Question

If a spring requires 20 Newtons to be compressed a distance of 10 centimeters, what is the spring constant in N/m (newton meters)?

Answer 1

Answer:

20 N / 0.1 meters

Explanation:

10 centimetres is equal to 1 tenth of a meter or 0.1 meters.

Answer 2

Spring constant tells about the stability of spring. The spring constant of the given spring is 200 N/m.

Spring constant:

It is the measure of the strength of which can be calculated by the ratio of the force applied to compress or stretch the spring to the distance of stretch or compress.

From Hooke's law,

$k = \dfrac Fd$

Where,

$k$- spring constant

$f$- force = 20 N

$d$- distance =  10 cm = 0.1 m

Put the values in the formula,

$k = \dfrac {20}{0.1\\}\\\\k = \bold{200 \rm \ N/m}$

Therefore, the spring constant of the given spring is 200 N/m.

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