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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]0 n. w/ K7 t4 B% ~
7 o# j, H5 p+ D5 W' Z, [- K' m[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]: W1 `3 E" ^0 y( p3 r
- d, L! e# a. R- s7 n, x- H
) l+ V! t8 D- y( l* mso far what I have done is used the equation for GPE
4 G# D; w& n1 @ i* Y0 |which is 7 }4 r9 W9 L# q8 R) [$ K8 u7 \6 l
U = - (G me m) / r
" {5 k+ L: S4 {: e
D% R; N8 A$ ^" K4 iwhere G is 6.674e-11 Nmkg-28 O8 [4 c2 I" r8 K' A
me is the mass of the planet 5.1e24 kg
1 ]- l& ^3 Y$ O" c! Ym is the mass of the space ship 5.9e4 kg
, {3 D+ x7 j, xr 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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