A 50-kg satellite circles the Earth in an orbit with a period of 120 min. What minimum energy is required to change the orbit to another circular orbit with a period of 180 min? (Earth: radius = 6.4 106 m, mass = 6.0 1024 kg)
a. 2.9 108 J
b. 3.5 108 J
c. 4.1 108 J
d. 4.7 108 J
e. 5.9 108 J
Question 2
An object is released from rest when it is a height h above the surface of a planet of mass M and radius R. What is the speed of the object just before striking the surface of the planet? Neglect any air resistance. Let h = 4.0 106 m, R = 5.0 106 m, and M = 4.0 1024 kg.
a. 7.8 km/s
b. 3.5 km/s
c. 5.4 km/s
d. 6.9 km/s
e. 4.8 km/s
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