The gravitational force exerted by the planet Earth on a unit mass at a distance r from the centerof the planet isGM,GMif r < Rif r > RF(r) =where M is the mass of the earth, R is the radius, and G is the gravitational constant. Is F acontinuous function of r? Explain your answer.

Let's find given function is continuous or not.

The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is GM, GM if r < R if r 2 R F(r) = where M is the mass of the earth, R is the radius, and G is the gravitational constant. Is F a continuous function of r? Explain your answer.

The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is GM, GM if r < R if r 2 R F(r) = where M is the mass of the earth, R is the radius, and G is the gravitational constant. Is F a continuous function of r? Explain your answer.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 20E

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Question

The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center
of the planet is
GM,
GM
if r < R
if r > R
F(r) =
where M is the mass of the earth, R is the radius, and G is the gravitational constant. Is F a
continuous function of r? Explain your answer.

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