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Two objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force between them?
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Two objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart...
Calculation of the Force between Two Objects
To calculate the force between two objects, we need to use Newton's Law of Universal Gravitation. According to this law, the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula for the gravitational force (F) is given by:
F = G * (m1 * m2) / r^2
Where:
F is the force of attraction between the objects,
G is the gravitational constant (6.67430 × 10^-11 N m^2/kg^2),
m1 and m2 are the masses of the objects, and
r is the distance between the objects.
Given Data:
Mass of first object (m1) = 3.2 × 10^6 kg
Mass of second object (m2) = 3.2 × 10^7 kg
Distance between the objects (r) = 100 km = 100,000 m
Calculation:
Substituting the given values into the formula, we have:
F = (6.67430 × 10^-11 N m^2/kg^2) * (3.2 × 10^6 kg * 3.2 × 10^7 kg) / (100,000 m)^2
Simplifying the expression, we get:
F = (6.67430 × 10^-11 N m^2/kg^2) * (3.2 × 10^6 * 3.2 × 10^7) / (100,000)^2
F = (6.67430 × 10^-11 N m^2/kg^2) * (10.24 × 10^13) / 10,000,000,000
F = (6.67430 × 10^-11 N m^2/kg^2) * 1.024
F = 6.827 × 10^-11 N
Explanation:
The force of attraction between the two objects is approximately 6.827 × 10^-11 N. This means that the two objects are exerting a gravitational force on each other, pulling each other closer. The force is relatively small due to the large distance between the objects and the relatively small masses of the objects.
Gravitational force is a fundamental force of nature that affects all objects with mass. It is responsible for holding celestial bodies, such as planets and moons, in their orbits around each other. In this case, the force between the two objects is relatively weak due to their large separation distance and smaller masses compared to celestial bodies.
It is important to note that the force of attraction between two objects decreases rapidly with increasing distance and is directly proportional to the product of their masses. Therefore, the force between two objects can be significantly larger if the masses are increased or the distance between them is decreased.
To calculate the force between two objects, we need to use Newton's Law of Universal Gravitation. According to this law, the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. The formula for the gravitational force (F) is given by:
F = G * (m1 * m2) / r^2
Where:
F is the force of attraction between the objects,
G is the gravitational constant (6.67430 × 10^-11 N m^2/kg^2),
m1 and m2 are the masses of the objects, and
r is the distance between the objects.
Given Data:
Mass of first object (m1) = 3.2 × 10^6 kg
Mass of second object (m2) = 3.2 × 10^7 kg
Distance between the objects (r) = 100 km = 100,000 m
Calculation:
Substituting the given values into the formula, we have:
F = (6.67430 × 10^-11 N m^2/kg^2) * (3.2 × 10^6 kg * 3.2 × 10^7 kg) / (100,000 m)^2
Simplifying the expression, we get:
F = (6.67430 × 10^-11 N m^2/kg^2) * (3.2 × 10^6 * 3.2 × 10^7) / (100,000)^2
F = (6.67430 × 10^-11 N m^2/kg^2) * (10.24 × 10^13) / 10,000,000,000
F = (6.67430 × 10^-11 N m^2/kg^2) * 1.024
F = 6.827 × 10^-11 N
Explanation:
The force of attraction between the two objects is approximately 6.827 × 10^-11 N. This means that the two objects are exerting a gravitational force on each other, pulling each other closer. The force is relatively small due to the large distance between the objects and the relatively small masses of the objects.
Gravitational force is a fundamental force of nature that affects all objects with mass. It is responsible for holding celestial bodies, such as planets and moons, in their orbits around each other. In this case, the force between the two objects is relatively weak due to their large separation distance and smaller masses compared to celestial bodies.
It is important to note that the force of attraction between two objects decreases rapidly with increasing distance and is directly proportional to the product of their masses. Therefore, the force between two objects can be significantly larger if the masses are increased or the distance between them is decreased.
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Two objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force between them?
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Two objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force 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 objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force between them? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force between them?.
Two objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force 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 objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force between them? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two objects of masses 3.2×10 power6 and 3.2× 10 power7 kg 100 km apart find the force between them?.
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