Hooke’s law defines the relation between the force applied and the distance stretched in the spring. The force required to compress or extend a spring is directly proportional to the distance it is extended.
This is based on Newton’s third law of motion which states that for every action, there is an equal and opposite reaction. Think of stretching the spring as the action, and the natural recoiling of the spring to be the reaction.
According to Newton’s Third Law of Motion, it pulls back with a restoring force when spring is pulled. This restoring force follows the Law of Hooke, which relates the force of the spring to the spring constant. This relation when visualised mathematically, is called the spring constant formula.
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Force of the Spring = -(Spring Constant) x (Displacement)
F=−K*X
F=−KX
The negative sign indicates the opposite direction of the reaction force.
Where,
F: The spring’s restoring force directed towards equilibrium.
K: The constant of spring in N.m-1.
X: The displacement of the spring from its position of equilibrium.
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