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Use the following data to determine the length L of a wir...

Use the following data to determine the length L of a wire when a force of 30N is applied, assuming Hooke's law is obeyed
\(\begin{array}{c|c}\text{Force applied/N} & 0 & 5 & 10 & 30\\ \hline \text{length of wire/mm} & 500.0 & 500.0 & 501.0 & L \end{array}\)

A.

3.0mm

B.

3.5mm

C.

503.00mm

D.

503.5mm

E.

506.0mm

Correct answer is C

F \(\alpha\) e

F = ke

K = \(\frac{F}{e} = \frac{5}{0.5} = 10\)

when F = 30, e = \(\frac{F}{K} = \frac{30}{10} = 3\)

L = 500 + 3 = 503.00