Answered: 5 [a] A particle falls to Earth… | bartleby

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5
[a] A particle falls to Earth starting at a great height (many times
the Earth's radius). Neglecting the air resistance show that the particle
takes about of the total time of the fall, in traveling the first half of
the distance.
(b) A particle at rest is attracted towards a center of force according
to the relation F = -mk²/r³. Show that the time required to reach the
force-center from a distance d is given by d²/k.

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