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.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 37PQ: The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 ...
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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.
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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