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Chapter 6
Chapter 6

Color
Color

... the more they dent, the harder they push apart cart accelerates up or down in response to net force  cart bounces up and down during this negotiation ...
19. Centripetal Force
19. Centripetal Force

... with a string, the tension in the string equals the ____________ force experienced by the object. An object's ____________, mass, and ____________ of rotation all contribute to the magnitude of the centripetal force. Newton’s ____________ law holds true for rotational motion in that the centripetal ...
Energy - Urbana School District #116
Energy - Urbana School District #116

Work Forms of Energy Conservation of Energy Gravitational
Work Forms of Energy Conservation of Energy Gravitational

... Work and Potential Energy If a force does work on an object but does not increase its kinetic energy, then that work is FA = 10 N converted into some other form of energy, such as potential energy or heat. Suppose a 10 N upward force is applied to our mini-watermelon over a distance of 5 m. Since i ...
Physics 211 - University of Utah
Physics 211 - University of Utah

... Work-Kinetic Energy Theorem ...
Rotational Motion
Rotational Motion

... could write the units for angular velocity as 1/s, it is useful to retain the term “rad” in the numerator. (Note: Most pocket calculators can do calculations using either radians or degrees and because rad must be used here, some care must be taken when first using a new calculator.) If our particle ...
Notes in pdf format
Notes in pdf format

Lagrange`s equations of motion in generalized coordinates
Lagrange`s equations of motion in generalized coordinates

... mechanics and, indeed, most of classical physics. Hamilton's Principle may be stated as follows: Of all the possible paths along which a dynamical system may move from one point to another within a specified time interval (consistent with any constraints), the actual path followed is that which mini ...
Chapter 4: Forces and Motion I: Newton`s Laws
Chapter 4: Forces and Motion I: Newton`s Laws

Conservation of energy∗
Conservation of energy∗

... A system comprises of many particles, which are interacted by dierent kinds of force. It is characterized by a boundary. We are at liberty to dene our system to suit analysis of a motion or process. Everything else other than system is surrounding. The boundary of the system, in turn, is charact ...
9 Central Forces and Kepler`s Problem
9 Central Forces and Kepler`s Problem

Conservation of energy
Conservation of energy

Motion and Forces
Motion and Forces

... force: cause of acceleration, or change in an object’s velocity -push or pull that gives energy to an object. -a force can cause an object to stop moving, start moving, or change its direction -net force: combination of all forces acting on an object ♦forces in the same direction add together, while ...
10 - Solon City Schools
10 - Solon City Schools

... Power is the rate at which work is done or the amount of work done in a unit of time. Power is calculated by dividing the amount of work done by the amount of time taken to do work. ...
Lab 7 Ballistic Pendulum! !
Lab 7 Ballistic Pendulum! !

... Notice that we don’t know the expected value for this experiment. We will try to verify the above results by doing a completely different experiment. We will do a zero launch angle experiments. Park the pendulum out of the way. Place the apparatus at a designated location pointing at an empty area o ...
Chapter 2 - unefa virtual
Chapter 2 - unefa virtual

accelerate - Beck-Shop
accelerate - Beck-Shop

Applying Models to Mechanical Phenomena
Applying Models to Mechanical Phenomena

Newton`s Second Law: Acceleration
Newton`s Second Law: Acceleration

printer-friendly version of benchmark
printer-friendly version of benchmark

... Students know every object exerts gravitational force on every other object, and the magnitude of this force depends on the mass of the objects and their distance from one another. I/S In order to understand the subject of gravity and how it behaves, it is important to understand the difference betw ...
Physics Honors v. 2016
Physics Honors v. 2016

Dimension Analysis - Bose Education Centre
Dimension Analysis - Bose Education Centre

Dynamics: Inverted pendulum on a cart
Dynamics: Inverted pendulum on a cart

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Relativistic mechanics

In physics, relativistic mechanics refers to mechanics compatible with special relativity (SR) and general relativity (GR). It provides a non-quantum mechanical description of a system of particles, or of a fluid, in cases where the velocities of moving objects are comparable to the speed of light c. As a result, classical mechanics is extended correctly to particles traveling at high velocities and energies, and provides a consistent inclusion of electromagnetism with the mechanics of particles. This was not possible in Galilean relativity, where it would be permitted for particles and light to travel at any speed, including faster than light. The foundations of relativistic mechanics are the postulates of special relativity and general relativity. The unification of SR with quantum mechanics is relativistic quantum mechanics, while attempts for that of GR is quantum gravity, an unsolved problem in physics.As with classical mechanics, the subject can be divided into ""kinematics""; the description of motion by specifying positions, velocities and accelerations, and ""dynamics""; a full description by considering energies, momenta, and angular momenta and their conservation laws, and forces acting on particles or exerted by particles. There is however a subtlety; what appears to be ""moving"" and what is ""at rest""—which is termed by ""statics"" in classical mechanics—depends on the relative motion of observers who measure in frames of reference.Although some definitions and concepts from classical mechanics do carry over to SR, such as force as the time derivative of momentum (Newton's second law), the work done by a particle as the line integral of force exerted on the particle along a path, and power as the time derivative of work done, there are a number of significant modifications to the remaining definitions and formulae. SR states that motion is relative and the laws of physics are the same for all experimenters irrespective of their inertial reference frames. In addition to modifying notions of space and time, SR forces one to reconsider the concepts of mass, momentum, and energy all of which are important constructs in Newtonian mechanics. SR shows that these concepts are all different aspects of the same physical quantity in much the same way that it shows space and time to be interrelated. Consequently, another modification is the concept of the center of mass of a system, which is straightforward to define in classical mechanics but much less obvious in relativity - see relativistic center of mass for details.The equations become more complicated in the more familiar three-dimensional vector calculus formalism, due to the nonlinearity in the Lorentz factor, which accurately accounts for relativistic velocity dependence and the speed limit of all particles and fields. However, they have a simpler and elegant form in four-dimensional spacetime, which includes flat Minkowski space (SR) and curved spacetime (GR), because three-dimensional vectors derived from space and scalars derived from time can be collected into four vectors, or four-dimensional tensors. However, the six component angular momentum tensor is sometimes called a bivector because in the 3D viewpoint it is two vectors (one of these, the conventional angular momentum, being an axial vector).
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