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The unit used to measure the SPRING CONSTANT is __ newton (N) newton metre (Nm) newtons per metre (N/m) metre (m)

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The unit used to measure the SPRING CONSTANT is __ newton (N) newton metre (Nm) newtons per metre (N/m) metre (m)

The unit used to measure the SPRING CONSTANT is __ newton (N) newton metre (Nm) newtons per metre (N/m) metre (m)

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HaydenMaster · Tutor for 5 years

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newtons per meter ( \( \mathrm{N} / \mathrm{m} \) )

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## Step 1: Understanding the concept of spring constant<br />The spring constant, also known as Hooke’s constant, is denoted by 'k', and it has units that represent force divided by length. This is derived from Hooke's law which states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed. <br /><br />## Step 2: Identifying the formula for spring constant<br />The formula for Hooke's law is: \( F=kx \), where F is the force, k is the spring constant, and x is the distance the spring is stretched or compressed. <br /><br />### The formula for the spring constant is: \( k = \frac{F}{x} \)<br /><br />## Step 3: Determining the unit for spring constant<br />From the formula, we can see that the unit of the spring constant is the unit of force divided by the unit of length. In the International System of Units (SI), this is newtons per meter ( \( \mathrm{N} / \mathrm{m} \) ).<br /><br />## Step 4: Matching the correct option<br />Among the given options, the unit that represents force per unit length is newtons per meter ( \( \mathrm{N} / \mathrm{m} \) ).
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