Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg. rearth = 6.38x10° km, and G=6.67x10*" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.r_ur)?

Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg. rearth = 6.38x10° km, and G=6.67x10*" Nm²/kg², and assuming the orbit is circular, a. Find the radius of the orbit, how many earth radii is it? b. What is the speed of the satellite (in km/s)? c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is "g" at the satellite radius? How much stronger is g at the Earth's surface (what is g/g.r_ur)?

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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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

1. Gravity: A satellite circles the earth three times per day (it has an 8-hour period). Given Mearth = 5.98x1024 kg,
rearth = 6.38x10° km, and G=6.67x10" Nm²/kg², and assuming the orbit is circular,
a. Find the radius of the orbit, how many earth radii is it?
b. What is the speed of the satellite (in km/s)?
c. What is the acceleration due to the Earth's gravity at that radius, i.e. what is
"g" at the satellite radius? How much stronger is g at the Earth's surface
(what is g/g.t_sat)?

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