// multi-utility computation suite · offline · instant · precise
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sci.spring-potential-energy Calculator
Calculates elastic potential energy stored in a spring E = ½kx² and restoring force F = −kx (Hooke's law). A spring with k = 1,000 N/m compressed 10 cm stores 5 J — the same spring compressed 20 cm stores 20 J (4× more, since energy scales with displacement squared).
Inputs
Spring Constant N M
Reference formula or conversion factor shown for context.
Displacement Mm
Net position change from start to end — a vector. Different from distance, which is the total path length.
Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Results
potential energy PE (J)
Energy stored by position in a gravitational field: PE = mgh. Converts to kinetic energy as an object falls. At the top of a drop, energy is all potential; at the bottom, all kinetic (ignoring losses).
maximum KE at equilibrium (J)
The largest value in the dataset or feasible range.
maximum velocity (m/s)
The largest value in the dataset or feasible range.
oscillation frequency (Hz)
The value at the specified point or condition.
PE = ½kx²
Reference formula or conversion factor shown for context.