{"success":true,"version":"v1","request":{"tool":"get_calculator_schema","calculator_id":"kinetic-energy"},"result":{"entity_type":"calculator","id":"kinetic-energy","calculator_id":"kinetic-energy","canonical_url":"https://tttkmbb.com/physics/kinetic-energy","name":"Kinetic Energy Calculator","title":"Kinetic Energy Calculator – KE = ½·m·v² in Joules, kJ, kWh and kcal","category":"physics","category_name":"Physics","tool_name":"calculate_kinetic_energy","featured_mcp_tool":true,"description":"Computes the translational kinetic energy of a moving mass from KE = ½·m·v², reported in joules, kilojoules, kilowatt-hours and kilocalories.","use_when":"You need the energy of motion of an object of known mass and speed (vehicle, projectile, ball), for example to compare impact or braking energies.","do_not_use_when":"Rotation contributes significantly (rotational energy ½·I·ω² is not included), speeds approach the speed of light (relativistic formula needed), or you need energy from height (use potential-energy).","inputs":[{"name":"mass_kg","label":"Mass","type":"number","unit":"kg","required":true,"exclusive_min":0,"description":"Mass of the moving object in kilograms.","example":1200},{"name":"velocity_m_s","label":"Velocity","type":"number","unit":"m/s","required":true,"min":0,"max":30000000,"description":"Speed in metres per second (km/h ÷ 3.6, mph × 0.44704). Limited to 10 % of the speed of light, below which the classical formula is accurate to within 1 %.","example":25}],"outputs":[{"name":"kinetic_energy_j","label":"Kinetic energy","type":"number","unit":"J","decimals":4,"description":"KE = ½ × m × v²."},{"name":"kinetic_energy_kj","label":"Kinetic energy","type":"number","unit":"kJ","decimals":6,"description":"Kinetic energy in kilojoules."},{"name":"kinetic_energy_kwh","label":"Kinetic energy","type":"number","unit":"kWh","decimals":6,"description":"Kinetic energy in kilowatt-hours (J ÷ 3,600,000)."},{"name":"kinetic_energy_kcal","label":"Kinetic energy","type":"number","unit":"kcal","decimals":4,"description":"Kinetic energy in kilocalories (thermochemical, J ÷ 4184)."},{"name":"velocity_km_h","label":"Velocity","type":"number","unit":"km/h","decimals":4,"description":"The input speed in km/h."}],"input_schema":{"type":"object","properties":{"mass_kg":{"description":"Mass of the moving object in kilograms. Unit: kg.","type":"number","exclusiveMinimum":0,"examples":[1200],"x-unit":"kg"},"velocity_m_s":{"description":"Speed in metres per second (km/h ÷ 3.6, mph × 0.44704). Limited to 10 % of the speed of light, below which the classical formula is accurate to within 1 %. Unit: m/s.","type":"number","minimum":0,"maximum":30000000,"examples":[25],"x-unit":"m/s"}},"additionalProperties":false,"required":["mass_kg","velocity_m_s"]},"output_schema":{"type":"object","properties":{"kinetic_energy_j":{"description":"KE = ½ × m × v². Unit: J.","type":"number","x-unit":"J"},"kinetic_energy_kj":{"description":"Kinetic energy in kilojoules. Unit: kJ.","type":"number","x-unit":"kJ"},"kinetic_energy_kwh":{"description":"Kinetic energy in kilowatt-hours (J ÷ 3,600,000). Unit: kWh.","type":"number","x-unit":"kWh"},"kinetic_energy_kcal":{"description":"Kinetic energy in kilocalories (thermochemical, J ÷ 4184). Unit: kcal.","type":"number","x-unit":"kcal"},"velocity_km_h":{"description":"The input speed in km/h. Unit: km/h.","type":"number","x-unit":"km/h"}}},"formula":"KE = ½ × mass_kg × velocity_m_s²; kJ = J / 1000; kWh = J / 3,600,000; kcal = J / 4184","sources":[{"name":"HyperPhysics – Kinetic energy","url":"http://hyperphysics.phy-astr.gsu.edu/hbase/ke.html","type":"reference","retrieved_at":"2026-09-23"},{"name":"Wikipedia – Kinetic energy","url":"https://en.wikipedia.org/wiki/Kinetic_energy","type":"reference","retrieved_at":"2026-09-23"},{"name":"NIST Special Publication 811 – Guide for the Use of the SI, Appendix B (conversion factors)","url":"https://www.nist.gov/pml/special-publication-811","type":"standard","retrieved_at":"2026-09-23"}],"freshness":{"type":"static","max_age_seconds":null,"note":"Deterministic formula with fixed constants; results never go stale. Inputs supplied by the caller determine the output."},"examples":[{"name":"1200 kg car at 25 m/s (90 km/h)","inputs":{"mass_kg":1200,"velocity_m_s":25},"expected":{"kinetic_energy_j":375000,"kinetic_energy_kj":375,"kinetic_energy_kwh":0.104167,"kinetic_energy_kcal":89.6272,"velocity_km_h":90},"url":"https://tttkmbb.com/api/v1/calculate/kinetic-energy?mass_kg=1200&velocity_m_s=25"},{"name":"0.145 kg baseball at 40 m/s","inputs":{"mass_kg":0.145,"velocity_m_s":40},"expected":{"kinetic_energy_j":116,"kinetic_energy_kj":0.116,"velocity_km_h":144},"url":"https://tttkmbb.com/api/v1/calculate/kinetic-energy?mass_kg=0.145&velocity_m_s=40"}],"faq":[{"q":"Why does doubling the speed quadruple the energy?","a":"Kinetic energy scales with the square of speed (v²), which is why braking distance and crash severity rise much faster than speed."},{"q":"Does direction matter?","a":"No. Kinetic energy is a scalar; only the magnitude of the velocity (speed) enters the formula."}],"tags":["kinetic energy","energy of motion","1/2 mv^2","joules","impact energy"],"related":[{"calculator_id":"momentum","reason":"Momentum p = m·v of the same object."},{"calculator_id":"potential-energy","reason":"Energy stored by height, exchanged with kinetic energy in free fall."},{"calculator_id":"work-power","reason":"Work needed to produce this energy change."}],"links":{"html":"https://tttkmbb.com/physics/kinetic-energy","markdown":"https://tttkmbb.com/physics/kinetic-energy.md","json":"https://tttkmbb.com/physics/kinetic-energy.json","api":"https://tttkmbb.com/api/v1/calculate/kinetic-energy","schema":"https://tttkmbb.com/api/v1/calculators/kinetic-energy","openapi":"https://tttkmbb.com/openapi.json","mcp":"https://tttkmbb.com/mcp"},"version":"v1","updated_at":"2026-09-23"},"timestamp":"2026-09-23T23:31:10Z"}