Question

4j of work is required to stretch a spring through 10cm beyond its unstretched length the extra work required to stretch it through additional 10cm shall be

Answer 1

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Answer 2

Answer:

Extra work required = 12 J

Step-by-step explanation:

Work done to stretch the spring, W = 4 J

Distance through which the spring is stretched, x = 10 cm = 0.1 m

Work done is given by :

$W=\frac{1}{2}\cdot k\cdot x^2$

Therefore,

$k=\frac{2\cdot W}{x^2}=\frac{2\times 4}{(0.1)^2}=800\thinspace N/m$

Total work done in stretching the spring through x' = 20 cm = 0.2 m is given by :

$=\frac{1}{2}\cdot k\cdot x'^2=\frac{1}{2}\times 800\times (0.2)^2=16\thinspace J$

Therefore, extra work required = 16 J - 4 J

                                                      = 12 J