In a futuristic scenario, you are assigned the mission of making inoperative an
ID: 1308228 • Letter: I
Question
In a futuristic scenario, you are assigned the mission of making inoperative an enemy satellite that is in a circular orbit around Earth. You know you cannot destroy the satellite, as it is well protected against attack. But you can try to knock it out of its orbit so it will fly away and never return. What is the minimum amount of work applied to the satellite that is required to accomplish that? The satellite's mass and altitude are 9.67*10^2 kg and 2.31*10^2 km. Earth's mass and radius are 5.98*10^24 kg and 6.37*10^3 km.
Please show your work for points and convert the final answer to meters.
Explanation / Answer
Find the total energy of the satellite in it's orbit .. Et = KE + GPE
Orbit radius .. R = 6.37*10^6m + 2.31*10^5m .. R = 6.60*10^6m
KE = gravitational attraction provides the centripetal force (satellite mass m)
G.Me.m / R
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