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 N" W$ {7 H, M: ]) K& v; l `
. c/ `/ N# t8 A( S- o1 k[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]* d# V0 E: S3 v) H! \
- u1 H8 b5 i+ l7 V: z' T8 w1 F + W! K9 s$ Y7 W' ^* {. Uso far what I have done is used the equation for GPE" D) ]7 _6 Z; f# ~) z
which is 7 Q8 Z: L7 l1 T9 Z0 S
U = - (G me m) / r+ F/ c; ` ^5 |# Y0 h
% V" v" K- ^2 k$ o! K* Cwhere G is 6.674e-11 Nmkg-2 2 W$ A1 P; }$ I4 W/ Pme is the mass of the planet 5.1e24 kg 5 m/ R+ S7 T8 u/ s( @m is the mass of the space ship 5.9e4 kg * k, W9 o3 }7 b0 p% e$ q
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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