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What is the change in gravitational potential energy of a 6200kg satellite that lifts off from Earth's surface into a circular orbit of altitude2500km?

i did this...

r = rE +h

=6.38 x10^6m + 2.5 x10^6m

r=8.88 x10^6m

Eg= -GMm

r

=-6.673x10-11N m2/kg2 (5.98 x10^24kg)(6200kg)

8.88 x10^6m

Eg=-2.786127793 x10^11J

Eg=mgh

=6200kg(9.82m/s2)(-2.5 x10^6m)

Eg=-1.52055 x10^11J

Change in Gravitational Potential Energy

∆ Eg = Eg - Eg

=-2.786127793 x10^11J – (-1.52055 x10^11J)

∆ Eg =-1.265577793 x10^11J

but the answer on my book is 1.1x10^11J, can anyone check this, coz im not sure where is the mistake.. thanks for the help

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# Homework Help: Energy of orbiting satellites

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