In article <> of rec.puzzles, (Jens Joergen Nielsen) wrote:

Suppose the Earth suddenly stopped. How long time will it take until it hits the Sun ?

Please make the following assumptions:

  1. The Earth's orbit is circular.
  2. The Sun is MUCH heavier than the Earth.
  3. The size of the two objects are very small compared to the radius of the orbit.
  4. The only force acting on the Earth is the gravitional attraction to the Sun.
  5. No relativistic effects occur.
My solution involves a lot of integration and stuff, but the result is so simple, that I suspect there might be a simple way of looking at the problem, that I don't know of.

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