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Moon revolves around the earth due to gravitational force (F) of earth on moon. The work done by the gravitational force is (r = radius of circular orbit of moon)
- a)F.2πr
- b)F.πr
- c)zero
- d)negative work
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Moon revolves around the earth due to gravitational force (F) of earth...
- The work done by the moon when it revolves around the earth is zero because here displacement of the moon and gravitational force of earth are perpendicular to each other.
- Work done (W) = F x d x cosƟ. In the case of the revolution of the moon around the earth, Ɵ is 90°. Thus, W = F x d x cos90° = F x d x 0 = 0.
- So, the work done by the moon when it revolves around the earth is Zero.
Most Upvoted Answer
Moon revolves around the earth due to gravitational force (F) of earth...
Work done here is zero as the force applied in a circular motion is always tangentially to the point. as a tangent is always perpendicular to point of the circle, the word done = F*cos 90=F*0=0
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Moon revolves around the earth due to gravitational force (F) of earth...
The work done by the gravitational force between the Earth and the Moon can be calculated using the formula:
Work = Force x Distance
In this case, the force is the gravitational force between the Earth and the Moon, which can be calculated using Newton's Law of Universal Gravitation:
F = (G * m1 * m2) / r^2
where G is the gravitational constant, m1 and m2 are the masses of the Earth and the Moon respectively, and r is the distance between their centers.
Now, the distance traveled by the Moon in one complete revolution around the Earth is equal to the circumference of its circular orbit, which is given by:
Circumference = 2 * π * r
So, the work done by the gravitational force is:
Work = Force x Distance
= F x Circumference
= F x (2 * π * r)
Substituting the value of F from Newton's Law of Universal Gravitation, we get:
Work = [(G * m1 * m2) / r^2] x (2 * π * r)
= (2 * π * G * m1 * m2) / r
Therefore, the work done by the gravitational force between the Earth and the Moon is (2 * π * G * m1 * m2) / r.
Work = Force x Distance
In this case, the force is the gravitational force between the Earth and the Moon, which can be calculated using Newton's Law of Universal Gravitation:
F = (G * m1 * m2) / r^2
where G is the gravitational constant, m1 and m2 are the masses of the Earth and the Moon respectively, and r is the distance between their centers.
Now, the distance traveled by the Moon in one complete revolution around the Earth is equal to the circumference of its circular orbit, which is given by:
Circumference = 2 * π * r
So, the work done by the gravitational force is:
Work = Force x Distance
= F x Circumference
= F x (2 * π * r)
Substituting the value of F from Newton's Law of Universal Gravitation, we get:
Work = [(G * m1 * m2) / r^2] x (2 * π * r)
= (2 * π * G * m1 * m2) / r
Therefore, the work done by the gravitational force between the Earth and the Moon is (2 * π * G * m1 * m2) / r.
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Moon revolves around the earth due to gravitational force (F) of earth on moon. The work done by the gravitational force is (r = radius of circular orbit of moon)a)F.2πrb)F.πrc)zerod)negative workCorrect answer is option 'C'. Can you explain this answer?
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