Use the following data to determine the length L of a wire when a fore 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})
(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: Option C
Explanation
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