[
  // Density
  {
    "name": "Density",
    "description": r"""
Mass per unit volume of a substance.

$$\rho = \frac{m}{V}$$

Where:
- $\rho$: Density ($\mathrm{kg/m^3}$)
- $m$: Mass (kilograms)
- $V$: Volume (cubic meters)

Density is an intrinsic property of materials.

![Density illustration (Wikipedia)](https://upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Density_of_solids.svg/800px-Density_of_solids.svg.png)""",
    "input": [
      {"name": "m", "unit": "kilogram"},
      {"name": "V", "unit": "cubic meter"}
    ],
    "output": {"name": "rho", "unit": "kilogram per cubic meter"},
    "d4rtCode": "rho = m / V;",
    "tags": ["physics", "mechanics", "material"]
  },

  // Pressure
  {
    "name": "Pressure",
    "description": r"""
Force applied perpendicular to a surface per unit area.

$$P = \frac{F}{A}$$

Where:
- $P$: Pressure (Pascals)
- $F$: Force (Newtons)
- $A$: Area (square meters)

Pressure is transmitted equally in all directions in fluids.

![Pressure (diagram) (Wikipedia)](https://upload.wikimedia.org/wikipedia/commons/thumb/9/95/Pressure_in_fluid.svg/800px-Pressure_in_fluid.svg.png)""",
    "input": [
      {"name": "F", "unit": "newton"},
      {"name": "A", "unit": "square meter"}
    ],
    "output": {"name": "P", "unit": "pascal"},
    "d4rtCode": "P = F / A;",
    "tags": ["physics", "mechanics", "fluid"]
  },

  // Buoyant Force
  {
    "name": "Buoyant Force",
    "description": r"""
Upward force exerted on an object immersed in a fluid (Archimedes' principle).

$$F_b = \rho g V$$

Where:
- $F_b$: Buoyant force (Newtons)
- $\rho$: Fluid density ($\mathrm{kg/m^3}$)
- $g$: Gravitational acceleration ($\mathrm{m/s^2}$)
- $V$: Displaced volume (cubic meters)

An object floats when buoyant force equals its weight.

![Archimedes principle (Wikipedia)](https://upload.wikimedia.org/wikipedia/commons/thumb/7/72/Archimedes-principle.svg/960px-Archimedes-principle.svg.png)""",
    "input": [
      {"name": "rho", "unit": "kilogram per cubic meter"},
      {"name": "g", "unit": "meters per square second"},
      {"name": "V", "unit": "cubic meter"}
    ],
    "output": {"name": "Fb", "unit": "newton"},
    "d4rtCode": "Fb = rho * g * V;",
    "tags": ["physics", "fluid", "mechanics"]
  }
]