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direct variation
Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. if a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

pls help (;ŏ﹏ŏ)​

Respuesta :

raphealnwobi

When a force of 270N is applied, the spring stretch by 7.5cm

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let F represent the force and x represent the extension, hence:

F ∝ x

F = kx; k is the constant of proportionality

When F = 180, x = 5, hence:

180 = 5k

k = 36

F = 36x

When F = 270:

270 = 36x

x = 7.5 cm

When a force of 270N is applied, the spring stretch by 7.5cm

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