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Oh bodies you're one and young to experience a gravitational force of magnitude one point six into ten power minus seven new ten determine the distance of separation between the bodies if their masses are forty k g under thirty five k g respectively?
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Oh bodies you're one and young to experience a gravitational force of ...
Understanding Gravitational Force
The gravitational force (F) between two masses (m1 and m2) is given by the formula:
F = G * (m1 * m2) / r²
Where:
- F is the gravitational force,
- G is the gravitational constant (6.674 × 10^-11 N m²/kg²),
- m1 and m2 are the masses, and
- r is the distance of separation.
Given Values
- F = 1.6 × 10^-7 N
- m1 = 40 kg
- m2 = 35 kg
- G = 6.674 × 10^-11 N m²/kg²
Rearranging the Formula
To find the distance (r), we can rearrange the formula:
r² = G * (m1 * m2) / F
Therefore:
r = sqrt(G * (m1 * m2) / F)
Calculating the Distance
1. Calculate m1 * m2:
- m1 * m2 = 40 kg * 35 kg = 1400 kg²
2. Calculating G * (m1 * m2):
- G * (m1 * m2) = 6.674 × 10^-11 N m²/kg² * 1400 kg² = 9.34076 × 10^-8 N m²
3. Now, divide by F:
- (G * (m1 * m2)) / F = 9.34076 × 10^-8 N m² / 1.6 × 10^-7 N = 0.58379 m²
4. Taking the square root gives:
- r = sqrt(0.58379 m²) ≈ 0.764 m
Conclusion
The distance of separation between the two bodies is approximately 0.764 meters. This calculation demonstrates the relationship between mass and distance in gravitational forces.
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Oh bodies you're one and young to experience a gravitational force of magnitude one point six into ten power minus seven new ten determine the distance of separation between the bodies if their masses are forty k g under thirty five k g respectively?
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Oh bodies you're one and young to experience a gravitational force of magnitude one point six into ten power minus seven new ten determine the distance of separation between the bodies if their masses are forty k g under thirty five k g respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Oh bodies you're one and young to experience a gravitational force of magnitude one point six into ten power minus seven new ten determine the distance of separation between the bodies if their masses are forty k g under thirty five k g respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Oh bodies you're one and young to experience a gravitational force of magnitude one point six into ten power minus seven new ten determine the distance of separation between the bodies if their masses are forty k g under thirty five k g respectively?.
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