The amount of extension in an elastic string 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?
Let us consider the weight produce be ‘x’ gm.
| Extension (cm) | 2.9 | 17.4 | | Weight (gm) | 150 | x |
2.9/150 = 17.4/x
By cross-multiplying
2.9x = 150(17.4)
2.9x = 2610
x = 2610/2.9
= 900
∴ 900 gm of weight is produced for an extension of 17.4 cm.
