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From One North Pole to the Other (Posted on 2019-06-21) Difficulty: 5 of 5
There are two identical uniform spherical planets of radius R. The first has its center at the origin of the xyz coordinate system. The second has its center at (2R, 0, 0). The planets are touching.

A projectile is launched from the "North Pole" of the first planet at (0, 0, R) with its initial velocity pointed in the direction of the vector (1, 0, 1).

Let the escape speed relative to the planet's surface be ve. Note that here, the escape escape is for a single planet in isolation (following the typical convention).

With the given launch vector, let v0 be the minimum launch speed for the projectile to reach the "North Pole" of the second planet at (2R, 0, R).

How are the two speeds ve and v0 related?

No Solution Yet Submitted by Danish Ahmed Khan    
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re(2): Great Info | Comment 12 of 21 |
(In reply to re: Great Info by natalie)

A second without seeing each other like this life is so lonely The sky was cloudy, blue and blue when I smiled a little One day he knows all the reasons for the pleasures of life The day that predestined relationship brought us together. 1v1 lol fireboy and watergirl
  Posted by les chrapid on 2020-08-20 02:52:27

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