Work by ideal spring force (W_spring = ½k(x₁² − x₂²))
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W_spring = ½k(x₁² − x₂²)
What each symbol means
| Symbol | What it stands for |
|---|---|
| k | Spring constant (N/m) |
| W_spring | Work done BY the spring on the block (J) |
| x_1, x_2 | Initial and final extensions/compressions from natural length (m) |
When to use this
Hooke's law F = −kx from equilibrium; ideal massless spring. x is displacement from natural length (sign matters).