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A space craft of mass 5.9×104 kg is in orbit around a planet of 5.1×1024 kg. If the planet can be assumed to be a uniform sphere of radius 5.4×106 m and the space ship is orbit a height of 6.9×105 m above the surface what is the gravitational potential energy of the ship? [G=6.674×10-11 Nm2kg-2]
6 |. T) n: z6 M0 F) ^$ W/ f! L
: h9 ~7 g, a0 @ y[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]7 b- \" e9 i' ~0 }. L6 {# I/ t
: ?+ S6 n/ z8 C j7 @& v
, w2 a+ ^+ m3 N4 W" |/ C" Zso far what I have done is used the equation for GPE. r0 G( S( u, S- ?# V
which is : _# m) K8 y. a2 y1 ~/ T4 i
U = - (G me m) / r- q b% i! s: i# S% l1 j+ O
1 q6 C# _% t! H0 j) _7 hwhere G is 6.674e-11 Nmkg-2
# m" a4 B! V- h% x! F$ ~me is the mass of the planet 5.1e24 kg
- q8 e8 G# \5 ^0 g, Vm is the mass of the space ship 5.9e4 kg % `; ]# d0 D2 @
r is (i think) the radius of the planet (5.4e4 m) added to the height of the space ship is above the planet (6.9e5 m) and then divided it into G me m |
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