Question

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

Answer 1

Given:

Amount of extension in elastic spring∝ the weight hung on it

Extension produced by weight of 150 gm = 2.9 cm

To find:

What weight would produce an extension of 17.4 cm.

Solution:

150 produces 2.9 cm extension

Then 1 cm would be extended by 150/2.9 gm of weight.

∴ 1 cm will be extended by 51.72 gm of weight.

To produce an extension of 17.4 cm, 51.72*17.4 gm of weight will be needed.

Therefore to produce an extension of 17.4 cm, 900 gm of weight will be needed.

Therefore, the answer is 900 gm.

Answer 2

Answer:

Given:

x= 2.9 cm  I 17.4 cm

y= 150 gm I  Y

procedure:

=> 2.9   =  17.4

   150         y

=> 2.9y = 2610

=> y= 2610 x 10

           29

=>   y = 900

:. y= 900 gm