# Physics Calculators – Block on Incline

> Physics Calculators – Block on Incline is a paid API for AI agents from physics-calc.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-30).

Calculates weight components, normal force, static friction limit, slip/no-slip verdict, acceleration, and slide time for a block on an inclined plane.

## Facts

- Endpoint: GET https://physics-calc.x402tookit.com/incline?utm_source=zero.xyz
- Price: $0.02/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-30
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/physics-calculators-block-on-incline-13baaf47
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_-P0RtBEPWagQyezF8tQSG

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability physics-calculators-block-on-incline-13baaf47
```

Example prompt: 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?

## When to prefer this

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.

## Known failure modes

- 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

## How this service works

Block on an incline: weight components, normal force, static friction limit, whether it slips, acceleration and slide time.

## Output

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.

## Request schema (JSON Schema)

```json
{
 "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"
       ]
      },
      "en
… (truncated)
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/physics-calculators-block-on-incline-13baaf47/health.json
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