SUMMARY
The units of the spring constant K are definitively expressed in Newtons per meter (N/m). This conclusion is derived from Hooke's Law, which states that the force exerted by a spring is proportional to the displacement of the spring, represented mathematically as F = -Kx. The correct answer to the multiple-choice question is A. I only, as N/m is the only valid unit among the options provided.
PREREQUISITES
- Understanding of Hooke's Law and its mathematical representation.
- Basic knowledge of units of measurement in physics.
- Familiarity with force and displacement concepts.
- Ability to analyze multiple-choice questions in physics.
NEXT STEPS
- Study the derivation and implications of Hooke's Law in mechanical systems.
- Learn about the relationship between force, mass, and acceleration in physics.
- Explore the applications of spring constants in real-world engineering problems.
- Investigate the differences between elastic and inelastic materials in terms of spring behavior.
USEFUL FOR
Students studying physics, educators teaching mechanics, and engineers working with mechanical systems involving springs.