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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]
- w, X9 r, }) ?' o; I9 J0 y& @6 u# h: t0 o
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]% g0 g1 B3 \' a5 y. z, C7 [: ~
/ O: ^4 a o. [( M. U' q
7 N; c9 r$ D# M& S
so far what I have done is used the equation for GPE
$ A0 |$ h, ^# p" Qwhich is
0 U8 p$ t; M: a, T, l3 }1 r% SU = - (G me m) / r
6 l) n; n, u+ A) X& N- q! [, G) }) a9 ^. i
8 F, d- t9 F9 ?where G is 6.674e-11 Nmkg-2, D& f( f7 k; @. ?
me is the mass of the planet 5.1e24 kg
* x# x( ` D) e1 \( um is the mass of the space ship 5.9e4 kg 3 H- ^! Y7 Y4 y- N: Z$ Z: m
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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