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Two springs A and B are identical but A ...

Two springs A and B are identical but A is harder than `B(k_A gt k_B)`. On which sping more work will be done, if (a) they are stretched through the same distance, (b) stretched by same force?

Text Solution

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As `W = 1/2 kx^2` and `k_A gt k_B`
The work done on spring A will be more than work done on spring B.
b) As `W = 1/2 kx^2 = 1/2 ((kx)^2)/(k) = 1/2 (F^2)/k`
Since `k_A gt k_B, W_A lt W_B`, i.e. more work is done in case of spring B than spring A.
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