You flew from Pomona, California, and went ice fishing with Grandpa on a lake in

Question

You flew from Pomona, California, and went ice fishing with Grandpa on a lake in rural Minnesota. You were concerned the ice would crack and you would fall with Grandpa onto the lake. The temperature right above the lake was 5C, Your Grandpa said the lake wont crack, it is 65 feet deep and the temperature at the bot- tom of the lake is 20C and he wanted to walk on the lake and start ice fishing. You didnt know if you should listen to Grandpa so you needed to calculate the thickness of the ice to see if it can hold. Your mass is 80 kg and your grandpas mass is 54 kg. Was Grandpa right?

Explanation / Answer

the linear temp is T = To + x dT/d

k A dT/d = a (A delta dprhp) L + integration A dx c rho dT)

K dT/d = delta x rho L + int dx c rhp dT

k dT/d = delta x *(rho L + rho k dT)

dx = 222*((15+273)/(65 * 0.3048)/(916 * (334 + 222*15)

dx = 0.003 ft

So Ice will break and grand pa is right

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