Answer :
Final answer:
To move the satellite into a circular orbit with altitude 199 km, we need to calculate the change in potential energy and add that amount of energy to the system.
Explanation:
To move the satellite into a circular orbit with altitude 199 km, we need to calculate the energy that must be added to the system. The energy needed is equal to the change in potential energy. The formula to calculate the change in potential energy is ΔE = mgΔh, where m is the mass of the satellite, g is the acceleration due to gravity, and Δh is the change in altitude. Given that the mass of the satellite is 1.016 kg, the acceleration due to gravity is 9.8 m/s², and the change in altitude is 100 km, we can calculate the change in potential energy.
ΔE = (1.016 kg)(9.8 m/s²)(100,000 m) = 999,232 J
Therefore, 999,232 J of energy must be added to the system to move the satellite into a circular orbit with altitude 199 km.
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