Please help I need this its for a grade

Physics

1 answer:

irina1246 [14]3 years ago

4 0

Which sentence from paragraph 4 most precisely explain the factors that determine the force of gravity?

" In other words, these equations states the gravitational force between two bodies is proportional to the product of their masses and inversely proportional to the square of the distance between them."

It's formula is g=GM/r²

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Show all work.

lys-0071 [83]

The new gravitation force at the new location is 40 N

Explanation:

The weight of the astronaut is given by the equation

$F=mg$ (1)

where

m is the mass of the astronaut

g is the acceleration of gravity

The acceleration of gravity at a certain distance $r$ from the centre of the Earth is given by

$g=\frac{GM}{r^2}$

where G is the gravitational constant and M is the Earth's mass. So we can rewrite eq.(1) as

$F=\frac{GMm}{r^2}$

When the astronaut is on the Earth's surface, $r=R$ (where R is the Earth's radius), so his weight is

$F=\frac{GMm}{R^2}=640 N$

Later, he moves to another location where his distance from the Earth's surface is 3 times the previous distance, so the new distance from the Earth's centre is

$r'=3R+R=4R$