How does g vary with altitude and depth?
Table of Contents
- 1 How does g vary with altitude and depth?
- 2 Does gravity vary with altitude?
- 3 How much can g vary in the mountains compared to sea level?
- 4 How does the value of g vary?
- 5 What do you understand by gravity and acceleration due to gravity establish relation between g and g?
- 6 On what factors the value of g depends?
- 7 How do you find acceleration due to gravity at different heights?
- 8 Which formula approximates the Earth’s gravity variation with altitude?
How does g vary with altitude and depth?
The magnitude of acceleration due to gravity at an altitude ‘h’ from the earth is equal to its magnitude at a depth ‘d’. If the ‘h’and ‘d’ both increases by 50 \%, are the magnitudes of acceleration due to gravity at the new altitude and the new depth equal.
Does gravity vary with altitude?
Gravity is often assumed to be the same everywhere on Earth, but it varies because the planet is not perfectly spherical or uniformly dense. It’s also weaker at higher altitudes, further from Earth’s centre, such as at the summit of Mount Everest.
How are g and g related to each other show that the value of g decreases with the altitude or height?
The value of ‘g’ decreases with altitude because gh = g (1 + h/R)-2 [where gh is the acceleration due to gravity at height h]. This formula suggests that ‘g’ decreases with altitude.
How is g and g related?
Relationship Between G and g g is the acceleration due to the gravity measured in m/s2. G is the universal gravitational constant measured in Nm2/kg2.
How much can g vary in the mountains compared to sea level?
Gravity on the Earth’s surface varies by around 0.7\%, from 9.7639 m/s2 on the Nevado Huascarán mountain in Peru to 9.8337 m/s2 at the surface of the Arctic Ocean.
How does the value of g vary?
In the first equation above, g is referred to as the acceleration of gravity. Its value is 9.8 m/s2 on Earth….The Value of g Depends on Location.
| Location | Distance from Earth’s center (m) | Value of g (m/s2) |
|---|---|---|
| 10000 km above surface | 1.64 x 107 m | 1.49 |
| 50000 km above surface | 5.64 x 107 m | 0.13 |
How does value of g acceleration due to gravity varies with decreasing altitude?
The acceleration of an object changes with altitude. This means that gravitational acceleration is inversely proportional to the square of the distance from the centre of Earth. As the distance is doubled, the gravitational acceleration decreases by a factor of 4.
How do g and g differ from each other?
g is the gravitational force exerted by any planet. For earth it’s 9.8m/s2….question_answer Answers(5)
| Acceleration due to gravity ( g ) | Universal Gravitation Constant ( G ) |
|---|---|
| It will change from place to place. | Constant at any place in the universe. |
| Value of g=9.8 m/s2 | Value of G=6.673×10-11 Nm2/kg2 |
What do you understand by gravity and acceleration due to gravity establish relation between g and g?
Relationship Between G and g g is the acceleration due to the gravity measured in m/s2. G is the universal gravitational constant measured in Nm2/kg2. R is the radius of the massive body measured in km. M is the mass of the massive body measured in Kg.
On what factors the value of g depends?
The value of g is independent of the mass of the object and only dependent upon location – the planet the object is on and the distance from the center of that planet.
What is the change in the value of G with height?
So as altitude h increases, the value of acceleration due to gravity falls. This describes the variation of g with height or altitude. What is the change in the value of g at a height h? g1 = g (1 – 2h/R) This g1 gives the formula for g at height h. So the value of g will decrease by this amount: 2hg/R, at a height h above the earth’s surface.
What is the value of G in gravity?
The value of “g” is the strength of the gravitational field, which depends on mass that attracts you, your distance to it. Why is gravity different on different places on Earth?
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.
Which formula approximates the Earth’s gravity variation with altitude?
The following formula approximates the Earth’s gravity variation with altitude: gh is the gravitational acceleration at height habove sea level. re is the Earth’s mean radius. g0 is the standard gravitational acceleration.