Untitled Flashcards Set

Simplified models

Use of simpler representations to understand complex real-world phenomena.

Mathematics in physics

Mathematics is used to analyze, summarize observations, and predict outcomes in new situations.

Graphical representation

Tables, graphs, and equations that help visualize data to make analysis easier.

Galileo's hypothesis

Galileo dropped a table tennis ball and a golf ball in a vacuum to study the distance fallen over time.

Distance and time relationship

More time results in more distance fallen by an object under free fall.

Analyzing data using graphs

Graphs can reveal patterns and help estimate missing data points.

Equation for distance fallen

Delta y = 4.9 x (Delta t)^2, representing the distance in meters as a function of time squared.

Physics equations

Compact statements expressing relationships and models between physical quantities.

Variables in experiments

One or more variables may affect the outcome of an experiment.

Use of letters in physics

Letters (e.g., v for speed, delta for change) represent physical quantities in equations.

Delta y and delta t

Delta y indicates change in position (meters), and delta t indicates elapsed time (seconds).

Abbreviations for variables

Shortened terms representing physical quantities (e.g., Delta x, Delta y, Delta t).

Dimensional analysis

Technique using dimensions as algebraic expressions to verify the validity of equations.

Adding dimensions

Quantities can only be added/subtracted if they share the same dimension.

Order of magnitude

Estimation technique using powers of 10 to approximate numbers in calculations.

Physical quantity example

725 km can be approximated as 10^3, while 88 km/h can be approximated as 10^2.

Estimating with little information

Order of magnitude can be applied even with minimal data to make estimates.

Conversion in speed calculation

To find time, divide distance by speed (e.g., 725 km / 88 km/h).

Change in position (Delta x)

A physical quantity representing how far an object has moved, measured in meters.

Mass (m)

A physical quantity representing the amount of matter in an object, measured in kilograms.

Time interval (Delta t)

A measurement of elapsed time, typically in seconds.

Algebraic expressions in physical equations

Using algebra to structure and relate different physical quantities.

Speed calculation example

For a car going 725 km at 88 km/h, time is calculated by dividing distance by speed.

Multiple quantities in estimation

When estimating, round values for simplification (e.g., 5 million people as 1 million cars).

Travel distance estimation

Estimate annual travel distance by averaging to find a reasonable figure.

Counting decimals and zeros

Include significant figures when counting decimals, but focus on zeros for non-decimals.

Functional relationships in physics

Equations represent the connection between various physical quantities in terms of variables.

Charts and graphs in analysis

Visual tools that facilitate understanding relationships and trends in data.

Experimental variables

Elements in an experiment that can be manipulated to observe effects on outcomes.

Predictive modeling in physics

Mathematical models used to forecast the behavior of physical systems.