energy is equal to the loss in gravitational potential energy. This statement is possible and likely to occur when the object is lowered slowly and smoothly, without any external forces acting on it. Therefore, option b) can be true, and it does not satisfy the condition of being a false statement.
c) S = 3G
If S = 3G, it means the gain in spring energy is three times the loss in gravitational potential energy. This statement is possible and can occur if the spring constant (k) is such that the spring is softer than normal. Therefore, option c) can be true, and it does not satisfy the condition of being a false statement.
d) G = 2S
If G = 2S, it means the loss in gravitational potential energy is twice the gain in spring energy. This statement is not possible as the loss in gravitational potential energy is always equal to or greater than the gain in spring energy. Therefore, option d) is false.
Conclusion:
The false statement among the given options is d) G = 2S.
Given:
- One end of an unstretched vertical spring is attached to the ceiling.
- An object attached to the other end is slowly lowered to its equilibrium position.
To find:
- The false statement among the options regarding the gain in spring energy (S) and loss in gravitational potential energy (G).
Explanation:
When an object is lowered from the ceiling to its equilibrium position, the spring stretches, gaining elastic potential energy, and the object loses gravitational potential energy.
Formula:
The potential energy stored in a spring (Us) is given by the formula:
Us = (1/2)kx^2
where k is the spring constant and x is the displacement of the spring from its equilibrium position.
The gravitational potential energy (Ug) of an object near the Earth's surface is given by the formula:
Ug = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the vertical height of the object.
Analysis of the options:
a) S = 2G
b) S = G
c) S = 3G
d) G = 2S
Let's analyze each option:
a) S = 2G
If S = 2G, it means the gain in spring energy is twice the loss in gravitational potential energy. This statement is possible and can occur if the spring constant (k) is such that the spring is stiffer than normal. Therefore, option a) can be true, and it does not satisfy the condition of being a false statement.
b) S = G
If S = G, it means the gain in spring energy is equal to the loss in gravitational potential energy. This statement is possible and likely to occur when the object is lowered slowly and smoothly, without any external forces acting on it. Therefore, option b) can be true, and it does not satisfy the condition of being a false statement.
c) S = 3G
If S = 3G, it means the gain in spring energy is three times the loss in gravitational potential energy. This statement is possible and can occur if the spring constant (k) is such that the spring is softer than normal. Therefore, option c) can be true, and it does not satisfy the condition of being a false statement.
d) G = 2S
If G = 2S, it means the loss in gravitational potential energy is twice the gain in spring energy. This statement is not possible as the loss in gravitational potential energy is always equal to or greater than the gain in spring energy. Therefore, option d) is false.
Conclusion:
The false statement among the given options is d) G = 2S.
Free Test
FREE
| Start Free Test |
Community Answer
One end of an unstretched vertical spring is attached to the ceiling a...
(loss in gravitationl potential energy)⇒ G = 2S
The correct answers are: S = G, S = 2G, S = 3G
|
Explore Courses for Physics exam
|
|
One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer?
Question Description
One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer?.
One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer?.
Solutions for One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice One end of an unstretched vertical spring is attached to the ceiling and an object attached to the other end is slowly lowered to its equilibrium position. IfSbe gain in spring energy andGbe loss in gravitational potential energy in the process, then which of the following is false.a)S= 2Gb)S=Gc)S= 3Gd)G= 2SCorrect answer is option 'A,B,C'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup