A certain spring obeys Hooke’s law with force constant for the first of compression

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A certain spring obeys Hooke’s law with force constant

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

for the first

3.0\,\text{cm}

of compression. Beyond this, further compression follows Hooke’s law with force constant

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

. Calculate the total elastic potential energy stored when the spring is compressed by

5.0\,\text{cm}

from its natural length.