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## Homework Statement

Hi

I want to derive the equation of kinetic energy for a mass on two springs .. Here is the figure of the system:

http://faculty.ndhu.edu.tw/~clcheng/class-98/gen-phy98/gen-phy98-1-Q2s.pdf

Am I doing right for calculating the kinetic energy for the mass on two springs ?

## Homework Equations

ΔK = ∫ F(x) · dx

## The Attempt at a Solution

My attempt to solve the kinetic equation is by using this formula :

ΔK = ∫ F(x) · dx

so ΔK = (-2kx^2)/2 + ∫ 2kxL/(√(x^2 + L^2)) = (-2kx^2)/2 + 2kL*√(x^2 + L^2)

Am I doing right for calculating the kinetic energy for the mass on two springs ?

Thanks