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 [' M" {' d* g i9 s( J& H9 b( y k6 }. S* P+ Z
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]* }/ a% I; ?6 ?9 y
F% V# s. v; D' ~0 [. C
6 ~# T: Y* S# t/ S6 p- B9 c; _
so far what I have done is used the equation for GPE 7 ]0 N6 Z. \* C4 K, I. k% t# B! ewhich is k/ D- O: }& N( {8 O: wU = - (G me m) / r$ u) `8 w# N4 E; o* O7 e
5 X- H4 w; }' m. K3 b$ |# Rwhere G is 6.674e-11 Nmkg-2 ; O! T; x/ a8 O# Y9 yme is the mass of the planet 5.1e24 kg + A/ W5 k$ \ |2 ^1 X
m is the mass of the space ship 5.9e4 kg 3 D6 Q$ P4 W, w& |& ur 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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发表于 2009-11-10 21:41
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