the amount of extension in an elastic string in a direct variation with the with her on it if a weight of 250 produces an extension of 3.5 CM then what weight would produce an extension of 21cm
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Let x cm be the extension produced by the weight of 700 gm.
Weight (in gm)250700Length (in cm)3.5x
Since the amount of extension in an elastic spring varies and the weight hung on it is in direct variation, we have:250700 = 3.5x⇒x × 250 = 3.5 × 700⇒x = 3.5 × 700250= 2450250= 9.8
Weight (in gm)250700Length (in cm)3.5x
Since the amount of extension in an elastic spring varies and the weight hung on it is in direct variation, we have:250700 = 3.5x⇒x × 250 = 3.5 × 700⇒x = 3.5 × 700250= 2450250= 9.8
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