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An-elastic-cord-can-be-stretched-to-its-elastic-limit-by-a-load-of-2N-If-a-35cm-lemgth-of-the-cord-is-extended-0-6cm-by-a-force-of-0-5N-what-will-be-the-length-of-the-cord-when-the-stretching-force-

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Question Number 15734 by chux last updated on 13/Jun/17
An elastic cord can be stretched to its elastic limit by a load of 2N.If a 35cm lemgth of the cord is extended 0.6cm by a force of 0.5N, what will be the length of the cord when the stretching force is 2.5N? (a)350.8cm (b)352.8cm (c)353.0cm (d)356cm (e)cannot be determined from the data given
$$\mathrm{An}\:\mathrm{elastic}\:\mathrm{cord}\:\mathrm{can}\:\mathrm{be}\:\mathrm{stretched}\:\mathrm{to} \\ $$$$\mathrm{its}\:\mathrm{elastic}\:\mathrm{limit}\:\mathrm{by}\:\mathrm{a}\:\mathrm{load}\:\mathrm{of}\:\mathrm{2N}.\mathrm{If}\: \\ $$$$\mathrm{a}\:\mathrm{35cm}\:\mathrm{lemgth}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cord}\:\mathrm{is} \\ $$$$\mathrm{extended}\:\mathrm{0}.\mathrm{6cm}\:\mathrm{by}\:\mathrm{a}\:\mathrm{force}\:\mathrm{of}\:\mathrm{0}.\mathrm{5N}, \\ $$$$\mathrm{what}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cord} \\ $$$$\mathrm{when}\:\mathrm{the}\:\mathrm{stretching}\:\mathrm{force}\:\mathrm{is}\:\mathrm{2}.\mathrm{5N}? \\ $$$$\left(\mathrm{a}\right)\mathrm{350}.\mathrm{8cm} \\ $$$$\left(\mathrm{b}\right)\mathrm{352}.\mathrm{8cm} \\ $$$$\left(\mathrm{c}\right)\mathrm{353}.\mathrm{0cm} \\ $$$$\left(\mathrm{d}\right)\mathrm{356cm} \\ $$$$\left(\mathrm{e}\right)\mathrm{cannot}\:\mathrm{be}\:\mathrm{determined}\:\mathrm{from}\:\mathrm{the}\: \\ $$$$\mathrm{data}\:\mathrm{given} \\ $$
Commented by mrW1 last updated on 13/Jun/17
what is the length of the cord? 35cm or 350cm? but anyway, the answer is (e).
$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cord}?\:\mathrm{35cm} \\ $$$$\mathrm{or}\:\mathrm{350cm}? \\ $$$$\mathrm{but}\:\mathrm{anyway},\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\left(\mathrm{e}\right). \\ $$
Commented by chux last updated on 13/Jun/17
in the textbook its 35cm
$$\mathrm{in}\:\mathrm{the}\:\mathrm{textbook}\:\mathrm{its}\:\mathrm{35cm} \\ $$
Commented by mrW1 last updated on 13/Jun/17
even if the length were 350 cm, the answer is (e). after the elastic limit is reached, the length change of cord is not proportional to the acting force.
$$\mathrm{even}\:\mathrm{if}\:\mathrm{the}\:\mathrm{length}\:\mathrm{were}\:\mathrm{350}\:\mathrm{cm}, \\ $$$$\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\left(\mathrm{e}\right).\:\mathrm{after}\:\mathrm{the}\:\mathrm{elastic}\:\mathrm{limit} \\ $$$$\mathrm{is}\:\mathrm{reached},\:\mathrm{the}\:\mathrm{length}\:\mathrm{change}\:\mathrm{of}\:\mathrm{cord}\:\mathrm{is} \\ $$$$\mathrm{not}\:\mathrm{proportional}\:\mathrm{to}\:\mathrm{the}\:\mathrm{acting}\:\mathrm{force}. \\ $$

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