jonest2
contestada

PLEASE HELP!
The gravitational force that Earth exerts on an object is inversely proportional to the square of the distance between the center of the Earth and the object. When Bill is on the surface of Earth, 4,000 miles from the center, the gravitational force is 600 Newtons. What is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon, 240,000 miles from the center of the earth? Express your answer as a fraction

Respuesta :

wuzzleluver
Inverse: Flipping the fraction of a number. For example the inverse of 2 would be 1/2. So force/1 has to = x/radius^2

Find "x":
 [tex] F_{gravity} = \frac{x}{r^2} [/tex]
Plug in numbers given:
 [tex] F_{gravity} = \frac{x}{r^2} [/tex]
[tex]600= \frac{x}{(4,000)^2} [/tex]
[tex]600= \frac{x}{16,000,000} [/tex]
[tex]x=9,600,000,000[/tex]

Find Force using x and the new radius:
 [tex] F_{gravity} = \frac{x}{r^2} [/tex]
 [tex] F_{gravity} = \frac{9,600,000,000}{(240,000)^2} [/tex] = 1/6

 



kapoorprachi783

1/6  is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon.

What is gravitational force?

The gravitational force is a force that attracts any two gadgets with mass. We name the gravitational force attractive as it always tries to pull masses together, it in no way pushes them apart. In fact, every item, consisting of you, is pulling on every different item in the entire universe.

Learn more about gravitational force here: https://brainly.com/question/13010127

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