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Physics from Planet Earth - An Introduction to Mechanics provides a one-semester, calculus-based introduction to classical mechanics for first-year undergraduate students studying physics, chemistry, astronomy, or engineering. Developed from classroom-tested materials refined and updated for over ten years at Colgate University, the book guides students on a journey beyond standard approaches that use blocks, projectiles, and inclined planes to grander themes involving interplanetary travel, exoplanets, asteroid collisions, and dark matter. After reviewing the basic mathematical tools needed to study mechanics, the text addresses the conservation of momentum and applications, such as gravity-assisted space travel and rocket propulsion. It next discusses Newton’s Laws and numerous space- and astronomy-based applications. The text then presents evidence for a second conservation principle, energy, which allows us to describe motion as a function of position rather than time. The book also explores the conservation of angular momentum and a variety of applications, including pulsars, orbital eccentricity, and gyroscopes. The text concludes with a discussion of dark matter, dark energy, and the ultimate fate of the universe.
Mathematical Toolbox
Surveying the Skies
Vectors
Using Vectors to Describe Motion
Conservation of Momentum
The First Conservation Law: Mass, Momentum, and Rocketry
Collisions and the Center of Mass
Acceleration, Force, and Newton’s Laws
Circular Motion, Simple Harmonic Motion, and Time
Kepler’s Laws and Newton’s Discovery of Universal Gravitation
Conservation of Energy
The Second Conservation Law: Energy
Gravitational Potential Energy and Orbital Motion
Conservation of Angular Momentum
Rotations and the Third Conservation Law: Angular Momentum
Angular Momentum and Its Conservation
Torque, Angular Momentum, and the Earth–Moon System
Going Beyond
Dark Matter, Dark Energy, and the Fate of the Universe