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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]
7 a! \% e Z( n" D2 I# `8 C! {4 f5 U! R3 T( Y
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]! N$ ]8 \; g" B
x' Y) w- M6 z) U( f6 p
9 F5 z% x: \0 X% S- h! d4 x' Q( fso far what I have done is used the equation for GPE0 N' _" ^& \* f; u0 m" E9 i/ x
which is " g8 a& T" O, f7 B3 L; Z- s8 @
U = - (G me m) / r
0 D; T7 R9 T/ `, j2 d$ `' e5 O+ J+ L" [# \4 |
where G is 6.674e-11 Nmkg-25 |4 m- S% ~3 {, o
me is the mass of the planet 5.1e24 kg 9 C( Z6 r3 h2 L
m is the mass of the space ship 5.9e4 kg : T* w5 p9 U. a/ b4 B8 Z% \
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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发表于 2009-11-10 21:41
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