The Mechanism · Gated-generation receipt

gen-define-newton-s-second-law-and-give-one-short-worked-example-05a9

hold
2026-05-29 06:27:45 UTC · anthropic/claude-sonnet-4-5

Prompt

Define Newton's second law and give one short worked example.
61 chars

Generation

# Newton's Second Law **Definition:** The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. **Formula:** $$F_{net} = ma$$ where: - F_net = net force (N) - m = mass (kg) - a = acceleration (m/s²) ## Worked Example **Problem:** A 1500 kg car accelerates from rest at 2.5 m/s². What net force is required? **Solution:** - Given: m = 1500 kg, a = 2.5 m/s² - Using F = ma: $$F_{net} = (1500\text{ kg})(2.5\text{ m/s}^2) = 3750\text{ N}$$ **Answer:** The net force required is **3750 N** (or 3.75 kN).
19 tokens in · 218 tokens out · 4556 ms · $0.0033

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['force']
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4563.3 ms
Base LLM
4556.4 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0033

Trail

06:27:45 received prompt_chars=61 verifiers=['scripture_anchors', 'theology_doctrine']
06:27:45 red_gate decision=pass reason=no disqualifying input patterns detected
06:27:49 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=19 tokens_out=218 latency_ms=4556.4 cost_usd=0.0033
06:27:49 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:27:49 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:27:49 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:27:49 way_gate decision=wait reason=output contains coercion language: ['force']
06:27:49 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:27:49 signed hash_algo=sha256 hash=sha256:fa3eaa71a2d80c1adb234840b097d288eaabe61c32f7fc6362acd1c157efb24e

Content hash

sha256:fa3eaa71a2d80c1adb234840b097d288eaabe61c32f7fc6362acd1c157efb24e

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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