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A company is making Newton metres using 150 N/m springs. How far from the 0.0 N mark until the 10 N mark need to be? ​

Respuesta :

The 10 N mark must be at a distance of 6.67 cm from the 0 N mark

Explanation:

We can solve this problem by using Hooke's law.

In fact, the restoring force in a spring is given by (in magnitude)

[tex]F=kx[/tex]

where

F is the force applied

k is the spring constant

x is the elongation of the spring

For the spring in this problem, we have

k = 150 N/m

F = 10.0 N (force applied)

Solving the equation for x, we find

[tex]x=\frac{F}{k}=\frac{10}{150}=0.0667 m[/tex]

So, the 10 N mark must be at 6.67 cm from the 0.0 N mark.

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