The energy to place a satellite into orbit consists of the work against gravity and addition kinetic energy. In this problem, you get the chance to calculate both components (gravitational and kinetic). (There is also 'wasted' energy to lift and propel the fuel, but we are ignoring that in this problem and focusing only on the bare minimum.) What is the gravitational work required to launch a satellite of mass m from Earth's surface to a circular orbit at an altitude of 700 km? Express your answer in terms of m, g, and R. Please use at least 5 significant figures in your answers. Constants you may find useful: G = 6.67 x 10-11 N·m2/kg2; MEarth = 5.98 x 1024 kg; REarth = 6.38 x 106 m. _______ *mgR How much kinetic energy must be added, assuming the satellite is launched from the equator, where the initial velocity is 463 m/s? _______ *mgR What is the total energy per kg of payload? (Use g=9.80 m/s2.) _______ MJ/kg

The energy to place a satellite into orbit consists of the work against gravity and addition kinetic energy. In this problem, you get the chance to calculate both components (gravitational and kinetic). (There is also 'wasted' energy to lift and propel the fuel, but we are ignoring that in this problem and focusing only on the bare minimum.) What is the gravitational work required to launch a satellite of mass m from Earth's surface to a circular orbit at an altitude of 700 km? Express your answer in terms of m, g, and R. Please use at least 5 significant figures in your answers. Constants you may find useful: G = 6.67 x 10-11 N·m2/kg2; MEarth = 5.98 x 1024 kg; REarth = 6.38 x 106 m. ___ mgR How much kinetic energy must be added, assuming the satellite is launched from the equator, where the initial velocity is 463 m/s? _ mgR What is the total energy per kg of payload? (Use g=9.80 m/s2.) _____ MJ/kg

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