Question

A weight of 450g produces an extension of 3.5cm in a elastic string,find how much weight is required to produce an extension of 1.75cm
answer with explaination​

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.

Answer 2

Answer:

a) 225kg

b) 70cm

Step-by-step explanation:

⇒

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