Source: https://guthlabs.ai/docs/instruments/work-energy-impulse-momentum-calculator/implementation/

instrument implementation / implementation-contract

# Work-Energy & Impulse-Momentum Calculator implementation

A source-bound implementation contract for Work-Energy & Impulse-Momentum Calculator; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t4-214

**Effect**: Computation or source lookup only

## Input and validation requirements

Extreme finite inputs overflow the plain-arithmetic JavaScript Number representation to Infinity. The specification also leaves angle units, height reference direction, and gravitational acceleration convention implicit, producing materially different results for plausible interpretations.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "m": 2,
    "v": 4,
    "v_i": 2,
    "v_f": 4,
    "h": 5,
    "g": 9.81,
    "F": 8,
    "d": 4,
    "theta_deg": 0,
    "delta_t": 0.5
  },
  "expected_outputs": {
    "KE_J": 16,
    "PE_J": 98.1,
    "W_J": 32,
    "J_Ns": 4,
    "delta_p_kg_m_per_s": 4
  },
  "working": "KE = 0.5×2×4² = 1×16 = 16 J. PE = 2×9.81×5 = 98.1 J. W = 8×4×cos(0°) = 32×1 = 32 J. J = 8×0.5 = 4 N·s. Δp = m(v_f−v_i) = 2×(4−2) = 4 kg·m/s; this matches J."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/work-energy-impulse-momentum-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/work-energy-impulse-momentum-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/work-energy-impulse-momentum-calculator/qualification/>)

## Sources and evidence

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

- `VERIFIED_LEDGER.json`

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