Get people off the Earth in a permanent space habitat. Recall that the gravitational potential energy of an object in orbit around the Earth has magnitude GMmd where M is the mass of the Earth and m is the mass of the object in orbit around it (G = 6.67×10-11Nm2/kg2). If this is also equal to the energy that must be expended (work) to place the object at orbital altitude d, i. calculate the work required to place 100 million people in orbit at 300 miles altitude. Use a mass of 70 kg for the average mass per person. (1 Joule=1 Nm) ii. How does this compare to the current annual energy consumption of the United States? (1 Watt hour = 3600 Joules)
Get people off the Earth in a permanent space habitat. Recall that the gravitational potential energy of an object in orbit around the Earth has magnitude GMmd where M is the mass of the Earth and m is the mass of the object in orbit around it (G = 6.67×10-11Nm2/kg2). If this is also equal to the energy that must be expended (work) to place the object at orbital altitude d, i. calculate the work required to place 100 million people in orbit at 300 miles altitude. Use a mass of 70 kg for the average mass per person. (1 Joule=1 Nm) ii. How does this compare to the current annual energy consumption of the United States? (1 Watt hour = 3600 Joules)
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Plan A - Get people off the Earth in a permanent space habitat. Recall that the gravitational potential energy of an object in orbit around the Earth has magnitude GMmd where M is the mass of the Earth and m is the mass of the object in orbit around it (G = 6.67×10-11Nm2/kg2). If this is also equal to the energy that must be expended (work) to place the object at orbital altitude d,
i. calculate the work required to place 100 million people in orbit at 300 miles altitude. Use a mass of 70 kg for the average mass per person.
(1 Joule=1 Nm)
ii. How does this compare to the current annual energy consumption of the United States? (1 Watt hour = 3600 Joules)
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