- #1

AsadaShino92

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## Homework Statement

A spring of negligible mass exerts a restoring force on a point mass M given by F(x)= (-k1x)+(k2x^2) where k1 and k2 >0. Calculate the potential energy U(x) stored in the spring for a displacement x. Take U=0 at x=0.

## Homework Equations

ΔU=∫F(x)dx

U=½kx^2

## The Attempt at a Solution

Using the equation above I tried to find the potential energy of the spring after it has been displaced by some distance x. I integrated F(x) from x=0 to some displacement x=x0.

ΔU=∫(-k1x)+(k2x^2)dx

ΔU=-k1½x0^2+k2⅓x0^3

Is this the right way in finding the potential energy?