Physics I - Introduction

A method for analyzing the relationships between different physical quantities by considering their dimensions (units).

A physical constant that relates the force of attraction between two masses.

The formula that expresses the dimensions of G in terms of mass (M), length (L), and time (T).

Converting measurements from one unit system to another (e.g., from miles to meters).

The International System of Units, a standardized system of measurement.

A system of measurement used in the United States (e.g., miles, feet, inches).

Relationships between units of different measurement systems used for converting between them.

Units can be treated as algebraic quantities, meaning they can be canceled in calculations to convert between units.

Basic rules that govern natural phenomena.

Basic quantities in mechanics (length, mass, time) used to define other quantities.

Characteristic of a substance observed or measured without changing its identity.

The meter (m), a standard unit of length defined from the speed of light in a vacuum.

The kilogram (kg), a standard unit of mass, defined by a specific cylinder at the International Bureau of Standards.

Physical property that depends on the amount of matter.

The second (s), a unit of time defined by the oscillation of radiation from a cesium atom.

Physical property that depends on the type of matter (not amount).

Branch of physics dealing with motion and forces.

The International System of Units (a standard system of measurement).

Branch of physics dealing with space, time, and gravity.

The distance between two points in space, measured in meters.

The duration of an event, measured in seconds.

Physics is categorized into branches like Mechanics, Relativity etc.

Physics seeks to find fundamental laws and use those to forecast.

A measure of the amount of matter in an object, measured in kilograms.

A method to analyze relationships between physical quantities by considering their units/dimensions.

Force in a spring (F) is proportional to the extension (x) and negative.

Constant of proportionality in Hooke's Law, relating force and extension.

Both sides of an equation must have the same dimensions.

In dimensional analysis, the exponent for length (usually L) in the equation.

In dimensional analysis, the exponent for time (usually T) in the equation.

Units can be treated mathematically like variables in equations, canceled or manipulated.

Acceleration (L/T^2) has dimensions of length divided by time squared.

A method to find the resultant vector by drawing vectors tip-to-tail.

The vector that results from adding two or more vectors.

A numerical value used to represent the actual magnitude of a vector.

Adding multiple vectors by repeating the tip-to-tail method until all vectors are included.

The order in which vectors are added does not affect the resultant vector.

The rule stating that the order of adding vectors does not change the resultant.

A reference frame for describing the position and direction of vectors.

Starting point of a vector in a coordinate system (from which vectors are drawn from).

A vector in a 2D plane is represented as A = Axî + Ayĵ, where Ax and Ay are the vector's x and y components, and î and ĵ are the unit vectors along the x and y axes, respectively.

A vector that specifies the position of a point in space relative to a reference point.

To add two 2D vectors (A and B), add their corresponding components: R = (Ax + Bx)î + (Ay + By)ĵ, where R is the resultant vector.

The vector obtained by adding two or more vectors.

The projections of a vector onto the x and y axes.

A vector with a magnitude of 1, representing the direction along an axis.

Adding 3D vectors involves adding their respective components along the x, y, and z axes. R = (Ax + Bx)î + (Ay + By)ĵ + (Az + Bz)kˆ

The magnitude of a 3D vector R is given by R = √(Rx² + Ry² + Rz²)