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Date Posted: 7/23/2008 3:13:37 PM  Status: Live
help..
Course Textbook Chapter Problem
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Question Details:
A 2660-kg spacecraft is in a circular orbit a distance 2180 {\rm km} above the surface of Mars.
 
How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 3590 {\rm km} above the surface?
  \Delta E  =
  {\rm J}
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Date Posted: 7/24/2008 7:44:52 AM  Status: Live
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Response:
The gravitational force on the spacecraft is
g = (GM/r2) -------(1)
Here,G = 6.67 * 10-11Nm2/kg2,M is the mass of the planet and r is the radius of the circular orbit of the spacecraft.
The force experienced on the spacecraft by the planet is
F = mg,where m is the mass of the spacecraft and the value of g is obtained from equation (1).
The work performed by the spacecraft engine to move the spacecraft to a circular orbit with radius R = 3590 km is
ΔE = F * R.



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