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5 Nov 2021
Problem 28a
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
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5 Nov 2021
Given information
The Mass of the satellite is 1000 kg, the Mass of the earth is kg, the Radius of the earth is .
The satellite’s final orbit is out of the earth’s gravitational field and the value of is .
Step-by-step explanation
Step 1.
The work needed to launch a satellite of mass m from the surface of the earth, having radius R and mass M and place it in an orbit of radius r around the earth is given by .
The value of the final radius r is infinity because the satellite is far away from the earth and out of its gravitational field. therefore , put and the given values of G,m,M,R in the above expression for work.