Class 9 Exam > Class 9 Questions > Two bodies of equal weight are kept at height...
Start Learning for Free
Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:
a) 3 : 2
b) 2 : 3
c) 1 : 1
d) 4 : 3
The correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two bodies of equal weight are kept at heights of h and 1.5h, respecti...
Potential energy is mathematically defined as, P.E = mgh
Potential energy of body 1 = P.E1 = mgh1
Potential energy of body 2 = P.E2 = mgh2
Since weight of two bodies are equal, therefore, P.E1 / P. E2 = h / 1.5 h = 2:3
Potential energy of body 1 = P.E1 = mgh1
Potential energy of body 2 = P.E2 = mgh2
Since weight of two bodies are equal, therefore, P.E1 / P. E2 = h / 1.5 h = 2:3
Free Test
FREE
| Start Free Test |
Community Answer
Two bodies of equal weight are kept at heights of h and 1.5h, respecti...
Potential Energy and Height
The potential energy of an object is directly proportional to its height from a reference point. When two bodies of equal weight are kept at different heights, their potential energies can be compared using the ratio of their heights.
Given Information
- Two bodies have equal weight.
- The first body is at a height of 'h'.
- The second body is at a height of '1.5h'.
Finding the Ratio of Potential Energies
Let's consider the potential energy of the first body as 'PE1' and the potential energy of the second body as 'PE2'.
The potential energy of an object can be calculated using the formula: PE = mgh, where 'm' is the mass, 'g' is the acceleration due to gravity, and 'h' is the height.
Since the bodies have equal weight, their masses are also equal.
Therefore, the potential energy of the first body (PE1) can be calculated as PE1 = mgh and the potential energy of the second body (PE2) can be calculated as PE2 = mg(1.5h).
Calculating the Ratio
To find the ratio of their potential energies, we can divide PE2 by PE1:
Ratio = PE2 / PE1 = mg(1.5h) / mgh
The mass 'm' cancels out, leaving us with:
Ratio = (1.5h) / h = 1.5
Therefore, the ratio of their potential energies is 1.5 : 1, which can be simplified to 3 : 2.
Conclusion
The correct answer is option 'B', which states that the ratio of the potential energies is 2 : 3. This means that the potential energy of the body at 1.5h is 2/3 times the potential energy of the body at height h.
The potential energy of an object is directly proportional to its height from a reference point. When two bodies of equal weight are kept at different heights, their potential energies can be compared using the ratio of their heights.
Given Information
- Two bodies have equal weight.
- The first body is at a height of 'h'.
- The second body is at a height of '1.5h'.
Finding the Ratio of Potential Energies
Let's consider the potential energy of the first body as 'PE1' and the potential energy of the second body as 'PE2'.
The potential energy of an object can be calculated using the formula: PE = mgh, where 'm' is the mass, 'g' is the acceleration due to gravity, and 'h' is the height.
Since the bodies have equal weight, their masses are also equal.
Therefore, the potential energy of the first body (PE1) can be calculated as PE1 = mgh and the potential energy of the second body (PE2) can be calculated as PE2 = mg(1.5h).
Calculating the Ratio
To find the ratio of their potential energies, we can divide PE2 by PE1:
Ratio = PE2 / PE1 = mg(1.5h) / mgh
The mass 'm' cancels out, leaving us with:
Ratio = (1.5h) / h = 1.5
Therefore, the ratio of their potential energies is 1.5 : 1, which can be simplified to 3 : 2.
Conclusion
The correct answer is option 'B', which states that the ratio of the potential energies is 2 : 3. This means that the potential energy of the body at 1.5h is 2/3 times the potential energy of the body at height h.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer?
Question Description
Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer?.
Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer?.
Solutions for Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two bodies of equal weight are kept at heights of h and 1.5h, respectively. The ratio of their potential energies is:a) 3 : 2b) 2 : 3c) 1 : 1d) 4 : 3The correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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