calculate_force
Calculate force vectors from mass and acceleration using Newton's Second Law (F=ma) for dynamics and engineering applications.
Instructions
Calculate force from mass and acceleration using Newton's Second Law (F = ma).
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")Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| mass | Yes | ||
| acceleration_x | Yes | ||
| acceleration_y | Yes | ||
| acceleration_z | Yes |