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What happens to the force between two objects if
I) the mass of object is doubled
ii) the distance between two objects is doubled and triple
iii) masses of both objects are doubled?
I) the mass of object is doubled
ii) the distance between two objects is doubled and triple
iii) masses of both objects are doubled?
Most Upvoted Answer
What happens to the force between two objects if I) the mass of object...
Effect of Doubling the Mass of One Object
When the mass of one object is doubled, the gravitational force between the two objects changes according to Newton's law of universal gravitation. This law states that the force is directly proportional to the product of their masses.
- Force Increases: If mass M1 is doubled (2M1), the force becomes F = G(2M1 * M2)/r². Thus, the force doubles.
Effect of Doubling and Tripling the Distance
Changing the distance between two objects significantly affects the gravitational force. The force is inversely proportional to the square of the distance.
- Doubling the Distance: If the distance r is doubled (2r), the force becomes F = G(M1 * M2)/(2r)² = G(M1 * M2)/4r². Thus, the force is reduced to one-fourth of the original force.
- Tripling the Distance: If the distance is tripled (3r), the force becomes F = G(M1 * M2)/(3r)² = G(M1 * M2)/9r². Thus, the force is reduced to one-ninth of the original force.
Effect of Doubling the Masses of Both Objects
When both masses are doubled, the gravitational force is affected similarly to the first scenario.
- Force Increases: If both masses M1 and M2 are doubled (2M1 and 2M2), the new force becomes F = G(2M1 * 2M2)/r² = 4G(M1 * M2)/r². Thus, the force quadruples.
In summary, doubling one mass doubles the force, while doubling both masses quadruples the force. Doubling the distance reduces the force to one-fourth, and tripling the distance reduces it to one-ninth.
When the mass of one object is doubled, the gravitational force between the two objects changes according to Newton's law of universal gravitation. This law states that the force is directly proportional to the product of their masses.
- Force Increases: If mass M1 is doubled (2M1), the force becomes F = G(2M1 * M2)/r². Thus, the force doubles.
Effect of Doubling and Tripling the Distance
Changing the distance between two objects significantly affects the gravitational force. The force is inversely proportional to the square of the distance.
- Doubling the Distance: If the distance r is doubled (2r), the force becomes F = G(M1 * M2)/(2r)² = G(M1 * M2)/4r². Thus, the force is reduced to one-fourth of the original force.
- Tripling the Distance: If the distance is tripled (3r), the force becomes F = G(M1 * M2)/(3r)² = G(M1 * M2)/9r². Thus, the force is reduced to one-ninth of the original force.
Effect of Doubling the Masses of Both Objects
When both masses are doubled, the gravitational force is affected similarly to the first scenario.
- Force Increases: If both masses M1 and M2 are doubled (2M1 and 2M2), the new force becomes F = G(2M1 * 2M2)/r² = 4G(M1 * M2)/r². Thus, the force quadruples.
In summary, doubling one mass doubles the force, while doubling both masses quadruples the force. Doubling the distance reduces the force to one-fourth, and tripling the distance reduces it to one-ninth.
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What happens to the force between two objects if I) the mass of object is doubled ii) the distance between two objects is doubled and triple iii) masses of both objects are doubled?
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What happens to the force between two objects if I) the mass of object is doubled ii) the distance between two objects is doubled and triple iii) masses of both objects are doubled? 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 What happens to the force between two objects if I) the mass of object is doubled ii) the distance between two objects is doubled and triple iii) masses of both objects are doubled? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens to the force between two objects if I) the mass of object is doubled ii) the distance between two objects is doubled and triple iii) masses of both objects are doubled?.
What happens to the force between two objects if I) the mass of object is doubled ii) the distance between two objects is doubled and triple iii) masses of both objects are doubled? 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 What happens to the force between two objects if I) the mass of object is doubled ii) the distance between two objects is doubled and triple iii) masses of both objects are doubled? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What happens to the force between two objects if I) the mass of object is doubled ii) the distance between two objects is doubled and triple iii) masses of both objects are doubled?.
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