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

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 19CQ: What is the last thing you should do when solving a problem? Explain.

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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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