Determine the minimum amount of energy that a projectile of mass 100.0 kg must gain to rea...
Determine the minimum amount of energy that a projectile of mass 100.0 kg must gain to reach a circular orbit 10.00 km above the Earth’s surface if launched from (a) the North Pole or from (b) the Equator (keep answers to four significant figures). Do not be concerned about the direction of the launch or of the final orbit. Is there an advantage or disadvantage to launching from the Equator? If so, how significant is the difference? Do not neglect the rotation of the Earth when calculating the initial energies.
Step-by-Step Solution
THINK:
The is to calculate the energy needed to launch a projectile into a circular orbit from the North pole and the equator
SKETCH:
RESEARCH:
The projectile has a total energy of 
While, in orbit the projectile has energy of 
SIMPLIFY:
The energy required to launch the projectile at North Pole is
The energy required to launch the projectile at the equator
CALCULATE:
a) Mass of the projectile 
The energy required to launch the projectile at North Pole
b) The energy required to launch the projectile at the equator
The difference in the energy
This is the large difference of energy but only 
energy required make the launch
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