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Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m calculate the gravitational force of between them?
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Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m ...
Understanding Gravitational Force
Gravitational force is the attractive force between two masses. The formula to calculate this force is given by Newton's law of universal gravitation:
F = G * (m1 * m2) / r²
Where:
- F = gravitational force
- G = gravitational constant (6.674 × 10^-11 N m²/kg²)
- m1 and m2 = masses of the two objects
- r = distance between the centers of the two masses
Given Values
- Mass of the first body (m1) = 5 kg
- Mass of the second body (m2) = 15 kg
- Distance between the bodies (r) = 5 m
Calculating Gravitational Force
1. Plugging values into the formula:
- F = (6.674 × 10^-11) * (5 * 15) / (5)²
2. Calculating the numerator:
- m1 * m2 = 5 * 15 = 75
- Therefore, F = (6.674 × 10^-11) * 75
3. Calculating the denominator:
- r² = 5² = 25
4. Final calculation:
- F = (6.674 × 10^-11 * 75) / 25
- F = (5.0055 × 10^-9) N
Conclusion
The gravitational force between the two bodies of masses 5 kg and 15 kg separated by a distance of 5 meters is approximately 5.0055 × 10^-9 N. This demonstrates that even small masses exert a minuscule gravitational pull on each other, which becomes significant with larger masses or smaller distances.
Gravitational force is the attractive force between two masses. The formula to calculate this force is given by Newton's law of universal gravitation:
F = G * (m1 * m2) / r²
Where:
- F = gravitational force
- G = gravitational constant (6.674 × 10^-11 N m²/kg²)
- m1 and m2 = masses of the two objects
- r = distance between the centers of the two masses
Given Values
- Mass of the first body (m1) = 5 kg
- Mass of the second body (m2) = 15 kg
- Distance between the bodies (r) = 5 m
Calculating Gravitational Force
1. Plugging values into the formula:
- F = (6.674 × 10^-11) * (5 * 15) / (5)²
2. Calculating the numerator:
- m1 * m2 = 5 * 15 = 75
- Therefore, F = (6.674 × 10^-11) * 75
3. Calculating the denominator:
- r² = 5² = 25
4. Final calculation:
- F = (6.674 × 10^-11 * 75) / 25
- F = (5.0055 × 10^-9) N
Conclusion
The gravitational force between the two bodies of masses 5 kg and 15 kg separated by a distance of 5 meters is approximately 5.0055 × 10^-9 N. This demonstrates that even small masses exert a minuscule gravitational pull on each other, which becomes significant with larger masses or smaller distances.
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Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m calculate the gravitational force of between them?
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Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m calculate the gravitational force of between them? 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 Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m calculate the gravitational force of between them? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of masses 5 kg and 15 kg are separated by a distance of 5m calculate the gravitational force of between them?.
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