Question

Consider the force vs. displacement graph is shown above for an ideal spring.
Calculate the work done in stretching the spring from 0.2 m to 0.3 m ?

• A. 1 J
• B. 10 J
• C. 0.10 J
• D. 0.15 J
• E. 1.5 J

Answer 1

Answer: (D)

0.15 J

Work done in stretching a spring=$\int F.dx$= Area under the curve.

Hence in moving from $x=0.2m$ to $x=0.3m$, the work done is equal to the area of the trapezium present below.

Hence $W=\frac{1}{2}\times (1+2)\times 0.1J=0.15J$