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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]
1 e( Q6 Y8 z3 U3 p
) r9 P2 R8 S6 l- g+ h9 ?[Specify units of 'J', 'kJ', 'MJ' or 'GJ' in your answer.]
+ A1 J4 x! \+ ]! p4 [% }7 l8 U7 C, ~/ ^2 k* C
) y8 m6 k& i; E: x
so far what I have done is used the equation for GPE
: {* q# P! q5 ~ qwhich is
5 Y$ X3 i5 R4 W; Q7 I7 v0 tU = - (G me m) / r5 x5 \, R; n+ r0 Q
: c) j8 g: u g, J2 G- v
where G is 6.674e-11 Nmkg-2
) d6 g9 M9 _8 w1 \; dme is the mass of the planet 5.1e24 kg
7 @ H/ Q0 V1 B1 z: jm is the mass of the space ship 5.9e4 kg
* a i! a9 x8 }& w* ?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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