The International Space Station, with a mass of 370,000 kg, is orbiting the Earth at a height 335 km and needs to be boosted to an orbit of 352 km. Calculate the energy needed to boost the ISS to its new height.(adsbygoogle = window.adsbygoogle || []).push({});

m = 370,000 kg

M = 5.98 x 10^24 kg

G = 6.67 x 10^-11 Nm^2/kg^2

Initial distance from earths center = (6.38 x 10^6m) + 335000m

Final distance form eath's center = (6.38 x 10^6m) + 352000m

Using Ep = GMm/r

I calculated

Epi = (6.67x10^-11)(5.98x10^24)(370000)/((6.38x10^6)+(335000)) = 2.316682247E13

and

Epf = (6.67x10^-11)(5.98x10^24)(370000)/((6.38x10^6)+(352000)) =2.316676064E13

I found the difference of the two, and took it as my answer,6.2x10^7 J

I feel I'm doing something wrong, Thanks in advance for any help!

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# Homework Help: Energy required to move an object in orbit?

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