The video resource "Torque: Crash Course Physics #12" is included in the "Sociology" course from the resources series of "Crash Course". Crash Course is a educational video series from John and Hank Green.
Reconstructing the total displacement vector for a projectile
Paul Andersen explains how the total energy of a system is the combination of kinetic, potential and internal energy of the objects. He then shows you how to calculate the kinetic energy, gravitational potential energy, and elastic potential energy of objects within a system. Over time the total energy of the system will change due to changes in position and frictional effects.
Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal
Critical incident angle and total internal reflection
Paul Andersen compares and contrasts transverse and longitudinal waves. Waves carry energy through oscillations. In transverse waves the oscillations are perpendicular to the direction of the wave and in longitudinal they are parallel. Several examples and a simulation are included.
Paul Andersen explains how traveling waves move through space and time. The reflection and interference of traveling waves can create standing waves which appear motionless. Examples of traveling waves in one and two dimensions are included.
The video resource "Traveling Waves: Crash Course Physics #17" is included in the "Sociology" course from the resources series of "Crash Course". Crash Course is a educational video series from John and Hank Green.
UV radiation at different wavelengths differs in its effects, and we have to live with the harmful effects as well as the helpful ones.
Thinking about what is true about how unbalanced forces relate to motion and acceleration
Students will learn a sample-variance curve fitting method that can be used to determine whether a set of experimental data appears to have been generated by a model. This method is based on minimizing the reduced chi-squared value. This video includes a reminder to inspect normalized residuals before reporting fitted parameters.
The quadrature formula relates the fluctuations of a function to fluctuations in the variables on which the function depends. In this derivation, we approximate a multivariable function using a Taylor expansion, and we assume that fluctuations in the underlying variables are statistically independent, which allows us to apply an identity previously derived in the unit on statistics. Namely, "variances of sums are sums of variances" for variables that fluctuate independently.
In the first video segment, we estimate properties of a parent distribution (i.e. mean and standard deviation) from a sample of a finite collection of data measurements, and we describe the standard error (SE). In the second segment, we derive the famous square-root of n factor that appears in the SE formula. The third video segment describes the visual comparison of error bars, and the fourth segment warns against a mistake that can generate inappropriate claims of statistical significance during this kind of analysis.
The video resource "Uniform Circular Motion: Crash Course Physics #7" is included in the "Sociology" course from the resources series of "Crash Course". Crash Course is a educational video series from John and Hank Green.
Expressing a vector as the scaled sum of unit vectors
Using unit vectors to represent the components of a vector
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.
University Physics Volume 2 is the second of a three book series that (together) covers a two- or three-semester calculus-based physics course. This text has been developed to meet the scope and sequence of most university physics courses (in terms of what Volume 2 is designed to deliver) and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them.
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.