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The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be:
(Given, g = acceleration due to gravity at the surface of earth)
(Given, g = acceleration due to gravity at the surface of earth)
- a)g/2
- b)g/4
- c)g/3
- d)g/9
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The height of any point P above the surface of earth is equal to diame...
Given: The height of point P above the surface of earth is equal to diameter of earth.
To find: The acceleration due to gravity at point P.
Solution:
Let, R be the radius of earth.
The distance of point P from the center of earth = R + R = 2R
From the formula of acceleration due to gravity:
g' = G*M/r²
where G is the gravitational constant, M is the mass of earth, and r is the distance of the point from the center of earth.
Let's consider two points A and B on the surface of earth where the distance from the center of earth is R.
The acceleration due to gravity at point A and B is given by:
g = G*M/R²
As point P is at a distance of 2R from the center of earth, the acceleration due to gravity at point P will be:
g' = G*M/(2R)²
g' = G*M/4R²
Dividing g' by g, we get:
g'/g = (G*M/4R²)/(G*M/R²)
g'/g = 1/4
Therefore, the acceleration due to gravity at point P is g/4.
Hence, option (b) is the correct answer.
To find: The acceleration due to gravity at point P.
Solution:
Let, R be the radius of earth.
The distance of point P from the center of earth = R + R = 2R
From the formula of acceleration due to gravity:
g' = G*M/r²
where G is the gravitational constant, M is the mass of earth, and r is the distance of the point from the center of earth.
Let's consider two points A and B on the surface of earth where the distance from the center of earth is R.
The acceleration due to gravity at point A and B is given by:
g = G*M/R²
As point P is at a distance of 2R from the center of earth, the acceleration due to gravity at point P will be:
g' = G*M/(2R)²
g' = G*M/4R²
Dividing g' by g, we get:
g'/g = (G*M/4R²)/(G*M/R²)
g'/g = 1/4
Therefore, the acceleration due to gravity at point P is g/4.
Hence, option (b) is the correct answer.
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Community Answer
The height of any point P above the surface of earth is equal to diame...
Acceleration due to gravity,
The value of g is to be found at diameter from the surface = 2r
So, effective r = 2r + r = 3r
The value of g is to be found at diameter from the surface = 2r
So, effective r = 2r + r = 3r
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The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be:(Given, g = acceleration due to gravity at the surface of earth)a)g/2b)g/4c)g/3d)g/9Correct answer is option 'D'. Can you explain this answer?
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