Calculate the new radius of the satellite if Joules of energy are added to it.                            How much energy must be given to the satellite in order for it to escape Earth’s gravity completely (make its orbit’s radius infinitely large)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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  1. Calculate the new radius of the satellite if Joules of energy are added to it. 
                             
  2. How much energy must be given to the satellite in order for it to escape Earth’s gravity completely (make its orbit’s radius infinitely large)? 

    Note: This is advance function problem not physics.  
The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit
r – 10 000
of radius 10 000 km can be modelled by the function E = 2×100
where E is the energy, in
Joules, and r is the new radius, in kilometers.
Transcribed Image Text:The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit r – 10 000 of radius 10 000 km can be modelled by the function E = 2×100 where E is the energy, in Joules, and r is the new radius, in kilometers.
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