How Does Gravity Change with Distance from Earth's Center?

  • Thread starter Kyle M
  • Start date
  • Tags
    Gravity
In summary, the acceleration acting on a falling object due to gravity varies inversely with the square of the object's distance from the center of Earth. At the surface of Earth, the acceleration is 9.8 m/sec(squared). Using the multiply-multiply pattern of power functions, we can find the acceleration at 3 and 9 Earth radii from the center by multiplying the acceleration at the surface by 1/9 and 1/81, respectively. This is in accordance with Newton's law of gravitation, where the acceleration is inversely proportional to the square of the radius.
  • #1
Kyle M
1
0
the acceleration acting on a falling object due to gravity varies inversely with the square of the object's distance from the center of Earth. At the surface of Earth, where x = 1 Earth Radius, the acceleration is y = 9.8 m/sec(squared)


a.) Use the multiply-multiply pattern of power functions to find the acceleration at 3 and 9 Earth radii from the center
 
Last edited:
Physics news on Phys.org
  • #2
Kyle M, you have to show your attempt before anyone can help.

And what does "multiply-multiply pattern of power functions" refer to?
 
  • #3
The acceleration is inversely proportional to the square of the radius. For example, if the radius is doubled, its square is multiplied by 4. Because this is inverse proportion, the acceleration is multiplied by 1/4.
 
  • #4
hint- related to Newtons law of gravitation equation
 

FAQ: How Does Gravity Change with Distance from Earth's Center?

What is the definition of "Gravity Problem"?

The "Gravity Problem" refers to the discrepancy between classical mechanics and general relativity in explaining the behavior of gravity at the quantum level.

What is the cause of the "Gravity Problem"?

The cause of the "Gravity Problem" is the fact that classical mechanics treats gravity as a force between masses, while general relativity describes it as the curvature of spacetime.

How does the "Gravity Problem" impact our understanding of the universe?

The "Gravity Problem" challenges our current understanding of gravity and the fundamental laws of physics. It also hinders our ability to create a unified theory that can explain all phenomena in the universe.

Are there any proposed solutions to the "Gravity Problem"?

Several theories, such as string theory and loop quantum gravity, have been proposed to reconcile the differences between classical mechanics and general relativity and solve the "Gravity Problem". However, these theories are still being studied and debated.

How can the "Gravity Problem" be tested or observed?

Scientists use high-energy particle colliders, such as the Large Hadron Collider, to test the predictions of different theories and potentially observe the effects of gravity at the quantum level. Observations of black holes and gravitational waves also provide evidence for the existence of gravity, but they do not fully explain the "Gravity Problem".

Similar threads

B Why Is an Object's Weight Equal to the Force of Gravity It Experiences?
2
Replies
51
Views
2K
B Does the inverse square law equalize gravity at different spots?
Replies
8
Views
1K
I Understanding Gravity with GR: Beginner's Guide by Aerodyn
Replies
10
Views
1K
Confusion on product rule for mass of differential volume element
Replies
4
Views
1K
B Earth & Moon Gravity Gradient: Investigating Its Impact
Replies
33
Views
4K
Does the gravitational rate of acceleration increase within a planet?
2
Replies
54
Views
3K
B Why does Jupiter have a stronger gravitational pull than Earth?
Replies
13
Views
2K
Equations for a mass falling to Earth from a distance
Replies
3
Views
1K
I A problem when trying to compare electromagnetism with gravity
Replies
2
Views
817
I Does Time Drive Black Hole Travelers to a Central Singularity?
Replies
13
Views
1K

Hot Threads

Recent Insights

Back
Top