{
 "schema": "arxo.science-worked-out.grid/0.1",
 "article": "same-brakes-twice-the-speed",
 "engine": [
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  "std for language 0.2: 0.2.0",
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  "binary hash: sha256:a2c387851b19a63fdf50f52756d414d193bcf0df16178eaedaf36b085c012c69"
 ],
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 },
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 "worldSha256": "sha256:0fb5e235be0107c85a854ecc3fecc43e318bc7549f4f6902fbaddcdecec3cdb9",
 "brakeForceN": -10500,
 "massesKg": [
  1500,
  3000
 ],
 "speedsMPerS": [
  7,
  14,
  21,
  28,
  35
 ],
 "answers": [
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   "id": "a-m1500",
   "relation": "acceleration_from_force",
   "entity": "urn:arxo:science-worked-out:double-the-speed:brake-m1500",
   "mass": 1500,
   "facts": [
    "given_force_and_mass(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:brake-m1500\"), -10500 N, 1500 kg)"
   ],
   "value": "-7",
   "unit": "m_per_s2",
   "status": "COMPUTED",
   "rule": "AccelerationFromForce",
   "ruleLabel": "acceleration is force over mass — zero mass has no acceleration",
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  {
   "id": "p-m1500-v7",
   "relation": "momentum",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v7",
   "mass": 1500,
   "speed": 7,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v7\"), 1500 kg, 7 m_per_s)"
   ],
   "value": "10500",
   "unit": "kg_m_per_s",
   "status": "COMPUTED",
   "rule": "Momentum",
   "ruleLabel": "p = mv",
   "hashes": {
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    "semanticHash": "sha256:8fdc066071ed99c2848900bde49766b226bba10628e619e268be546a0723ddf8"
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  },
  {
   "id": "k-m1500-v7",
   "relation": "kinetic_energy",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v7",
   "mass": 1500,
   "speed": 7,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v7\"), 1500 kg, 7 m_per_s)"
   ],
   "value": "36750",
   "unit": "J",
   "status": "COMPUTED",
   "rule": "KineticEnergy",
   "ruleLabel": "K = ½mv²",
   "hashes": {
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   }
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  {
   "id": "p-m1500-v14",
   "relation": "momentum",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v14",
   "mass": 1500,
   "speed": 14,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v14\"), 1500 kg, 14 m_per_s)"
   ],
   "value": "21000",
   "unit": "kg_m_per_s",
   "status": "COMPUTED",
   "rule": "Momentum",
   "ruleLabel": "p = mv",
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  {
   "id": "k-m1500-v14",
   "relation": "kinetic_energy",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v14",
   "mass": 1500,
   "speed": 14,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v14\"), 1500 kg, 14 m_per_s)"
   ],
   "value": "147000",
   "unit": "J",
   "status": "COMPUTED",
   "rule": "KineticEnergy",
   "ruleLabel": "K = ½mv²",
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   "relation": "momentum",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v21",
   "mass": 1500,
   "speed": 21,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v21\"), 1500 kg, 21 m_per_s)"
   ],
   "value": "31500",
   "unit": "kg_m_per_s",
   "status": "COMPUTED",
   "rule": "Momentum",
   "ruleLabel": "p = mv",
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   "id": "k-m1500-v21",
   "relation": "kinetic_energy",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v21",
   "mass": 1500,
   "speed": 21,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v21\"), 1500 kg, 21 m_per_s)"
   ],
   "value": "330750",
   "unit": "J",
   "status": "COMPUTED",
   "rule": "KineticEnergy",
   "ruleLabel": "K = ½mv²",
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   "id": "p-m1500-v28",
   "relation": "momentum",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v28",
   "mass": 1500,
   "speed": 28,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v28\"), 1500 kg, 28 m_per_s)"
   ],
   "value": "42000",
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   "status": "COMPUTED",
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   "ruleLabel": "p = mv",
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   "id": "k-m1500-v28",
   "relation": "kinetic_energy",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v28",
   "mass": 1500,
   "speed": 28,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v28\"), 1500 kg, 28 m_per_s)"
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   "value": "588000",
   "unit": "J",
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   "id": "p-m1500-v35",
   "relation": "momentum",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v35",
   "mass": 1500,
   "speed": 35,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v35\"), 1500 kg, 35 m_per_s)"
   ],
   "value": "52500",
   "unit": "kg_m_per_s",
   "status": "COMPUTED",
   "rule": "Momentum",
   "ruleLabel": "p = mv",
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   "relation": "kinetic_energy",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m1500-v35",
   "mass": 1500,
   "speed": 35,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m1500-v35\"), 1500 kg, 35 m_per_s)"
   ],
   "value": "918750",
   "unit": "J",
   "status": "COMPUTED",
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   "relation": "acceleration_from_force",
   "entity": "urn:arxo:science-worked-out:double-the-speed:brake-m3000",
   "mass": 3000,
   "facts": [
    "given_force_and_mass(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:brake-m3000\"), -10500 N, 3000 kg)"
   ],
   "value": "-3.5",
   "unit": "m_per_s2",
   "status": "COMPUTED",
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   "value": "21000",
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   "status": "COMPUTED",
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   "mass": 3000,
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   "value": "73500",
   "unit": "J",
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   "id": "p-m3000-v14",
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   "mass": 3000,
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   "value": "42000",
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   "mass": 3000,
   "speed": 14,
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   ],
   "value": "294000",
   "unit": "J",
   "status": "COMPUTED",
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   "id": "p-m3000-v21",
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   "mass": 3000,
   "speed": 21,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m3000-v21\"), 3000 kg, 21 m_per_s)"
   ],
   "value": "63000",
   "unit": "kg_m_per_s",
   "status": "COMPUTED",
   "rule": "Momentum",
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   "relation": "kinetic_energy",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m3000-v21",
   "mass": 3000,
   "speed": 21,
   "facts": [
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   ],
   "value": "661500",
   "unit": "J",
   "status": "COMPUTED",
   "rule": "KineticEnergy",
   "ruleLabel": "K = ½mv²",
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   "id": "p-m3000-v28",
   "relation": "momentum",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m3000-v28",
