Class 9 Exam > Class 9 Questions > The force of gravitation between two objects ...
Start Learning for Free
The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled?
Most Upvoted Answer
The force of gravitation between two objects is 'F'.a) How does the fo...
Gravitational force = {g.m.M}÷r.r
where m= mass of first object
M= mass of second object
g= gravitational constant
if distance between the bas reduced by 1/6th of distance then force becomes 36 times of its initial value
if mass of an object is tripled then force becomes 3 times of its initial value
where m= mass of first object
M= mass of second object
g= gravitational constant
if distance between the bas reduced by 1/6th of distance then force becomes 36 times of its initial value
if mass of an object is tripled then force becomes 3 times of its initial value
Community Answer
The force of gravitation between two objects is 'F'.a) How does the fo...
Effect of Distance on Gravitational Force
When the distance between two objects is reduced, the gravitational force changes according to Newton's law of universal gravitation, which states that the force of gravitation (F) between two masses (m1 and m2) is inversely proportional to the square of the distance (r) between their centers.
- If the distance is reduced to one sixth (r/6), the formula for gravitational force becomes:
F' = G * (m1 * m2) / (r/6)²
- This simplifies to:
F' = G * (m1 * m2) / (r²/36) = 36 * (G * (m1 * m2) / r²) = 36F
- Thus, the new force of gravitation is 36 times the original force (F).
Effect of Mass on Gravitational Force
When the mass of each object is tripled, the gravitational force also changes, as it is directly proportional to the product of the masses.
- If each mass is tripled (3m1 and 3m2), the new force becomes:
F'' = G * (3m1 * 3m2) / r²
- This simplifies to:
F'' = 9 * (G * (m1 * m2) / r²) = 9F
- Therefore, the new force of gravitation is 9 times the original force (F).
Summary
- Reducing the distance to one sixth increases the gravitational force by 36 times.
- Tripling the mass of each object increases the gravitational force by 9 times.
These principles highlight the strength of gravitational interactions based on distance and mass, illustrating the fundamental nature of gravitational forces in physics.
When the distance between two objects is reduced, the gravitational force changes according to Newton's law of universal gravitation, which states that the force of gravitation (F) between two masses (m1 and m2) is inversely proportional to the square of the distance (r) between their centers.
- If the distance is reduced to one sixth (r/6), the formula for gravitational force becomes:
F' = G * (m1 * m2) / (r/6)²
- This simplifies to:
F' = G * (m1 * m2) / (r²/36) = 36 * (G * (m1 * m2) / r²) = 36F
- Thus, the new force of gravitation is 36 times the original force (F).
Effect of Mass on Gravitational Force
When the mass of each object is tripled, the gravitational force also changes, as it is directly proportional to the product of the masses.
- If each mass is tripled (3m1 and 3m2), the new force becomes:
F'' = G * (3m1 * 3m2) / r²
- This simplifies to:
F'' = 9 * (G * (m1 * m2) / r²) = 9F
- Therefore, the new force of gravitation is 9 times the original force (F).
Summary
- Reducing the distance to one sixth increases the gravitational force by 36 times.
- Tripling the mass of each object increases the gravitational force by 9 times.
These principles highlight the strength of gravitational interactions based on distance and mass, illustrating the fundamental nature of gravitational forces in physics.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Question Description
The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled?.
The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled?.
Solutions for The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? 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 The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? defined & explained in the simplest way possible. Besides giving the explanation of
The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled?, a detailed solution for The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? has been provided alongside types of The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? theory, EduRev gives you an
ample number of questions to practice The force of gravitation between two objects is 'F'.a) How does the force of gravitation between two objects change when the distance between them is reduced to one sixth?b) How does this force change when the mass of each object is tripled? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup