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You haven't said 'half' of WHAT .

I'll assume that you mean "half of what it is on the surface", and

I shall now proceed to answer the question that I have invented:

(x/earth radius)2 = 2

x = (earth radius) times sqrt(2) =

  • 9,010 km (5,599 miles) from the center
  • 2,639 km (1,640 miles) from the surface
(all rounded)
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Q: What distance from centre of earth where value of g is half?
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