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The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2?
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The gravitational force between 2 bodies of m1 and m2 is found out To ...
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 is the gravitational force,
- G is the gravitational constant (approximately 6.674 × 10^-11 N m²/kg²),
- m1 and m2 are the masses of the two bodies,
- r is the distance between the centers of the two masses.
Given Data
- Gravitational Force (F) = 2.08 × 10^-6 N
- Distance (r) = 1.8 m
- Mass of m1 = 860.50 kg
Calculating Mass of m2
To find the mass m2, we can rearrange the formula for gravitational force:
m2 = (F * r^2) / (G * m1)
Now substituting the values into the equation:
- Gravitational Constant (G) = 6.674 × 10^-11 N m²/kg²
- F = 2.08 × 10^-6 N
- r = 1.8 m
- m1 = 860.50 kg
Calculation Steps
1. Calculate r^2:
- r^2 = 1.8^2 = 3.24 m²
2. Substitute values into the rearranged formula:
- m2 = (2.08 × 10^-6 N * 3.24 m²) / (6.674 × 10^-11 N m²/kg² * 860.50 kg)
3. Perform the multiplication and division to find m2.
Result
After performing the calculation, you will find the value of m2, which allows for a complete understanding of the gravitational interaction between the two masses at the specified distance.
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 is the gravitational force,
- G is the gravitational constant (approximately 6.674 × 10^-11 N m²/kg²),
- m1 and m2 are the masses of the two bodies,
- r is the distance between the centers of the two masses.
Given Data
- Gravitational Force (F) = 2.08 × 10^-6 N
- Distance (r) = 1.8 m
- Mass of m1 = 860.50 kg
Calculating Mass of m2
To find the mass m2, we can rearrange the formula for gravitational force:
m2 = (F * r^2) / (G * m1)
Now substituting the values into the equation:
- Gravitational Constant (G) = 6.674 × 10^-11 N m²/kg²
- F = 2.08 × 10^-6 N
- r = 1.8 m
- m1 = 860.50 kg
Calculation Steps
1. Calculate r^2:
- r^2 = 1.8^2 = 3.24 m²
2. Substitute values into the rearranged formula:
- m2 = (2.08 × 10^-6 N * 3.24 m²) / (6.674 × 10^-11 N m²/kg² * 860.50 kg)
3. Perform the multiplication and division to find m2.
Result
After performing the calculation, you will find the value of m2, which allows for a complete understanding of the gravitational interaction between the two masses at the specified distance.
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The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2?
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The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2?.
The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The gravitational force between 2 bodies of m1 and m2 is found out To be 2.08 × 10 power −6 N then they are replaced 1.8 m apart give the value of m1 is equal to 860.50kg then what should be the value of m2?.
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