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]" `. q S( M2 |/ G
& T/ y5 p6 F/ U) g# @( Z6 h
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.] 8 u8 j$ y% `6 a! H # ]) w- ^/ b( s% G$ q2 m' c; d' y7 `( O# Y: \: p, D H% i
so far what I have done is used the equation for GPE" j3 o' S2 d9 W( y* T
which is # R& b% E0 @4 I8 ^# H$ v/ q. a; VU = - (G me m) / r" s0 P4 B1 g5 x0 ^2 H
2 i/ Q/ h+ F/ w [ i9 w0 Q" ]) {where G is 6.674e-11 Nmkg-2 2 a( A/ J t6 C! Lme is the mass of the planet 5.1e24 kg ( k0 e/ u+ B. \5 X9 E/ R# ?' O/ {m is the mass of the space ship 5.9e4 kg 5 R) L/ E( C/ I1 D( _1 k5 n% m2 `' q0 Nr 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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4 S0 q; b* e$ ~6 e