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] 1 P/ W1 ~7 b/ K2 X9 h* ~2 j( r- O* ]1 P
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] $ S5 n! O i' H7 I. P; ? 7 b3 o" P' Y/ w4 n8 M! j, Q0 r: @6 x" f; U" v: ]
so far what I have done is used the equation for GPE2 S" h. N* r+ g4 |( H& z* H+ T
which is 2 A/ y8 o4 A6 E. b) ^
U = - (G me m) / r 8 s% t# e# O$ h0 [' \9 r) Z; \$ a) {: h' B3 `9 `
where G is 6.674e-11 Nmkg-2& I1 P# I3 V$ C4 k. \
me is the mass of the planet 5.1e24 kg 0 r$ a {" i r. U
m is the mass of the space ship 5.9e4 kg 7 d1 }) Z% p% F7 X5 w7 E n" d9 ?5 b9 E+ 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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