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

[Kyle M]

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

 

[neutrino]

Kyle M, you have to show your attempt before anyone can help.

And what does "multiply-multiply pattern of power functions" refer to?

 

[HallsofIvy]

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.

 

[hover]

hint- related to Newtons law of gravitation equation