6. A sky-watching friend tells you they've been tracking an Earth satellite in a circular orbit with aperiod of 1.0 hours. Should you believe them? Justify your answer. (Hint: Find the orbital radius of thesatellite.)Answer: No

Answered: 6. A sky-watching friend tells you…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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6. A sky-watching friend tells you they've been tracking an Earth satellite in a circular orbit with a
period of 1.0 hours. Should you believe them? Justify your answer. (Hint: Find the orbital radius of the
satellite.)
Answer: No

Expert Solution

Step 1: From the Kepler's third law

We know that

The value of universial gravitational consntat is (G) =6.67x10^-11N.m²/kg²

Mass of the earth(M) =5.97x10²⁴kg

Time period (T) =1.0h =60x60s =3600s

Radius of the earth (r) =?

We know that

$T squared equals fraction numerator 4 pi squared over denominator G M end fraction r cubed$

then $r equals open parentheses fraction numerator G M T squared over denominator 4 pi squared end fraction close parentheses to the power of 1 third end exponent$

Satellite LEO, international space station takes about 90 minutes to orbit the earth. so, it is not possible to believe them .A circular orbit with a period of 1.0 hours (i.e., 60 min) not possible in the earths atmosphere under normal conditions.

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