Posted by anna on Wednesday, November 2, 2011 at 11:16pm.
Use Stokes' drag equation for the terminal velocity.
Stoke's equation says, for a sphere in a viscous fluid,
F=6(pi)RnVc,
where F is the force, R is the radius of the sphere, n is the viscosity, and V is the velocity through the fluid.
For the force F, use the weight minus the buoyancy force.
Divide the lake depth by that velocity.
Make that last term V, not Vc
a) Vterm = (mg)/(6pi N R)
b)V term = ((4/3)pi R^3)pg))/(6pi N R)
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