Source: https://guthlabs.ai/docs/instruments/hooke-s-law-spring-force-calculator/

instrument / verified-clean

# Hooke's Law Spring Force Calculator

The current ledger marks this instrument verified clean within the source-bound verification corpus.

Status: **VERIFIED_CLEAN**Lifecycle: **verified-clean**

## Inspectable records

[01**Overview**Purpose and lifecycle](<https://guthlabs.ai/docs/instruments/hooke-s-law-spring-force-calculator/>)[02**Mechanism**Method and assumptions](<https://guthlabs.ai/docs/instruments/hooke-s-law-spring-force-calculator/mechanism/>)[03**Implementation**Binding and validation](<https://guthlabs.ai/docs/instruments/hooke-s-law-spring-force-calculator/implementation/>)[04**Qualification**Evidence and errata](<https://guthlabs.ai/docs/instruments/hooke-s-law-spring-force-calculator/qualification/>)

## Ledger state

The current ledger marks this instrument verified clean within the source-bound verification corpus.

**Area**: Physics — Kinematics/Projectiles/Orbits, Forces/Energy/Momentum, Rotational Dynamics, Gravitation, Oscillations/Waves, Optics, E&M Fields, Relativity, Quantum, Statistical Thermo

**Tranche**: tranche-4

**Evidence ID**: t4-283

**Ledger rows**: 1

No ledger note is attached.

## Review findings

The formula is the standard one-dimensional Hooke's-law restoring-force relation. Verdict is NEEDS_REVIEW because the input specification does not explicitly define x as displacement from equilibrium or state the required units and unit-conversion behavior.

### Formula and scope findings

No additional record

### Unit assumptions

- F=−kx is valid when x is displacement from the spring's unstretched or equilibrium position, as appropriate to the stated model; the reference position must be defined.

- k must be positive and expressed in force per length, conventionally N/m.

- x must be expressed in a compatible length unit, conventionally meters; the spec does not state whether the calculator performs unit conversion.

- F is returned in the corresponding force unit, conventionally newtons.

- The negative sign indicates that the restoring force opposes the signed displacement.

## Boundary hardening

**BREAK_CLAIMED** · SELF_FLAGGED

A finite extreme input, k = 1e308 and x = 1e308, produces -Infinity in plain JavaScript arithmetic instead of a finite force. The specification also leaves the sign convention for x ambiguous, which can reverse the reported force direction.

## Errata and corrections

No applied erratum is attached to this unique-name record.

## Inspectable example

4 review vectors are recorded. One source-bound sample is shown below.

````
{
  "inputs": {
    "k": 200,
    "k_unit": "N/m",
    "x": 0.015,
    "x_unit": "m"
  },
  "expected_outputs": {
    "F": -3,
    "F_unit": "N"
  },
  "working": "F = −kx\nF = −(200 N/m)(0.015 m)\nF = −3 N"
}
````

## Related workflows

No source-defined multi-instrument workflow membership is recorded.

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json · VERIFIED_CLEAN`

- `evidence-tranche4/tranche4-results.json`

- `BOUNDARY_HAZARD_CATALOG.json`