   "mass": 3000,
   "speed": 28,
   "facts": [
    "given_mass_and_speed(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:motion-m3000-v28\"), 3000 kg, 28 m_per_s)"
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   "value": "84000",
   "unit": "kg_m_per_s",
   "status": "COMPUTED",
   "rule": "Momentum",
   "ruleLabel": "p = mv",
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   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m3000-v28",
   "mass": 3000,
   "speed": 28,
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   "unit": "J",
   "status": "COMPUTED",
   "rule": "KineticEnergy",
   "ruleLabel": "K = ½mv²",
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   "id": "p-m3000-v35",
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   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m3000-v35",
   "mass": 3000,
   "speed": 35,
   "facts": [
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   "id": "k-m3000-v35",
   "relation": "kinetic_energy",
   "entity": "urn:arxo:science-worked-out:double-the-speed:motion-m3000-v35",
   "mass": 3000,
   "speed": 35,
   "facts": [
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   "unit": "J",
   "status": "COMPUTED",
   "rule": "KineticEnergy",
   "ruleLabel": "K = ½mv²",
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   "mass": 1500,
   "speed": 7,
   "time": "1",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
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   "mass": 1500,
   "speed": 7,
   "time": "1",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
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    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v7\"), -7 m_per_s2)",
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   "mass": 1500,
   "speed": 14,
   "time": "2",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
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   "mass": 1500,
   "speed": 14,
   "time": "2",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
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   "mass": 1500,
   "speed": 21,
   "time": "3",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
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   "mass": 1500,
   "speed": 21,
   "time": "3",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
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    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v21\"), -7 m_per_s2)",
    "given_elapsed_time(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v21\"), 3 s)"
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   "mass": 1500,
   "speed": 28,
   "time": "4",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
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    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v28\"), -7 m_per_s2)",
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   "value": "0",
   "unit": "m_per_s",
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   "mass": 1500,
   "speed": 28,
   "time": "4",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
    "given_initial_velocity(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v28\"), 28 m_per_s)",
    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v28\"), -7 m_per_s2)",
    "given_elapsed_time(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v28\"), 4 s)"
   ],
   "value": "56",
   "unit": "m",
   "status": "COMPUTED",
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   "mass": 1500,
   "speed": 35,
   "time": "5",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
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    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v35\"), -7 m_per_s2)",
    "given_elapsed_time(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v35\"), 5 s)"
   ],
   "value": "0",
   "unit": "m_per_s",
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   "mass": 1500,
   "speed": 35,
   "time": "5",
   "acceleration": "-7",
   "accelerationFrom": "a-m1500",
   "facts": [
    "given_initial_velocity(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v35\"), 35 m_per_s)",
    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v35\"), -7 m_per_s2)",
    "given_elapsed_time(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m1500-v35\"), 5 s)"
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   "relation": "final_velocity",
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   "mass": 3000,
   "speed": 7,
   "time": "2",
   "acceleration": "-3.5",
   "accelerationFrom": "a-m3000",
   "facts": [
    "given_initial_velocity(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m3000-v7\"), 7 m_per_s)",
    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m3000-v7\"), -3.5 m_per_s2)",
    "given_elapsed_time(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m3000-v7\"), 2 s)"
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   "mass": 3000,
   "speed": 7,
   "time": "2",
   "acceleration": "-3.5",
   "accelerationFrom": "a-m3000",
   "facts": [
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    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m3000-v7\"), -3.5 m_per_s2)",
    "given_elapsed_time(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m3000-v7\"), 2 s)"
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   "mass": 3000,
   "speed": 14,
   "time": "4",
   "acceleration": "-3.5",
   "accelerationFrom": "a-m3000",
   "facts": [
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    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m3000-v14\"), -3.5 m_per_s2)",
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   "mass": 3000,
   "speed": 14,
   "time": "4",
   "acceleration": "-3.5",
   "accelerationFrom": "a-m3000",
   "facts": [
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    "given_acceleration(entity_ref(\"urn:arxo:science-worked-out:double-the-speed:stop-m3000-v14\"), -3.5 m_per_s2)",
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   "mass": 3000,
   "speed": 21,
   "time": "6",
   "acceleration": "-3.5",
   "accelerationFrom": "a-m3000",
   "facts": [
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   "mass": 3000,
   "speed": 21,
   "time": "6",
   "acceleration": "-3.5",
   "accelerationFrom": "a-m3000",
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   "speed": 28,
   "time": "8",
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   "accelerationFrom": "a-m3000",
   "facts": [
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   "speed": 28,
   "time": "8",
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   "accelerationFrom": "a-m3000",
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   "accelerationFrom": "a-m3000",
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   "speed": 35,
   "time": "10",
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   "accelerationFrom": "a-m3000",
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   "unit": "m",
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   "distanceFrom": "d-m1500-v14",
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   "speed": 21,
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   "distanceFrom": "d-m1500-v21",
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   "distanceFrom": "d-m1500-v28",
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