Question

A weight of 450 g produces an extension of 3.5 cm in a elastic string, find
(a) how much weight is required to produce an extension 1.75 cm.
(b) how much extension will be produced by 9 kg weight.​​

Answer 1

Answer:

Let x cm be the extension produced by the weight of 700 gm.

Weight ( in gm ) 250 700

Length ( in cm ) 3.5 x

Since, the amount of extension in an elastic spring varies and the weight hung on it is in direct variation, we get :

⇒

700

250

=

x

3.5

⇒ x×250=3.5×700

⇒ x=

250

3.5×700

⇒ x=

250

2450

⇒ x=9.8

∴ The required extension will be 9.8 cm.

JUST EXCHANGE IT WITH YOUR VALUES