Question

A vertical spring of force constant $100N/m$ is attached with a hanging mass of $10kg$. Now an external force is applied on the same so that the spring is stretched by additional $2m$. The work done by the force is ($g=10m/s^2$)

• A. $200J$
• B. $400J$
• C. $450J$
• D. $600J$

Answer 1

The correct option is A $200J$

Given,

Spring Constant, $k=100N/m$

Additional elongation, $x=2m$

Work done, $W=\frac{1}{2}k{x}^2$

$=\frac{1}{2}\times 100\times 2^2=200J$