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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]
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f1 w! ~& \0 T7 J& I: q[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
Y1 L) [0 S8 |* s* d: O5 y. c' a$ Z' n
. f3 P) A# j% ^% x1 I% r" d! uso far what I have done is used the equation for GPE( A. [6 h, a5 V# G* n
which is
7 Z- _, p8 v; Z6 lU = - (G me m) / r, f( D; M$ M' S5 p1 b% o
7 b5 w, k# p2 y0 J4 [+ V' Wwhere G is 6.674e-11 Nmkg-20 q: \# x. X1 M2 G
me is the mass of the planet 5.1e24 kg
; y) S1 N- T. F; E$ k4 ]; Q1 F: \m is the mass of the space ship 5.9e4 kg
/ [7 L2 e; O5 S# D6 Er 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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