Two springs of constants and are connected in series

PHYSICS · Single correct · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Two springs of constants

100\,\text{N\,m}^{-1}

and

200\,\text{N\,m}^{-1}

are connected in series. The combination is pulled by a force of

10\,\text{N}

. What is the total elastic potential energy stored in the two–spring system? (a)

1.5\,\text{J}

(b)

0.25\,\text{J}

(c)

0.75\,\text{J}

(d)

0.50\,\text{J}