The total length of a spring when a mass of 20g is hung from its end is 14cm, while its total length is 16cm when a mass of 30g is hung from the same end. C...

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The total length of a spring when a mass of 20g is hung from its end is 14cm, while its total length is 16cm when a mass of 30g is hung from the same end. Calculate the unstretched length of the spring assuming Hooke's law is obeyed.

9.33cm

10.00cm

10.66cm

12.00cm

15.00cm

Answer Details

Let unstretched length = L

e1 = 14 - L and e2 = 16 - L

Using, $\frac{m_{1}}{e_{1}}$ = $\frac{m_{2}}{e_{2}}$

$\frac{20}{14 - L}$ = $\frac{30}{16 - L}$

L = 10cm

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