Physics

Problem

24. For a particular nonlinear spring, the relationship between the magnitude of the applied force

F

and the resultant displacement

x

from equilibrium is given by the equation

F=k x^{2}

. What is the amount of work done by stretching the spring a distance

x_{o}

? (A)

k x_{o}{ }^{3}

(B)

\frac{1}{2} k x_{o}

(C)

\frac{1}{2} k x_{o}{ }^{3}

(D)

1 / 3 k x_{o}{ }^{2}

(E)

1 / 3 k x_{o}{ }^{3}

(A)

k x_{o}{ }^{3}

(B)

\frac{1}{2} k x_{o}

(C)

\frac{1}{2} k x_{o}{ }^{3}

(D)

1 / 3 k x_{o}{ }^{2}

(E)

1 / 3 k x_{o}{ }^{3}