Question

A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table

Weight (kg)	2	4	5	8
Length (cm)	3	4	4.5	6

How long will the spring be when 6 kilograms of weight on it?

Answer 1

Next we find the length of the string

When a weight of 6 kg is added.

Put x = 6 in equation (1)

6 – 2y + 4 = 0

⇒ 2y = 10

⇒ y = 5 cm

∴ Required length is 5 cm.