Using Momentum & Energy Principles to Analyze a Satellite Orbit

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Using both momentum and energy principles provides a comprehensive analysis of satellite orbits. The gravitational force acting on a 4000 kg satellite in a circular orbit of 9.5x10^6 m radius is calculated to be approximately 17817.17 N. The satellite's orbital speed, determined through the momentum principle, is about 6505.06 m/s. For calculating the work needed to move the satellite far from Earth, the correct approach involves accounting for kinetic energy, which was initially overlooked. The discussion highlights the importance of integrating both principles for accurate orbital mechanics analysis.
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In certain cases, using both the momentum principle and energy principle to analyze a system is useful, as they each can reveal different information. You will use the both momentum principle and the energy principle in this problem.

A satellite of mass 4000 kg orbits the Earth in a circular orbit of radius of 9.5x10^6 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0x10^24 kg.

a)What is the magnitude of the gravitational force on the satellite due to the earth?
F= 17817.17452 N

b)Using the momentum principle, find the speed of the satellite in orbit.
v=6505.058761

c)Using the energy principle, find the minimum amount of work needed to move the satellite from this orbit to a location very far away from the Earth. (You can think of this energy as being supplied by work due to something outside of the system of the Earth and the satellite.)

i can't get C i tried GMm1/r and got 1.69e11 J and its wrong can someone help me out here?
 
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nevermind i figured it out i forgot to subtract KE
 
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