When one moves from a point 16 km below the earth's surface to a point 16 km above the earth's surface, the change in g is approximately α %. The value of α is . Take the radius of the earth as 6400 km.

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Accepted Answer

(2) 0.25. Both points fall short of the surface value of g, so work out each shortfall and then compare them. Below the surface g_d=g(1-d/R), and above it gₕ≈ g(1-(2h)/R) since h R. The change between the two points is therefore (2h-d)/R of g, the depth term counting once and the height term twice. With h=d=16 km and R=6400 km: (32-16)/(6400)=(16)/(6400)=0.0025. That is 0.25 %, so α=0.25.

When one moves from a point 16 km below the earth's surface to a point 16 km above the earth's surface, the change in g is approximately α %. The value of α is ______ . Take the radius of the earth as 6400 km.

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