The value of spring constant k depends on ________.

  1. elastic properties of the material.
  2. force acting
  3. spring length
  4. spring stretched or compressed

Answer (Detailed Solution Below)

Option 1 : elastic properties of the material.
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Detailed Solution

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CONCEPT:

Spring force: In an ideal spring, the force required to stretch a string from its equilibrium position is directly proportional to the extension of the spring.

This is known as Hooke's law for springs:

Fs = -kx

Where Fs is the spring force, x is the displacement from the equilibrium position and k is the spring constant.

The spring constant is the property of the spring.

EXPLANATION:

Option 1: The spring constant is the characteristic property of the spring.

The value of the spring constant depends on the elastic properties of the spring how the spring applies force when it is stretched.

Option 2: it does not depend on the force applied. Force applied can change the extension of the spring.

Option 3: Spring constant solely does not depend on the spring length. 

Option 4: Spring constant does not depend on the extension or compression of the spring. Extension or compression of the spring depends on the force applied.

So the correct answer is option 1.

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