Why does doubling the mass of an object double its weight, but doubling its distance from the center of Earth reduces its weight fourfold? The weight is equal to the gravitational force between the object and Earth, and the gravitational force is inversely proportional to the distance squared between the object and Earth. The weight is half the gravitational force between the object and Earth. The weight is two times the gravitational force between the object and Earth. The weight is directly proportional to the square of the gravitational force between the object and Earth.
Why does doubling the mass of an object double its weight, but doubling its distance from the center of Earth reduces its weight fourfold? The weight is equal to the gravitational force between the object and Earth, and the gravitational force is inversely proportional to the distance squared between the object and Earth. The weight is half the gravitational force between the object and Earth. The weight is two times the gravitational force between the object and Earth. The weight is directly proportional to the square of the gravitational force between the object and Earth.
College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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
Transcribed Image Text:Why does doubling the mass of an object double its weight, but doubling its distance
from the center of Earth reduces its weight fourfold?
The weight is equal to the gravitational force between the object and Earth, and
the gravitational force is inversely proportional to the distance squared between
the object and Earth.
The weight is half the gravitational force between the object and Earth.
The weight is two times the gravitational force between the object and Earth.
The weight is directly proportional to the square of the gravitational force
between the object and Earth.
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