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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 q2 R' B' ~8 G0 X6 |- j& A$ D' E
7 D' T0 e- |- H+ E. f[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
|7 Z$ c7 Z) H6 {2 W3 b o/ C/ D, U9 c' M
) ^, O Y, f- x# y4 z8 i kso far what I have done is used the equation for GPE
. v2 \9 O+ z7 N- y; Ywhich is
1 ]1 U& D# T- u. c2 \) c* w4 WU = - (G me m) / r
8 k3 t. _/ r! Y }/ ^; \% @) w5 y; m, q
where G is 6.674e-11 Nmkg-2
- p$ @; V4 ^) f( I1 G# xme is the mass of the planet 5.1e24 kg
/ E" F9 V* [( C3 y% lm is the mass of the space ship 5.9e4 kg + y/ q9 X3 r$ C5 C
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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