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April 16, 2014

April 16, 2014

Posted by **Christina** on Wednesday, November 14, 2007 at 7:10pm.

Just after the prince has started to climb at constant speed, while he is still near the bottom of the hair, by how many centimeters does he stretch Rapunzel's hair?

What is the mass of the heaviest prince that could climb up, given that the maximum tensile stress hair can support is 196 MPa? (Assume that Hooke's law holds up to the breaking point of the hair, even though that would not actually be the case.)

- Physics -
**drwls**, Wednesday, November 14, 2007 at 8:49pm(delta L)/L = (stress)/E

Stress = 4 M g /(pi d^2)

E = 490*10^6 N/m^2

M = 60 kg

d = 0.0200 m)

L = 20 m

g = 9.8 m/s^2

Solve for delta L

For the maximum load question, set

4 Mg/(pi d^2)= max stress = 196*10^6 N/m^2

Since a single hair that is tugged on is often more likely to be pulled out than break, it is quite likely that the overweight prince will pull all her hair out rather than break it.

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