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Mathematics 24 Online
Parth (parthkohli):

Another nice physics question.

Parth (parthkohli):

A space vehicle is approaching a planet with a speed \(v\) and is a long way out (treat it as infinity). The trajectory would miss the centre of the planet by distance \(R\) if it continued in a straight line. If the planet has a mass \(m\) and a distance \(r\), what is the smallest value of \(R\) in order that the resulting orbit will just miss the surface?

Parth (parthkohli):

So I'll try using conservation of energy here probably.|dw:1441717901150:dw|

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