Question

Two springs A and B are identical except that A is stiffer than B i.e., $k_A$ > $k_B$. If the two springs are stretched by the same force, then

• A. more work is done on B i.e., $W_B$ > $W_A$
• B. more work is done on A i.e.,$W_A$ > $W_B$
• C. work done on A and B are equal
• D. work done depends upon the way in which they are stretched

Answer 1

The correct option is A more work is done on B i.e., $W_B$ > $W_A$

Given that A is stiffer than B $K_A>K_B$

On both the springs the force applied is same for A the spring constant is greater than that of B but the expansion is less thus the work for A will also be less than that for B.

$\left[A\right]$ More work is done on B i.e $W_B>W_A$