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The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.?
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The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 k...
The Force exerted by the Sun on the Earth
The force exerted by the Sun on the Earth can be calculated using Newton's law of universal gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
Where:
F is the force between the two objects,
G is the gravitational constant (approximately 6.67 * 10^-11 Nm^2/kg^2),
m1 is the mass of the first object,
m2 is the mass of the second object, and
r is the distance between the centers of the two objects.
Given data:
Mass of the Sun (m1) = 2 * 10^30 kg
Mass of the Earth (m2) = 6 * 10^24 kg
Distance between the Sun and the Earth (r) = 1.5 * 10^11 m
Substituting the given values into the formula:
F = (6.67 * 10^-11 Nm^2/kg^2) * ((2 * 10^30 kg) * (6 * 10^24 kg)) / (1.5 * 10^11 m)^2
Calculating the value:
F = (6.67 * 2 * 6) * (10^-11 * 10^30 * 10^24) / (1.5 * 10^11)^2
= 80 * (10^3) / (2.25 * 10^22)
= 35.56 * 10^3 / 2.25
= 15.8 * 10^3 N
Therefore, the force exerted by the Sun on the Earth is approximately 15.8 * 10^3 Newtons.
The Force exerted by the Earth on the Sun
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. Therefore, the force exerted by the Earth on the Sun will be the same magnitude as the force exerted by the Sun on the Earth, but in the opposite direction.
Hence, the force exerted by the Earth on the Sun is also approximately 15.8 * 10^3 Newtons.
The force exerted by the Sun on the Earth can be calculated using Newton's law of universal gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
Where:
F is the force between the two objects,
G is the gravitational constant (approximately 6.67 * 10^-11 Nm^2/kg^2),
m1 is the mass of the first object,
m2 is the mass of the second object, and
r is the distance between the centers of the two objects.
Given data:
Mass of the Sun (m1) = 2 * 10^30 kg
Mass of the Earth (m2) = 6 * 10^24 kg
Distance between the Sun and the Earth (r) = 1.5 * 10^11 m
Substituting the given values into the formula:
F = (6.67 * 10^-11 Nm^2/kg^2) * ((2 * 10^30 kg) * (6 * 10^24 kg)) / (1.5 * 10^11 m)^2
Calculating the value:
F = (6.67 * 2 * 6) * (10^-11 * 10^30 * 10^24) / (1.5 * 10^11)^2
= 80 * (10^3) / (2.25 * 10^22)
= 35.56 * 10^3 / 2.25
= 15.8 * 10^3 N
Therefore, the force exerted by the Sun on the Earth is approximately 15.8 * 10^3 Newtons.
The Force exerted by the Earth on the Sun
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. Therefore, the force exerted by the Earth on the Sun will be the same magnitude as the force exerted by the Sun on the Earth, but in the opposite direction.
Hence, the force exerted by the Earth on the Sun is also approximately 15.8 * 10^3 Newtons.
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The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.?
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The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.? 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 The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.?.
The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.? 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 The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.?.
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