Please refer to attached images.THANKS Course: Calculus 1FORCEGRAVITATIONALThe expression of the Gravitational Force exerted by the Earth on an object having mass "m"and which is at a distance "r" from the center of the Earth, is given by:g(1)=g(r) =GMmrR²GMmrR²GMmwhere G is Universal Gravitational Constant (equivalent to 6.67 x 10-11 [Nm²/Kg²]), R is theradius of the Earth (6,400 kms) and M is mass of Earth equivalent to 5.97 x 1024 kg.Rsi r < Rg(r)=si r≥ RGMm In relation to the described:d) Analyze if g(r) is a continuous function of R.e) Is it possible to find a point in interior of Earth where g(r) tends to 0? Justify your answerand is it possible to find a point on outside of Earth where g(r) tends to 0? Justify your answertoo.

Given expression for gravitational force is following :Noted that Here , does not exist finitely…

d) Analyze if g(r) is a continuous function of R. e) Is it possible to find a point in interior of Earth where g(r) tends to 0? Justify your answer and is it possible to find a point on outside of Earth where g(r) tends to 0? Justify your answer too.

d) Analyze if g(r) is a continuous function of R. e) Is it possible to find a point in interior of Earth where g(r) tends to 0? Justify your answer and is it possible to find a point on outside of Earth where g(r) tends to 0? Justify your answer too.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 16E

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Question

Please refer to attached images.

THANKS

Course: Calculus 1
FORCE
GRAVITATIONAL
The expression of the Gravitational Force exerted by the Earth on an object having mass "m"
and which is at a distance "r" from the center of the Earth, is given by:
g(1)=
g(r) =
GMmr
R²
GMmr
R²
GMm
where G is Universal Gravitational Constant (equivalent to 6.67 x 10-11 [Nm²/Kg²]), R is the
radius of the Earth (6,400 kms) and M is mass of Earth equivalent to 5.97 x 1024 kg.
R
si r < R
g(r)=
si r≥ R
GMm

In relation to the described:
d) Analyze if g(r) is a continuous function of R.
e) Is it possible to find a point in interior of Earth where g(r) tends to 0? Justify your answer
and is it possible to find a point on outside of Earth where g(r) tends to 0? Justify your answer
too.

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Step 1: continuity check(d)

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Step 2: gravitational value check when tend to 0 (e)

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Can you please detail the calculation of the lateral limits that finally determine why the function is not continuous? Thanks
And also, do not understand the conclusions about the answer to question e). Can you explain in more detail? Thanks

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