The unit of spring constant is

The correct answer is Option 3: Nm^-1.

Key Points

• The spring constant (k) is a measure of the stiffness of a spring and is defined by Hooke's Law.
• Its unit is Newton per meter (Nm^-1) in the SI system, derived from the formula F = kx, where F is force in Newtons, and x is displacement in meters.
• The spring constant indicates the amount of force required to displace the spring by one meter.
• Higher values of the spring constant signify a stiffer spring, while lower values indicate a more flexible spring.
• The spring constant is a fundamental property in mechanical systems and is used in various fields, including engineering and physics.

Additional Information

• Hooke's Law:
  • Hooke's Law states that the force exerted by a spring is directly proportional to its displacement, provided the elastic limit is not exceeded.
  • It is mathematically expressed as F = -kx, where F is the restoring force, k is the spring constant, and x is the displacement.
• SI Unit of Force:
  • The SI unit of force is the Newton (N), where 1 Newton = 1 kg·m/s².
  • Force is a vector quantity, meaning it has both magnitude and direction.
• Elastic Potential Energy:
  • When a spring is stretched or compressed, it stores elastic potential energy.
  • The energy is calculated using the formula E = 0.5kx², where k is the spring constant and x is the displacement.
• Applications of Spring Constant:
  • Used in designing suspension systems in vehicles for optimal performance.
  • Critical in measuring forces in weighing scales and mechanical testing machines.
  • Relevant in oscillatory systems like pendulums and shock absorbers.