JEE Exam > JEE Questions > The gravitational force between two objects e...
Start Learning for Free
The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will be
- a)F
- b)F/2
- c)2F
- d)4F
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The gravitational force between two objects each of mass m, separated ...
Gravitational Force between Two Objects
The gravitational force between two objects is given by the equation:
F = G * (m1 * m2) / r^2
where:
- F is the gravitational force
- G is the gravitational constant
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects
Given Parameters
In this problem, we are given the following parameters:
- Two objects with mass m each
- Separated by a distance r
Calculating the Gravitational Force
Let's calculate the gravitational force between the two objects using the given parameters:
F = G * (m * m) / r^2
Increasing the Mass and Distance
Now, let's consider the scenario where the masses of the two objects are doubled and the distance between them is also doubled:
- Mass of each object = 2m
- Distance between the objects = 2r
Calculating the New Gravitational Force
Using the new parameters, let's calculate the gravitational force between the two objects:
F' = G * (2m * 2m) / (2r)^2
= G * 4 * (m * m) / (4 * r^2)
= G * (m * m) / r^2
= F
Comparing the Forces
As we can see, the new gravitational force F' is equal to the original gravitational force F. Therefore, the correct answer is option 'A': F.
Explanation
The gravitational force between two objects depends on their masses and the distance between them. In this problem, when the masses of the objects are doubled and the distance between them is also doubled, the new gravitational force remains the same as the original force. This is because the effect of doubling the masses and doubling the distance cancels out each other, resulting in the same gravitational force as before.
The gravitational force between two objects is given by the equation:
F = G * (m1 * m2) / r^2
where:
- F is the gravitational force
- G is the gravitational constant
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects
Given Parameters
In this problem, we are given the following parameters:
- Two objects with mass m each
- Separated by a distance r
Calculating the Gravitational Force
Let's calculate the gravitational force between the two objects using the given parameters:
F = G * (m * m) / r^2
Increasing the Mass and Distance
Now, let's consider the scenario where the masses of the two objects are doubled and the distance between them is also doubled:
- Mass of each object = 2m
- Distance between the objects = 2r
Calculating the New Gravitational Force
Using the new parameters, let's calculate the gravitational force between the two objects:
F' = G * (2m * 2m) / (2r)^2
= G * 4 * (m * m) / (4 * r^2)
= G * (m * m) / r^2
= F
Comparing the Forces
As we can see, the new gravitational force F' is equal to the original gravitational force F. Therefore, the correct answer is option 'A': F.
Explanation
The gravitational force between two objects depends on their masses and the distance between them. In this problem, when the masses of the objects are doubled and the distance between them is also doubled, the new gravitational force remains the same as the original force. This is because the effect of doubling the masses and doubling the distance cancels out each other, resulting in the same gravitational force as before.
Free Test
FREE
| Start Free Test |
Community Answer
The gravitational force between two objects each of mass m, separated ...
Gravitational force between two objects is mathematically represented as:
F = G * (m1*m2) / r2
Applying the Law of Gravitation to the Given Problem
Given that the initial force F is due to two objects each of mass m separated by a distance r.
Substituting these into the formula gives:
F = G * (m*m) / r2
The problem then states that the mass of each of the objects is doubled (to 2m) and the distance between them is also doubled (to 2r).
The new force F' using these values in the formula would be: F' = G * (2m*2m) / (2r)2
Simplifying this gives:
F' = 4G * (m*m) / 4*r2
This simplifies further to:
F' = G * (m*m) / r2
Comparing this with the original equation for F, we find that:
F' = F
Thus, the force remains the same (F) even when the mass of each of the objects is doubled and the distance between them is also doubled. Hence, the correct answer is A: F.
F = G * (m1*m2) / r2
Applying the Law of Gravitation to the Given Problem
Given that the initial force F is due to two objects each of mass m separated by a distance r.
Substituting these into the formula gives:
F = G * (m*m) / r2
The problem then states that the mass of each of the objects is doubled (to 2m) and the distance between them is also doubled (to 2r).
The new force F' using these values in the formula would be: F' = G * (2m*2m) / (2r)2
Simplifying this gives:
F' = 4G * (m*m) / 4*r2
This simplifies further to:
F' = G * (m*m) / r2
Comparing this with the original equation for F, we find that:
F' = F
Thus, the force remains the same (F) even when the mass of each of the objects is doubled and the distance between them is also doubled. Hence, the correct answer is A: F.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer?
Question Description
The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer?.
The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will bea)Fb)F/2c)2Fd)4FCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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