# Tides above, and tides below

Classical Mechanics Level pending

Suppose $$g_\downarrow(h)$$ is the acceleration due to gravity at a depth $$h$$ below Earth's surface, while $$g_\uparrow(h)$$ is the acceleration due to gravity a height $$h$$ above Earth's surface. Form the function $f(h) = \frac{g_\downarrow(h)}{g_\uparrow(h)}.$

How does $$f(h)$$ vary as we move from $$h=0$$ to $$h=R$$?

Details

• Assume Earth to be a uniform sphere of radius $$R$$.

This problem is originally part of set Mechanics problems by Abhishek Sharma. Try more problems here.

×