Simulation · Physics · Class 11

A spring stores ½kx², the area under its F–x line

From the lesson Potential energy of a spring in Work, Energy and Power. Change the values and watch what happens.

The idea behind it

NCERT § "The Potential Energy of a Spring"

An ideal spring obeys Hooke's law, F_s = −kx, where x is the extension or compression from the natural length and k is the spring constant (N m⁻¹).
The potential energy stored in a spring deformed by x is V(x) = ½kx², the same for extension and compression by the same amount.
A stiffer spring (larger k) stores more energy for the same deformation.
On a smooth surface, a block of speed v pushing a spring comes to rest at maximum compression x_m where ½mv² = ½kx_m², so x_m = v√(m/k).
Energy in a mass-spring system shifts between kinetic and potential forms; the kinetic energy is greatest at the natural length and zero at maximum deformation.
The work done by the spring force over a complete cycle (returning to the starting deformation) is zero, as expected for a conservative force.

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