Discussion of the Question 06/04

THIN ICE

The question was:

Why can a person run on thin ice (over a pond), but cannot stand on it?





(9/04): Sam Crown from Gresham, Oregon, USA (e-mail samcrown@earthlink.net) sent us an email correctly identifying the reasons for thin ice supporting the runner. He wrote:

The non-compressible water beneath the ice has to flow away from the area under the runner's feet before the ice can bend. Given the inertial and viscous nature of the water, this flow process isn't instantaneous; if the load applied beneath the runner's boots is quickly applied and released, the ice won't deflect enough to fail. When the runner stops, the water beneath the ice flows out from under his feet and the ice bends and breaks.


Can we make this solution more quantitative?


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