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(a) Determine the amount of work (in joules) that must be doneon a 104 kg payloa

ID: 1725775 • Letter: #

Question

(a) Determine the amount of work (in joules) that must be doneon a 104 kg payload to elevate it to aheight of 998 km above the Earth'ssurface.
1 MJ
(b) Determine the amount of additional work that is required to putthe payload into circular orbit at this elevation.
2 J
He gave us a few hints/ guidelines for all our work thisweek...just in case it helps you...Thanks a lot Remember: a 1% error in a number that gets squared results ina 2% error and out of tolerance.
RE= 6375 km and g = 9.81 m/s2
Msol = 1.99 x 1030 kg
Make sure your answer is in the units right of answerbox. (a) Determine the amount of work (in joules) that must be doneon a 104 kg payload to elevate it to aheight of 998 km above the Earth'ssurface.
1 MJ
(b) Determine the amount of additional work that is required to putthe payload into circular orbit at this elevation.
2 J
He gave us a few hints/ guidelines for all our work thisweek...just in case it helps you...Thanks a lot Remember: a 1% error in a number that gets squared results ina 2% error and out of tolerance.
RE= 6375 km and g = 9.81 m/s2
Msol = 1.99 x 1030 kg
Make sure your answer is in the units right of answerbox.

Explanation / Answer

a) The amount of work done is             W = mgh                  = (104 kg)(9.80 m/s2)(998*103m)                   =   ----- J b) The amount of work done is            W = (mv2/r)r                 = mv2                = 2mgh   ( v = (2gh)) Substitute the values.