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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]
+ [2 L) `$ \# \* \* q6 h
2 y+ I4 \& J4 G) j8 ~/ R[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.], {8 u2 z8 }2 I/ Q: Q5 P9 A5 H
, x4 A3 _0 `+ C) n
; U3 ~: u9 P: q* gso far what I have done is used the equation for GPE
' b q- @* _' S) jwhich is $ \' r: W0 n2 Y. i: s' ~
U = - (G me m) / r
& _6 I* F! _ ?7 w, W9 n
! T8 Y( o! t% @; x- X" Qwhere G is 6.674e-11 Nmkg-26 N+ b/ N' [! d% ?. T% H
me is the mass of the planet 5.1e24 kg / l! i8 Z, b2 X+ K% [
m is the mass of the space ship 5.9e4 kg
( ~0 S4 j) a6 B+ N8 }" J6 Br 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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