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

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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.
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Kyle M
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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
 
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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
 

1. 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.

2. 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.

3. 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.

4. 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.

5. 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".

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