If earth's mass decreased by one-half its original mass with no change in radius, by what factor would your weight change?   Please explain the work and formula used to find this answer.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
Problem 2CQ: In the law of universal gravitation, Newton assumed that the force was proportional to the product...
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If earth's mass decreased by one-half its original mass with no change in radius, by what factor would your weight change?  

Please explain the work and formula used to find this answer.

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