A person's weight W varies inversely as the second power of the distance d from the center of a planet. A person weights 160 pounds as a distance of 2000 miles from the center of the planet Krypton. How much does the same person weigh at a distance of 2500 miles from the center of the planet?

A person's weight W varies inversely as the second power of the distance d from the center of a planet. A person weights 160 pounds as a distance of 2000 miles from the center of the planet Krypton. How much does the same person weigh at a distance of 2500 miles from the center of the planet?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter7: Gravitation

Section: Chapter Questions

Problem 73A

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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

A person's weight W varies inversely as the second power of the distance d from the
center of a planet. A person weights 160 pounds as a distance of 2000 miles from
the center of the planet Krypton. How much does the same person weigh at a
distance of 2500 miles from the center of the planet?
102.4 Ibs
200.0 Ibs
100.0 Ibs
150.0 Ibs

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