Answered: A space agency sent a satellite to a…

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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Question

A space agency sent a satellite to a nearby planet to take photographs over a period of several years. The satellite orbits the planet once every 6 hours and 10 minutes. If the satellite is orbiting at a radius of 9.44∗10^7 m, what is the mass of the planet?

	4.34∗10^26 kg
	8.22∗10^29 kg
	1.01∗10^27 kg
	7.04∗10^26 kg

Expert Solution

Step 1

Answer

Time of revolution of satellite around planet

T = 6 hours 10 minutes

T = 2600 s + 600 s

T = 22200 s

Radius of orbit of satellite $R = 9.44 \times 10^{7} m$

speed of satellite $v = \frac{2 π R}{T}$

$v = \frac{2 \times π \times 9.44 \times 10^{7}}{22200}$

$v = 2.67 \times 10^{4} m / s$

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