The gravitational force exerted by the planet Earth on a unit mass at a distancer from the center of the planet is GMr if rR where M is the mass of Earth, Ris its radius, and G is the gravitational constant. Is F a continuous function of r?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.16P
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The gravitational force exerted by the planet Earth on a unit
mass at a distancer from the center of the planet is
GMr
if r<R
R
F(r)
GM
if r>R
where M is the mass of Earth, Ris its radius, and G is the
gravitational constant. Is F a continuous function of r?
Transcribed Image Text:The gravitational force exerted by the planet Earth on a unit mass at a distancer from the center of the planet is GMr if r<R R F(r) GM if r>R where M is the mass of Earth, Ris its radius, and G is the gravitational constant. Is F a continuous function of r?
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