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The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.?
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The gravitational force between two bodies of masses m1 and m2 separat...
The Effect of Increasing Mass on Gravitational Force
When considering the gravitational force between two bodies, the relationship is defined by Newton's law of universal gravitation. The formula for gravitational force (F) is given as:
F = G * (m1 * m2) / r²
where G is the gravitational constant.
Impact of Doubling m1
When m1 is increased to twice its original value (2m1), the effect on the gravitational force can be analyzed as follows:
1. New Gravitational Force Calculation
- The new mass is now 2m1.
- Substituting into the gravitational force formula:
New F = G * (2m1 * m2) / r²
2. Comparison with Original Force
- The original force was:
F = G * (m1 * m2) / r²
- The new force becomes:
New F = 2 * (G * (m1 * m2) / r²)
- Thus, New F = 2F
3. Conclusion
- The gravitational force effectively doubles when the mass m1 is increased to twice its original value.
- This demonstrates that gravitational force is directly proportional to the product of the masses involved.
Key Takeaway
- Doubling one mass increases the gravitational force by the same factor.
This illustrates the significant influence of mass on gravitational interactions between two objects.
When considering the gravitational force between two bodies, the relationship is defined by Newton's law of universal gravitation. The formula for gravitational force (F) is given as:
F = G * (m1 * m2) / r²
where G is the gravitational constant.
Impact of Doubling m1
When m1 is increased to twice its original value (2m1), the effect on the gravitational force can be analyzed as follows:
1. New Gravitational Force Calculation
- The new mass is now 2m1.
- Substituting into the gravitational force formula:
New F = G * (2m1 * m2) / r²
2. Comparison with Original Force
- The original force was:
F = G * (m1 * m2) / r²
- The new force becomes:
New F = 2 * (G * (m1 * m2) / r²)
- Thus, New F = 2F
3. Conclusion
- The gravitational force effectively doubles when the mass m1 is increased to twice its original value.
- This demonstrates that gravitational force is directly proportional to the product of the masses involved.
Key Takeaway
- Doubling one mass increases the gravitational force by the same factor.
This illustrates the significant influence of mass on gravitational interactions between two objects.
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The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.?
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The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.? 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 The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.?.
The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.? 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 The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gravitational force between two bodies of masses m1 and m2 separated by distance r is F. State the effect on the gravitational force when m1 increases twice.?.
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