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the gravitational force between two bodies is 'F' newton . if mass of each body and the distance between them are double then what will be the gravitational force between them( in Newton)
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the gravitational force between two bodies is 'F' newton . if mass of ...
If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.
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the gravitational force between two bodies is 'F' newton . if mass of ...
Let the force be 'F'
given mass is doubled and distance is also doubled , let masses be 2M and distance be 2D
subsituting the values in GMM/r^2 , G 2M*2M/ (2D)^2 = G 4M/ 4D^2
=> force will remain unchanged as both mass and distance will get cancel
Community Answer
the gravitational force between two bodies is 'F' newton . if mass of ...
Understanding Gravitational Force
The gravitational force between two masses is determined by Newton's Law of Universal Gravitation, which can be expressed as:
F = G * (m1 * m2) / r^2
Where:
- F = gravitational force
- G = gravitational constant
- m1 and m2 = masses of the two bodies
- r = distance between the centers of the two bodies
Scenario Overview
In the given scenario:
- The initial gravitational force is 'F' Newton.
- Both masses (m1 and m2) are doubled.
- The distance (r) between them is also doubled.
Calculating New Gravitational Force
1. Doubling the Masses:
- New mass of each body = 2m1 and 2m2.
- The product of the masses becomes (2m1) * (2m2) = 4 * (m1 * m2).
2. Doubling the Distance:
- New distance = 2r.
- The square of the distance becomes (2r)^2 = 4 * r^2.
3. New Gravitational Force:
- Replacing the values in the formula, we have:
New F = G * (4 * m1 * m2) / (4 * r^2)
4. Simplification:
- The 4 in the numerator and denominator cancels out:
New F = G * (m1 * m2) / r^2
Conclusion
Thus, the new gravitational force remains:
New F = F
So, the gravitational force remains the same at 'F' Newton despite the changes in mass and distance.
The gravitational force between two masses is determined by Newton's Law of Universal Gravitation, which can be expressed as:
F = G * (m1 * m2) / r^2
Where:
- F = gravitational force
- G = gravitational constant
- m1 and m2 = masses of the two bodies
- r = distance between the centers of the two bodies
Scenario Overview
In the given scenario:
- The initial gravitational force is 'F' Newton.
- Both masses (m1 and m2) are doubled.
- The distance (r) between them is also doubled.
Calculating New Gravitational Force
1. Doubling the Masses:
- New mass of each body = 2m1 and 2m2.
- The product of the masses becomes (2m1) * (2m2) = 4 * (m1 * m2).
2. Doubling the Distance:
- New distance = 2r.
- The square of the distance becomes (2r)^2 = 4 * r^2.
3. New Gravitational Force:
- Replacing the values in the formula, we have:
New F = G * (4 * m1 * m2) / (4 * r^2)
4. Simplification:
- The 4 in the numerator and denominator cancels out:
New F = G * (m1 * m2) / r^2
Conclusion
Thus, the new gravitational force remains:
New F = F
So, the gravitational force remains the same at 'F' Newton despite the changes in mass and distance.
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the gravitational force between two bodies is 'F' newton . if mass of each body and the distance between them are double then what will be the gravitational force between them( in Newton) 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 gravitational force between two bodies is 'F' newton . if mass of each body and the distance between them are double then what will be the gravitational force between them( in Newton) covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the gravitational force between two bodies is 'F' newton . if mass of each body and the distance between them are double then what will be the gravitational force between them( in Newton).
the gravitational force between two bodies is 'F' newton . if mass of each body and the distance between them are double then what will be the gravitational force between them( in Newton) 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 gravitational force between two bodies is 'F' newton . if mass of each body and the distance between them are double then what will be the gravitational force between them( in Newton) covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the gravitational force between two bodies is 'F' newton . if mass of each body and the distance between them are double then what will be the gravitational force between them( in Newton).
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