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JayKo
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An unmanned spacecraft moves in a circular orbit with speed v around the moon,observing the lunar surface at an orbital radius of R=1790 km.The period of the orbit is T.Unfortunately, an electrical fault causes an on board thruster to fire, reducing the speed of the spacecraft by [tex]\Delta[/tex]v=5 m/s. If nothing is done to correct its orbits. with what speed (in km/h) will the spacecraft crash into the lunar surface? Mass of moon=7.35[tex]\times[/tex]10[tex]^{22}[/tex] kg and Radius of Moon = 1740 km. Universal gravitational constant, G = 6.673[tex]\times[/tex]10[tex]^{-11}[/tex] Nm[tex]^{2}[/tex]/kg[tex]^{2}[/tex].
Now the question is, after calculating using conservation of Energy Method,
[K+U][tex]_{initial}[/tex]=[K+U][tex]_{final}[/tex].
the landing speed of the spacecraft is smaller than the escape velocity. why is that so? any one?
If the spacecraft orbiting without the electrical fault, is that speed suppose to be greater than,or lesser than then escape velocity in order for it to maintain at that orbit.
Thanks
Now the question is, after calculating using conservation of Energy Method,
[K+U][tex]_{initial}[/tex]=[K+U][tex]_{final}[/tex].
the landing speed of the spacecraft is smaller than the escape velocity. why is that so? any one?
If the spacecraft orbiting without the electrical fault, is that speed suppose to be greater than,or lesser than then escape velocity in order for it to maintain at that orbit.
Thanks
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