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The distance a spring stretches varies directly as the force applied. If a force of 140 newtons stretches a spring 4 cm, how much will a force of 350 newtons stretch the same string?

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tаskmasters
Let x represent the distance of spring stretch and F be the force. Then k is the constant of proportionality and we have, by direct proportions:
                                     F = kx
When F = 140, x = 4, thus k = F/x = (140 Newtons)/(4 cm) = 35 Newtons/cm.
Then, since x = F/35
                                      x = 350/35
                                      x = 10cm
The answer to this question is 10 cm.

A force of 350 newtons stretch the same string is 10cm

We have given, If a force of 140 newtons stretches a spring 4 cm,

What is the Hooks low?

Let x represent the distance of spring stretch and F be the force. Then k is the constant of proportionality and we have, by direct proportions

                                    F = kx

We have given that,

F = 140, x = 4,

Therefore,k = F/x

K= (140 Newtons)/(4 cm)

K= 35 Newtons/cm.

We have to find the value of x when F=350 and K=35

Then, since x = F/35

x = 350/35

x = 10cm

The answer to this question is 10 cm.

To learn more about the stretching string visit:

https://brainly.com/question/25217043

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