Identical springs of steel and copper are equally stretched. On which, more work will have to be to done?

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Identical springs of steel and copper are equally stretched. On which, more work will have to be to done?

Answer:

When identical steel and copper springs are stretched equally, force is given as:

$W\alpha \Delta l$

Because the springs are the same, their length and area will likewise be equivalent.

$\Delta l\alpha \frac{l}{Y}$

From both the equations, it can be said that :

$\frac{{{W}_{steel}}}{{{W}_{copper}}}=\frac{{{Y}_{copper}}}{{{Y}_{steel}}}$

$\Rightarrow {{W}_{steel}}<{{W}_{copper}}$

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