{"uid":"cap_-P0RtBEPWagQyezF8tQSG","slug":"physics-calculators-block-on-incline-13baaf47","name":"Physics Calculators – Block on Incline","description":"Block on an incline: weight components, normal force, static friction limit, whether it slips, acceleration and slide time.","url":"https://physics-calc.x402tookit.com/incline?utm_source=zero.xyz","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET"],"type":"string"},"queryParams":{"type":"object","required":["massKg","angleDeg"],"properties":{"massKg":{"type":"number","description":"Mass in kg, above 0"},"gravity":{"type":"number","description":"Gravity in m/s2 (default 9.80665)"},"lengthM":{"type":"number","description":"Slope length in metres to get slide time and end speed"},"angleDeg":{"type":"number","description":"Slope angle in degrees, 0 to 89.9"},"muStatic":{"type":"number","description":"Static friction coefficient 0 to 5 (default 0.5)"},"muKinetic":{"type":"number","description":"Kinetic friction coefficient 0 to 5 (default: the static value, capped at it)"}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object","properties":{"asOf":{"type":["null","string"]},"massKg":{"type":["null","number"]},"slides":{"type":["boolean","null"]},"source":{"type":["null","string"]},"reasons":{"type":["array","null"],"items":{"type":"string"}},"summary":{"type":["null","string"]},"verdict":{"type":["null","string"]},"weightN":{"type":["null","number"]},"angleDeg":{"type":["null","number"]},"degraded":{"type":["boolean","null"]},"disclaimer":{"type":["null","string"]},"endSpeedMS":{"type":["null","number"]},"notChecked":{"type":["array","null"],"items":{"type":"string"}},"slideTimeS":{"type":["null","number"]},"normalForceN":{"type":["null","number"]},"accelerationMS2":{"type":["null","number"]},"forceDownSlopeN":{"type":["null","number"]},"criticalAngleDeg":{"type":["null","number"]},"kineticFrictionN":{"type":["null","number"]},"maxStaticFrictionN":{"type":["null","number"]}}}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.02","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.02/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_7a2iUpJ5qXh_QNEgms4wW","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates weight components, normal force, static friction limit, slip/no-slip verdict, acceleration, and slide time for a block on an inclined plane.","exampleAgentPrompt":"A 10 kg block sits on a 35-degree incline with a static friction coefficient of 0.4 and kinetic friction of 0.3 — will it slide, and if so what's its acceleration and how long to reach the bottom of a 5-metre slope?","exampleUseCases":[{"title":"Homework inclined plane problem","prompt":"I have a 2 kg block on a 45-degree ramp with static friction 0.5 and kinetic friction 0.35 — does it slide, and if it does, what's the acceleration?"},{"title":"Engineering safety check for sloped surface","prompt":"A 50 kg crate sits on a loading ramp angled at 20 degrees. With a static friction coefficient of 0.6, will it stay put or slide off?"},{"title":"Slide time for known ramp length","prompt":"How long would a 8 kg box take to slide down a 10-metre ramp inclined at 30 degrees, assuming kinetic friction of 0.25?"}],"resultDescription":"Returns a JSON object with the full force breakdown: weight in Newtons, normal force, force component down the slope, maximum static friction force, kinetic friction force, a boolean indicating whether the block slides, the critical angle at which sliding begins, acceleration in m/s², slide time in seconds, end speed in m/s (when slope length is provided), and a human-readable summary and verdict string.","failureModes":["Missing required parameters massKg or angleDeg returns an error","angleDeg outside 0–89.9 range is rejected","massKg ≤ 0 is rejected","muKinetic greater than muStatic may be capped or flagged","No slide time or end speed returned if lengthM is not provided","Network or payment failure returns HTTP 402 or 5xx"],"whenToPreferThis":"Choose this endpoint when you need a complete inclined-plane force analysis — including slip determination, friction forces, acceleration, and slide time — in a single call. It is purpose-built for classical Newtonian mechanics on ramps and handles both static and kinetic friction regimes automatically, saving you from chaining multiple generic calculators.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-30T00:30:15.664Z","isFirstParty":false,"canonicalSlug":"physics-calculators-block-on-incline-13baaf47"}