Question

in the seventeenth century, robert hooke conducted many experiments with springs. in all the data he recorded, he found that the force needed to push down on a spring or stretch it out from its usual resting point was equal to the springs stiffness multiplied by the distance it is pushed or pulled from its resting point. he wrote the equation ( f = kx ), in which ( f ) is the force, ( k ) is the springs stiffness, and ( x ) is the distance the end of the spring moves from its usual resting point when no push or pull is applied. the equation is still used today. which best describes hookes equation? it is a law, because it explains why a force must be applied to push or pull a spring. it is a law, because it states how force relates to a spring but does not explain why. it is a theory, because it explains why a force must be applied to push or pull a spring. it is a theory, because it states how force relates to a spring but does not explain why.

Explanation:

• A scientific law describes a relationship or pattern in nature. Hooke's equation \(F = kX\) shows the relationship between force (\(F\)), spring stiffness (\(k\)), and displacement (\(X\)). It states how these quantities are related but does not explain the underlying cause (why).
• A theory, on the other hand, is a well - tested explanation for a wide range of observations. Hooke's equation is not an explanation (like why the force - spring relationship exists), but a description of the relationship.

Answer:

It is a law, because it states how force relates to a spring but does not explain why.