Spring constant of trampoline and cradle

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Icy98
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1. The problem statement, all variables and given/known
Spring constant of trampoline and cradle


Homework Equations


k=F/x

The Attempt at a Solution


I think a trampoline should have a low spring constant so that the extension is bigger. Is this correct? For cradle, in my opinion, it should have a low spring constant too so that the extension is bigger and the babies are able to sleep soundly. However, according to the answers given, the spring of a cradle has high spring constant. Does anyone know which one is correct? If yes, please kindly explain to me.
 
on Phys.org
For a cradle the factor might be the period of the oscillations?