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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]
+ j% y/ s+ Q% P5 J: k3 W# r5 z4 O+ q# b' J9 @$ |# _, \
[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]# ^. s8 B8 |, l7 q9 }( z1 G7 J
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( [. ^, F. u1 G* u6 h! @so far what I have done is used the equation for GPE
3 |5 p7 `8 d; T0 \- y, j! V/ awhich is
! E" t. J! b9 ]% |$ W. o5 \# yU = - (G me m) / r
& R& }7 F# m5 H1 \3 a2 G4 q: w' D
, x* n- U' O$ K6 z6 swhere G is 6.674e-11 Nmkg-2
+ z8 e* V# j6 q3 c$ s8 D% \& e! ^me is the mass of the planet 5.1e24 kg
" H! m" K6 F7 `8 F5 W' ?5 u+ Gm is the mass of the space ship 5.9e4 kg
' t; `3 ^9 n+ ~ M4 c* m' ~! C1 p1 q, Br 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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狗仔卡
发表于 2009-11-10 21:41
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