1. What is Work Done By Spring Force?

Definition: This calculator computes the work done by a spring force using Hooke's Law, which describes the force exerted by a spring when it's compressed or stretched.

Purpose: It helps physics students and engineers understand and calculate the energy stored or released by springs in mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( W_s \) — Work done by spring (Joules, J)
• \( k \) — Spring constant (Newtons per meter, N/m)
• \( x \) — Displacement from equilibrium position (meters, m)

Explanation: The negative sign indicates that the spring force always acts to restore the spring to its equilibrium position (opposite to displacement).

3. Importance of Spring Work Calculation

Details: Calculating spring work is essential for designing mechanical systems, understanding potential energy storage, and analyzing oscillatory motion.

4. Using the Calculator

Tips: Enter the spring constant (stiffness) in N/m and the displacement from equilibrium in meters. Both values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is the work negative?
A: The negative sign indicates that the spring force is a restoring force, always acting opposite to the displacement direction.

Q2: What are typical spring constant values?
A: Soft springs might have k = 10 N/m, while stiff springs can be 1000 N/m or more.

Q3: Does this work for both compression and extension?
A: Yes, the formula works for both cases as long as you use the absolute value of displacement.

Q4: How does this relate to potential energy?
A: The work done equals the change in spring potential energy: \( \Delta PE = -W_s \).

Q5: What if the spring is stretched beyond its elastic limit?
A: This formula only applies within the elastic (Hookean) region where the spring returns to its original shape.