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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]# G# u8 d6 s* \" J1 U
! j _( g( i; B9 Y[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
4 e3 K$ s4 x2 I! I% a8 h* \1 e, p
5 v/ R, i" e/ D* O' ^# U+ b% C
9 O) H+ H" u5 m3 l$ oso far what I have done is used the equation for GPE
$ R3 ]; K8 e9 I8 x6 Q qwhich is
% c1 g0 Y7 m$ Q1 I, x, F/ o% `U = - (G me m) / r" x) Z$ m0 N0 Z. }2 [+ o
6 O' m2 e, t/ d% f$ A J: ~& kwhere G is 6.674e-11 Nmkg-2
: j" J. [. j' gme is the mass of the planet 5.1e24 kg
# _2 P0 b8 Y' y" A9 b) z8 Y8 W3 Im is the mass of the space ship 5.9e4 kg
7 N) J% n' X0 R0 \; B- J2 m& Rr 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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