Calculating Difference in Gravity at Different Distances from Earth's Surface

In summary, the conversation discusses the calculation of the distance above and below the Earth's surface where the acceleration due to gravity is 10% less than its value at the surface. The formula used is g'/g = (1-2h)/R, with R being the radius of the Earth. The speaker has calculated the answer to be 320 km, but it is actually 345.6 km. They then proceed to show their calculations, but it is pointed out that the formula used does not match the one mentioned in the original post.
  • #1
TANMAI
3
0

Homework Statement



at what distance above the Earth surface and at what depth below the Earth surface,is the acceleration due to gravity less by 10% of its value at surface? R=6400 km

Homework Equations

The Attempt at a Solution


g'/g = (1- 2h)/R
 
Physics news on Phys.org
  • #2
i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...
 
  • #3
TANMAI said:
i have done this problem and the answer is coming out to be 320 km but it is 345.6 km...
Well, show us your calculations.
 
  • #4
fine:smile::smile::smile::smile::smile::smile::smile::smile: 100-10=90/100=0.9 means gh is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400
 
  • #5
TANMAI said:
fine:smile::smile::smile::smile::smile::smile::smile::smile: 100-10=90/100=0.9 means gh is 0.9 times of g therefore 0.9=2h/R which is 0.9=2h/6400
That doesn't match the formula you have in the OP. Have you written the formula correctly?
 

Related to Calculating Difference in Gravity at Different Distances from Earth's Surface

1. What is gravitation and how does it work?

Gravitation is the force of attraction between two objects with mass. It is described by Newton's Law of Universal Gravitation, which states that the force of gravitation is directly proportional to the product of the masses of the objects and inversely proportional to the square of the distance between them.

2. What is the difference between gravity and gravitation?

Gravity is the force that pulls objects towards each other, while gravitation is the theory that explains why this force exists. Gravity is a specific instance of the more general concept of gravitation.

3. How does the mass of an object affect gravitation?

The greater the mass of an object, the stronger its gravitational pull. This is because the force of gravitation is directly proportional to the mass of the objects involved.

4. Can gravitation be shielded or blocked?

No, gravitation cannot be shielded or blocked. It is a fundamental force of nature that acts between all objects with mass, regardless of any barriers or obstacles.

5. How does distance affect gravitation?

As the distance between two objects increases, the force of gravitation between them decreases. This is due to the inverse square relationship between distance and the force of gravitation described by Newton's Law of Universal Gravitation.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
184
  • Introductory Physics Homework Help
Replies
4
Views
630
  • Introductory Physics Homework Help
Replies
4
Views
914
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
10
Views
11K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
2K
Replies
2
Views
3K
Back
Top