in a futuristic scenario, you are assigned the mission of making inoperative In

Question

in a futuristic scenario, you are assigned the mission of making inoperative

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 9.63 x 102 kg and 2.11 x 102 km. Earth's mass and radius are 5.98 x 1024 kg and 6.37 x 103 km.

Explanation / Answer

Minimum energy required = Gravitational potential energy of satellite = (G*M1 *M2 )/R

M1=mass of earth =5.98*10^24 kgs

M2= Mass of sattellite =9.63 *10^2 kgs

R= Distance between them =(2.11*10^2 + 6.37*10^3)*10^3 metres

Hence energy required =5.839*10^10 joules

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