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## Homework Statement

A nonlinear spring has a temperature dependent force law,

[itex]F = -\frac{K}{T}(L-L_o)^3[/itex]

At a temperature [itex]T = T_o[/itex] and length [itex]L = L_o[/itex] the specific heat at a constant length is [itex]C_L = C_o[/itex]. What is the specific heat at [itex]T = T_o[/itex] when the spring is stretched to length [itex]2L_o[/itex]?

## Homework Equations

## The Attempt at a Solution

I am really not sure where to start. Am I supposed to use the general dU=dQ-dW equation and somehow work the spring into that using the force equation and then solve for a specific heat equation? Any advice would be great. Thanks.