As-the-force-on-a-string-increases-from-100N-to-180N-the-string-extends-by-10cm-The-work-done-in-increasing-the-tension-in-the-string-is-

Question Number 180157 by Tawa11 last updated on 08/Nov/22

As the force on a string increases from 100N to 180N, the string extends by 10cm. The work done in increasing the tension in the string is?

Answered by DvMc last updated on 08/Nov/22

W = F \times d

W = (180 N - 100 N) \times 0.1 m = 8 N m

Answered by mr W last updated on 08/Nov/22

W = \int F d s = \frac{100 + 180}{2} \times 0.1 = 14 J

o r

k = \frac{180 - 100}{0.1} = 800 N / m

W = E_{2} - E_{1} = \frac{k (s_{2}^{2} - s_{1}^{2})}{2}

= \frac{k}{2} [{(\frac{F_{2}}{k})}^{2} - {(\frac{F_{1}}{k})}^{2}] = \frac{F_{2}^{2} - F_{1}^{2}}{2 k}

= \frac{180^{2} - 100^{2}}{2 \times 800} = 14 J

Commented by Tawa11 last updated on 08/Nov/22

God bless you sir, I appreciate .

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