Physics

Problem

A light helical spring obeys Hooke’s law up to its elastic limit. a. (i) Derive an expression for the potential energy stored in the spring when it is stretched through a distance

x

from its natural length. b. (ii) The spring requires a force of

12\,\text{N}

to produce an extension of

0.04\,\text{m}

. Determine the spring constant

k

. c. (iii) Using the value of

k

obtained in part (ii), calculate the energy stored when the spring is compressed by

0.06\,\text{m}

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