Physics MCP Server

Computes the force vector required to produce a given acceleration on a mass.
Fundamental for dynamics, engineering, and understanding motion.

Args:
    mass: Mass in kilograms (must be positive)
    acceleration_x: X component of acceleration in m/s²
    acceleration_y: Y component of acceleration in m/s²
    acceleration_z: Z component of acceleration in m/s²

Returns:
    ForceCalculationResponse containing:
        - force: Force vector [x, y, z] in Newtons
        - magnitude: Force magnitude in Newtons

Tips for LLMs:
    - 1 Newton = force to accelerate 1 kg at 1 m/s²
    - On Earth, weight force = mass × 9.81 N (vertical)
    - Use magnitude to compare total force regardless of direction
    - Common accelerations: car braking ~10 m/s², elevator ~2 m/s²

Example:
    # Force to accelerate a 1500kg car at 3 m/s² forward
    result = await calculate_force(
        mass=1500.0,
        acceleration_x=3.0,
        acceleration_y=0.0,
        acceleration_z=0.0
    )
    print(f"Required force: {result.magnitude:.0f} N")