The amount of extension in an elastic string varies dirctlyl as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, what would produce an extension of 17.4 cm?

Explanation

Let `x` gm be the weight that would produce an extension of `17.4` cm.
Since, the amount of extension in an elastic string and the weight hung on it are in direct variation.
∴ `150/x= 2.9/17.4`
`⇒ 17.4×150=2.9×x`
∴ ` x=900`
∴ The required weight will be `900` gm.