. An alien spacecraft wishes to visit Earth, but in order to do so it must first escape its hom planet D'Qar. D'Qar has a mass 3 x 1024 kg and radius 7 x 10° m. (a) Write down an equation for total mechanical energy E of an object in a circular orb around a planetary body, and use it to derive an equation for the escape velocity of th alien spacecraft. (b) Calculate the velocity the alien spacecraft needs to obtain to leave its home world. (c) Briefly explain what will happen if the alien spacecraft is launched with a velocit

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6. An alien spaceeraft wishes to visit Earth, but in order to do so it must first escape its home
planet D'Qar. D'Qar has a mass 3 x 1024 kg and radius 7 x 10° m.
(a) Write down an equation for total mechanical energy E of an object in a circular orbit
around a planetary body, and use it to derive an equation for the escape velocity of the
alien spacecraft.
(b) Calculate the velocity the alien spacecraft needs to obtain to leave its home world.
(c) Briefly explain what will happen if the alien spacecraft is launched with a velocity
greater than the escape velocity. What type of orbit will the spacecraft follow?
Transcribed Image Text:6. An alien spaceeraft wishes to visit Earth, but in order to do so it must first escape its home planet D'Qar. D'Qar has a mass 3 x 1024 kg and radius 7 x 10° m. (a) Write down an equation for total mechanical energy E of an object in a circular orbit around a planetary body, and use it to derive an equation for the escape velocity of the alien spacecraft. (b) Calculate the velocity the alien spacecraft needs to obtain to leave its home world. (c) Briefly explain what will happen if the alien spacecraft is launched with a velocity greater than the escape velocity. What type of orbit will the spacecraft follow?
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