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Derive the mass to velocity relation
Derive the mass to velocity relation

Monday, June 19, 2006
Monday, June 19, 2006

... This relationship says that any conservative force acting on an object within a given system is the same as the negative derivative of the potential energy of the system with respect to position. Does this statement make sense? ...
Chapter 11
Chapter 11

... In general, the motion of a pendulum is not simple harmonic However, for small angles, it becomes simple harmonic › In general, angles < 15° are small enough › sin θ = θ › Ft = - m g θ  This force obeys Hooke’s Law ...
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... smooth and shiny surface. Even smooth and shiny surfaces have bumps and tiny points on them, which catch and try to stick together when they come in contact with each other. Different objects have different bumps and grooves on their surfaces. Some surfaces have few points to catch and stick togethe ...
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SHM notes - Sign in to St. Francis Xavier Catholic School System

... the length and on the free-fall acceleration. length period  2 free-fall acceleration ...
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Chapter 8 Accelerated Circular Motion
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... Thus, in uniform circular motion there must be a net force to produce the centripetal acceleration. The centripetal force is the name given to the net force required to keep an object moving on a circular path. The direction of the centripetal force always points toward the center of the circle and ...
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... In this experiment, you’re going to drop coffee filters from a height and measure their terminal velocity. A coffee filter has a wide area and will have more wind resistance. (For example, dropping a pencil and a coffee filter will result in the pencil hitting the ground first.) Move to page 2.1. 1. ...
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Conservative Internal Forces and Potential Energy

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b. 4 m/s 2

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Elastic Potential Energy

... it neutral position. It is now released. Neglecting the mass of the spring and assuming that the mass is sliding on a frictionless surface, how fast will the mass move as it passes the neutral position of the spring? (4) A 5.0 g pellet is placed in the barrel of a toy gun and is propelled by a sprin ...
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Classical central-force problem



In classical mechanics, the central-force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center. In many important cases, the problem can be solved analytically, i.e., in terms of well-studied functions such as trigonometric functions.The solution of this problem is important to classical physics, since many naturally occurring forces are central. Examples include gravity and electromagnetism as described by Newton's law of universal gravitation and Coulomb's law, respectively. The problem is also important because some more complicated problems in classical physics (such as the two-body problem with forces along the line connecting the two bodies) can be reduced to a central-force problem. Finally, the solution to the central-force problem often makes a good initial approximation of the true motion, as in calculating the motion of the planets in the Solar System.
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