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A 50 kg satellite circles the earth in an orbit with a period of 140 min....

A 50 kg satellite circles the earth in an orbit with a period of 140 min.

What minimum energy E is required to change the orbit to one with a period of 350 min? Assume both the initial and fi- nal orbits are circular. The Earth’s radius is6.37×106m,itsmassis5.98×1024kg, and the value of the universal gravitational constant is 6.672 × 10?11 N · m2/kg2.

Answer in units of J.

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