Q1) The amount of extension in an elastic string is in direct variation with the weight hung on it .if a weight of 250g produces an extension of 3.5 cm, then what weight would produce an extension of 21 cm?
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Answer:
Let the number of weight produced by an extension of 21cm be 'x'
Weight -- 250 x
extension-- 3.5 cm 21cm
Varies directly
250*10/35 = x/21
250*10*21/35 = x
1500cm = x
\begin{gathered}so \: therefore \: the \: number \: of \\ weight \: produced \: by \: an \\ extension \: of \: 12cm \:is \\ 1500\end{gathered}
sothereforethenumberof
weightproducedbyan
extensionof12cmis
1500
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