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If the distance between two masses be doubled, the gravitational force of attraction between them will be
- a)Doubled
- b)Four Times
- c)Halved
- d)One - Fourth
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If the distance between two masses be doubled, the gravitational force...
Explanation:
The gravitational force of attraction between two masses is given by the formula:
F = G * (m1 * m2) / r^2
Where:
F = Gravitational force of attraction
G = Gravitational constant
m1, m2 = Masses of the two objects
r = Distance between the centers of the two masses
Effect of doubling the distance:
When the distance between two masses is doubled, the new distance becomes 2r. Substituting this new distance into the formula, we get:
F' = G * (m1 * m2) / (2r)^2 = G * (m1 * m2) / 4r^2 = F / 4
This shows that the new gravitational force of attraction (F') is one-fourth of the original force (F) when the distance between the two masses is doubled.
Therefore, when the distance between two masses is doubled, the gravitational force of attraction between them will be one-fourth of the original force.
The gravitational force of attraction between two masses is given by the formula:
F = G * (m1 * m2) / r^2
Where:
F = Gravitational force of attraction
G = Gravitational constant
m1, m2 = Masses of the two objects
r = Distance between the centers of the two masses
Effect of doubling the distance:
When the distance between two masses is doubled, the new distance becomes 2r. Substituting this new distance into the formula, we get:
F' = G * (m1 * m2) / (2r)^2 = G * (m1 * m2) / 4r^2 = F / 4
This shows that the new gravitational force of attraction (F') is one-fourth of the original force (F) when the distance between the two masses is doubled.
Therefore, when the distance between two masses is doubled, the gravitational force of attraction between them will be one-fourth of the original force.
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If the distance between two masses be doubled, the gravitational force of attraction between them will bea)Doubledb)Four Timesc)Halvedd)One - FourthCorrect answer is option 'D'. Can you explain this answer?
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If the distance between two masses be doubled, the gravitational force of attraction between them will bea)Doubledb)Four Timesc)Halvedd)One - FourthCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If the distance between two masses be doubled, the gravitational force of attraction between them will bea)Doubledb)Four Timesc)Halvedd)One - FourthCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the distance between two masses be doubled, the gravitational force of attraction between them will bea)Doubledb)Four Timesc)Halvedd)One - FourthCorrect answer is option 'D'. Can you explain this answer?.
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