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We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible?
Most Upvoted Answer
We have read that g increases when distance from the centre of the Ear...
G = GM/R^2...as we know from gravitational formula...now when we go to the centre of the Earth ...means we r covering the whole radius of Earth while moving to the centre...so let height below the Earth s surface be D..and radius of Earth be R...so the condition will stand as R=H...now the equation for g will b ..g = GM/(R-H)^2 i.e g = GM/(R-R)^2 i.e is 0
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We have read that g increases when distance from the centre of the Ear...
Introduction:
The force of gravity, represented by the acceleration due to gravity (g), is responsible for the attraction between objects. The value of g is influenced by various factors, including the distance from the center of the Earth. As the distance from the center of the Earth increases, the value of g decreases. However, when the distance becomes negligible at the center of the Earth, the value of g is not zero but rather undefined. Let's explore this in more detail.
Gravitational Field:
The force of gravity between two objects depends on their masses and the distance between them. The Earth can be considered as a massive object that exerts a gravitational force on objects near its surface. The gravitational field is a measure of the force experienced by a unit mass at a given point in space.
Inverse Square Law:
According to the inverse square law, the force of attraction between two objects decreases with the square of the distance between their centers. This means that as the distance from the center of the Earth increases, the force of gravity weakens, and hence, g decreases.
Approaching the Center:
As an object moves closer to the center of the Earth, the distance between its center and the center of the Earth decreases. Consequently, the force of gravity between the object and the Earth increases. However, as the object gets extremely close to the center, the distance becomes negligible.
Singular Point:
At the center of the Earth, the distance between any object and the center is effectively zero. However, this does not mean that the force of gravity becomes zero. In fact, the force of gravity at the center is at its maximum. The problem lies in the definition of g, which is the acceleration due to gravity. Acceleration is the rate of change of velocity, and at the center of the Earth, the object cannot move any further towards the center. As a result, the concept of acceleration becomes undefined, and therefore, the value of g is undefined at the center.
Conclusion:
In summary, the value of g decreases as the distance from the center of the Earth increases. However, at the center of the Earth, where the distance becomes negligible, the value of g is undefined rather than zero. This is because acceleration cannot be defined at a point where an object cannot move any further towards the center. Understanding the concept of g and its behavior at different distances from the center of the Earth helps us comprehend the complex nature of gravity and its effects on objects.
The force of gravity, represented by the acceleration due to gravity (g), is responsible for the attraction between objects. The value of g is influenced by various factors, including the distance from the center of the Earth. As the distance from the center of the Earth increases, the value of g decreases. However, when the distance becomes negligible at the center of the Earth, the value of g is not zero but rather undefined. Let's explore this in more detail.
Gravitational Field:
The force of gravity between two objects depends on their masses and the distance between them. The Earth can be considered as a massive object that exerts a gravitational force on objects near its surface. The gravitational field is a measure of the force experienced by a unit mass at a given point in space.
Inverse Square Law:
According to the inverse square law, the force of attraction between two objects decreases with the square of the distance between their centers. This means that as the distance from the center of the Earth increases, the force of gravity weakens, and hence, g decreases.
Approaching the Center:
As an object moves closer to the center of the Earth, the distance between its center and the center of the Earth decreases. Consequently, the force of gravity between the object and the Earth increases. However, as the object gets extremely close to the center, the distance becomes negligible.
Singular Point:
At the center of the Earth, the distance between any object and the center is effectively zero. However, this does not mean that the force of gravity becomes zero. In fact, the force of gravity at the center is at its maximum. The problem lies in the definition of g, which is the acceleration due to gravity. Acceleration is the rate of change of velocity, and at the center of the Earth, the object cannot move any further towards the center. As a result, the concept of acceleration becomes undefined, and therefore, the value of g is undefined at the center.
Conclusion:
In summary, the value of g decreases as the distance from the center of the Earth increases. However, at the center of the Earth, where the distance becomes negligible, the value of g is undefined rather than zero. This is because acceleration cannot be defined at a point where an object cannot move any further towards the center. Understanding the concept of g and its behavior at different distances from the center of the Earth helps us comprehend the complex nature of gravity and its effects on objects.
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We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible?
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We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible? 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 We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible?.
We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible? 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 We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We have read that g increases when distance from the centre of the Earth decreases and g decreases when distance increases.Then why does g become zero at the centre of the circle when distance is from the centre is negligible?.
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