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Potential
Problems on Potential Energy
Problem 1.1:
What is the gravitational potential energy of the moon with respect to the
earth? The mass of the moon is 7.35×1022 kilograms and the mass of
the earth is 5.98×1024 kilograms. The earth moon distance is 384
400 kilometers.
[Solution]
Problem 1.2:
What is the gravitational potential with respect to the sun at the position
of the earth? The mass of the sun is 1.99×1030 kilograms and the
mass of the earth is 5.98×1024 kilograms. The mean earth-sun
distance is 150×106 kilometers.
[Solution]
Problem 1.3:
What is the total energy of a 90 kilogram satellite with a perigee distance 595
kilometers and apogee distance 752 kilometers, above the surface of the earth?
The mass of the earth is 5.98×1024 kilograms and its radius is 6.38×106 m.
[Solution]
Problem 1.4:
Calculate the orbital energy and orbital speed of a rocket of mass 4.0×103 kilograms and radius 7.6×103 kilometers above the center of the
earth. Assume the orbit is circular. (Me = 5.98×1024 kilograms).
[Solution]
Problem 1.5:
A satellite of mass 1000 kilograms is launched with a speed of 10 km/sec. It
settles into a circular orbit of radius 8.68×103 km above the center
of the earth. What is its speed in this orbit? (Me = 5.98×1024 and
re = 6.38×106 m).
[Solution]
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