posted by Steve .
(a) Determine the amount of work (in joules) that must be done on a 95 kg payload to elevate it to a height of 1007 km above the Earth's surface.
1 ? MJ
(b) Determine the amount of additional work that is required to put the payload into circular orbit at this elevation.
2 ? J
I assume you are a calculus based physics student.
Work= INTEGRAL Forcegravity.dr
= INT from re to re+1007,000m of
(GMe*95)/r^2 * dr evaulated over limits.
Now the additional work to go into orbit: 1/2 mv^2, where v^2=GMe/(re+1007,000)