Table of Contents
- 1 What is the variation of g with depth what happens to g at the Centre of earth?
- 2 How does g value change with depth?
- 3 What is the relation between g and g?
- 4 What is variation in value of g?
- 5 What is the value of g at the Centre of the earth?
- 6 What is value of G at the Centre of the earth?
- 7 What is the variation of the value of g if the distance between the Centre of the Earth and the Centre of the object increases?
- 8 What is the value of G at the Centre of the earth?
- 9 How acceleration due to gravity changes with depth from Earth’s surface?
- 10 What is the variation of G with height and depth?
What is the variation of g with depth what happens to g at the Centre of earth?
A body of mass ‘m’ is placed initially on the surface and finally taken x distance deep into the earth. This expression shows that acceleration due to gravity decreases as we go deep into the earth. At the centre of earth x=R, so g’=0.
How does g value change with depth?
For an object placed at a height h, the acceleration due to gravity is less as compared to that placed on the surface. As depth increases, the value of acceleration due to gravity (g) falls. The value of g is more at poles and less at the equator.
What happens to g at the Centre of earth?
Answer: Acceleration due to the earth’s gravity is zero at the centre of the Earth because at that point the mass of the earth is equally distributed in all directions, so pulling equally in all directions for a net zero pull. As the distance from the centre decreases, the acceleration due to gravity also decreases.
What is the relation between g and g?
Although there exists a formula to express the relation between g and G in physics, there is no correlation between acceleration due to gravity and universal gravitation constant, as the value of G is constant. The value of G is constant at any point in this universe, and G and g are not dependent on each other.
What is variation in value of g?
As is evident from both the equation and the table above, the value of g varies inversely with the distance from the center of the earth. In fact, the variation in g with distance follows an inverse square law where g is inversely proportional to the distance from earth’s center.
What is the variation in value of g?
As is evident from both the equation and the table above, the value of g varies inversely with the distance from the center of the earth….The Value of g Depends on Location.
| Location | Distance from Earth’s center (m) | Value of g (m/s2) |
|---|---|---|
| Earth’s surface | 6.38 x 106 m | 9.8 |
| 1000 km above surface | 7.38 x 106 m | 7.33 |
What is the value of g at the Centre of the earth?
g=0 at the centre of Earth.
What is value of G at the Centre of the earth?
=0
g=0 at the centre of Earth.
What is value of g and g at the Centre of Earth?
As shown below, at twice the distance from the center of the earth, the value of g becomes 2.45 m/s2. The table below shows the value of g at various locations from Earth’s center….The Value of g Depends on Location.
| Location | Distance from Earth’s center (m) | Value of g (m/s2) |
|---|---|---|
| 9000 km above surface | 1.54 x 107 m | 1.69 |
What is the variation of the value of g if the distance between the Centre of the Earth and the Centre of the object increases?
In fact, the variation in g with distance follows an inverse square law where g is inversely proportional to the distance from earth’s center….The Value of g Depends on Location.
| Location | Distance from Earth’s center (m) | Value of g (m/s2) |
|---|---|---|
| Earth’s surface | 6.38 x 106 m | 9.8 |
| 1000 km above surface | 7.38 x 106 m | 7.33 |
What is the value of G at the Centre of the earth?
What is the variation of G due to the shape of Earth?
Variation of g due to Shape of Earth. As the earth is an oblate spheroid, its radius near the equator is more than its radius near poles. Since for a source mass, the acceleration due to gravity is inversely proportional to the square of the radius of the earth, it varies with latitude due to the shape of the earth. g p /g e = R 2 e /R 2 p
How acceleration due to gravity changes with depth from Earth’s surface?
Variation of g with depth or How Acceleration due to gravity changes with depth from the earth’s surface? As depth h increases below the earth’s surface the value of acceleration due to gravity falls. This is expressed by the formula g2 = g (1 – h/R). Here g2 is the acceleration due to gravity at depth h and R is the radius of the earth.
What is the variation of G with height and depth?
This means the value of g on top of a mountain won’t be exactly the same as that on the earth’s surface. Similarly, g at a location considerably below the earth’s surface won’t be equal to the value of g on the earth’s surface. This is known as the variation of g with height and depth.
How do you find acceleration due to gravity at different heights?
Variation of g with height: As altitude or height h increases above the earth’s surface the value of acceleration due to gravity falls. This is expressed by the formula g1 = g (1 – 2h/R). Here g1 is the acceleration due to gravity at a height of h with respect to the earth’s surface and R is the radius of the earth.