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Foundations of Physics

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Foundations of Physics

Absolute Uncertainty

The margin of measurement error expressed in the same physical units as the quantity being measured.

x = x_mean ± Δx Various
Foundations of Physics

Absolute Zero

The theoretical lower limit of thermodynamic temperature, defined as 0 Kelvin (-273.15°C or -459.67°F).

0 K = -273.15°C K
Foundations of Physics

Accuracy

The degree of closeness of a measured value or experimental result to the true or accepted reference value.

Error = |Measured - True| / True × 100% %
Foundations of Physics

Ampere

The SI base unit of electric current, defined by fixing the elementary charge to e = 1.602176634 × 10⁻¹⁹ C.

1 A = 1 C / s A
Foundations of Physics

Avogadro's Number

The exact number of elementary entities (atoms, molecules, ions) contained in one mole of a substance.

Na = 6.02214076 × 10²³ mol⁻¹ mol⁻¹
Foundations of Physics

Base Units

The set of seven mutually independent fundamental units of measurement defined by the International System of Units.

The 7 SI Base Units
Foundations of Physics

Boltzmann Constant

The fundamental constant that converts thermodynamic temperature into microstate kinetic energy per particle.

k = R / Na = 1.380649 × 10⁻²³ J/K J/K
Foundations of Physics

Candela

The SI base unit of luminous intensity in a given direction, defined by fixing the luminous efficacy of 540 THz monochromatic radiation to…

Iv = dΦv / dΩ cd
Foundations of Physics

Cartesian Coordinates

An orthogonal coordinate system that specifies point locations in space using signed distance projections along mutually perpendicular axes…

d = √((x2-x1)² + (y2-y1)² + (z2-z1)²) m
Foundations of Physics

Centre of Mass

The unique spatial point representing the mean mass-weighted position of a physical system or extended rigid body.

R_cm = ∑ m_i r_i / ∑ m_i m
Foundations of Physics

Combining Uncertainties

The mathematical rules used to propagate individual measurement uncertainties into calculated final results.

Addition: ΔZ = √(ΔX² + ΔY²); Product: ΔZ/Z = √((ΔX/X)² + (ΔY/Y)²) Various
Foundations of Physics

Control Variable

Any experimental parameter held strictly constant throughout an investigation to isolate the relationship between independent and dependent…

Various
Foundations of Physics

Cylindrical Coordinates

A 3D coordinate system combining 2D polar coordinates (r, θ) in the transverse plane with a linear vertical height axis z.

x = r cos θ, y = r sin θ, z = z m, rad, m
Foundations of Physics

Density

The mass per unit volume of a substance under specified temperature and pressure conditions.

ρ = m / V kg/m³
Foundations of Physics

Dependent Variable

The factor measured or observed in an experiment that changes in response to manipulations of the independent variable.

Various
Foundations of Physics

Derived Units

Units of measurement formed as algebraic combinations of the seven fundamental SI base units.

Various
Foundations of Physics

Dimensional Analysis

An analytical method used to verify equation consistency and establish mathematical relationships between physical quantities by examining…

[M]^a [L]^b [T]^c Dimensionless
Foundations of Physics

Elementary Charge

The fundamental electric charge carried by a single proton, or the absolute value of charge carried by a single electron.

e = 1.602176634 × 10⁻¹⁹ C C
Foundations of Physics

Energy

The quantitative property that must be transferred to a physical system to perform work on it, or to heat it.

E = mc² J
Foundations of Physics

Frame of Reference

A coordinate system along with a clock used to record positions, velocities, and times of physical events.

N/A
Foundations of Physics

Fundamental Constants

Universal physical quantities whose numerical values are constant in space and time throughout the cosmos.

Various
Foundations of Physics

Gravitational Constant

The empirical physical constant relating the gravitational force between two masses to their product and inverse-square separation.

G = 6.67430 × 10⁻¹¹ N·m²/kg² N·m²/kg²
Foundations of Physics

Gravitational Mass

A measure of the strength of the gravitational force exerted or experienced by an object in a gravitational field.

m = F_g / g kg
Foundations of Physics

Hypothesis

A proposed, testable explanation for an observed physical phenomenon, serving as the starting point for experimental investigation.

N/A