A light, ideal spring obeys the relation when it is stretched or compressed through a…
PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power
Problem
A light, ideal spring obeys the relation F=−kx when it is stretched or compressed through a distance x from its natural length.
(i) Write the meaning of each symbol appearing in the above relation.
(ii) Starting from the given relation, obtain an expression for the work done in stretching the spring slowly from x=0 to x=x0. Show that the result is 21kx02. State each mathematical step clearly.
(iii) Hence identify the quantity 21kx2 and explain why it is referred to as the elastic potential energy stored in the spring.