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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]
! b! y" @7 \% Y' I6 m x- o! s+ ~; X8 O. B$ u' {# w0 ?6 ?
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
; J" D# r2 n: ~# G* b0 {6 M# f: t! \* p7 r
+ Y/ O* Y2 {8 K0 Y5 I# H8 i
so far what I have done is used the equation for GPE( g, o- N; P' w' H$ |. X
which is 4 M1 C6 w1 k, o9 V* i8 E
U = - (G me m) / r1 _8 Y% L, H4 Q6 n5 k
9 U5 ]2 v; G% B3 P/ b4 K- b7 g" w7 @where G is 6.674e-11 Nmkg-2
; k# k! l% N8 r2 C, R4 [me is the mass of the planet 5.1e24 kg
( X" U6 p0 b- u3 [( E0 v4 }2 |m is the mass of the space ship 5.9e4 kg
' U; v. N' n4 E# g1 U0 sr 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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