Question

The amount of extension in an elastic string varies directly as the weight hung on it. If a weight of 180

gm produces an extension of 5.625 cm, then what weight would produce an extension of 22.5 cm?




give me helpful answer​

Answer 1

Answer:

Let x gm be the weight that would produce an extension of 17.4cm

Weight ( in gm ) 150 x

Length ( in cm ) 2.9 17.4

Since, the amount of extension in an elastic string and the weight hung on it are in direct variation.

∴

x

150

=

17.4

2.9

⇒ 17.4×150=2.9×x

⇒ x=

2.9

17.4×150

⇒ x=

2.9

2610

∴ x=900

∴ The required weight will be 900 gm.

I hope it's help ful to you

Answer 2

Step-by-step explanation:

Answer

Let x gm be the weight that would produce an extension of 17.4cm

Weight ( in gm ) 150 x Length ( in cm ) 2.917.4 Since, the amount of extension in an elastic string and the weight hung on it are in direct variation.

∴  x150=17.42.9

⇒  17.4×150=2.9×x

⇒  x=2.917.4×150

⇒  x=2.92610

∴  x=900

∴  The required weight will be 900 gm