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2 bodies m1 and m2 experience a gravitational force Off magnitude one point six into ten power minus seven new ten determine that distance of separation with betwin the two bodies if their masses are forty k g and thirty-five k respectively?
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2 bodies m1 and m2 experience a gravitational force Off magnitude one ...
Understanding Gravitational Force
The gravitational force between two masses can be calculated using Newton's law of universal gravitation. The formula is given by:
F = G * (m1 * m2) / r^2
Where:
- F = gravitational force
- G = gravitational constant (6.674 × 10^-11 N(m/kg)^2)
- m1 and m2 = masses of the two bodies
- r = distance between the centers of the two masses
Given Values
- F = 1.6 × 10^-7 N
- m1 = 40 kg
- m2 = 35 kg
Calculating the Distance (r)
To find the distance (r) of separation between the two masses, we can rearrange the formula:
r^2 = G * (m1 * m2) / F
Insert the Values
- G = 6.674 × 10^-11 N(m/kg)^2
- m1 = 40 kg
- m2 = 35 kg
- F = 1.6 × 10^-7 N
Calculation Steps
1. Calculate m1 * m2:
- 40 kg * 35 kg = 1400 kg^2
2. Calculate G * (m1 * m2):
- 6.674 × 10^-11 * 1400 = 9.3416 × 10^-8 N(m/kg)^2
3. Calculate r^2:
- r^2 = (9.3416 × 10^-8) / (1.6 × 10^-7)
- r^2 = 0.58385 m^2
4. Find r:
- r = √0.58385 ≈ 0.764 m
Conclusion
The distance of separation between the two bodies, m1 and m2, is approximately 0.764 meters. This conclusion highlights the inverse relationship between the gravitational force and the distance separating two masses.
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2 bodies m1 and m2 experience a gravitational force Off magnitude one point six into ten power minus seven new ten determine that distance of separation with betwin the two bodies if their masses are forty k g and thirty-five k respectively?
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2 bodies m1 and m2 experience a gravitational force Off magnitude one point six into ten power minus seven new ten determine that distance of separation with betwin the two bodies if their masses are forty k g and thirty-five k respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2 bodies m1 and m2 experience a gravitational force Off magnitude one point six into ten power minus seven new ten determine that distance of separation with betwin the two bodies if their masses are forty k g and thirty-five k respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 bodies m1 and m2 experience a gravitational force Off magnitude one point six into ten power minus seven new ten determine that distance of separation with betwin the two bodies if their masses are forty k g and thirty-five k respectively?.
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