Answered: A satellite with a mass of 200 kg fires…

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 satellite with a mass of 200 kg fires its engines to increase velocity, thereby increasing the size of its orbit about Earth. As a result, it moves from a circular orbit of radius 7.5 x 106m to an orbit of radius 7.7 x 106 m. What is the approximate change in gravitational force from Earth as a result of this change in the satellite's orbit? (Recall that Earth has a mass of 5.97 x 1024 kg and G = 6.67 * 10-11 N·m²/kg)

O A. -73 N
B. -112 N
C. -32 N
O D. -59 N

Expert Solution

Step 1

Satellite mass m = 200kg

Radius $r_{1} = 7.5 \times 10^{6} m$

Radius $r_{2} = 7.7 \times 10^{6} m$

Mass of earth M = $5.97 \times 10^{24} k g$

Gravitation constant G= $6.67 \times 10^{- 11} N m^{2} / k g^{2}$

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