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Work - HRSBSTAFF Home Page
Work - HRSBSTAFF Home Page

... ball of mass 45.9g if it starts at rest and attains a final velocity of 35m/s? 2. If the golf ball in problem 1 was in contact with the golf club for 0.027s, what force acted on the golf ball? 3. What is the change in momentum of a car as it accelerates from 15m/s to 25m/s if the car as a mass 950kg ...
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... energy input, or the percentage of the work input that is converted to work output. No real machine can be 100% efficient. The wasted energy is dissipated as heat. An inclined plane is a machine. Its theoretical mechanical advantage, assuming negligible friction, is the length of the incline divided ...
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... insist on sticking numbers in there early on, you have to do the same problem three times. Me, I’m lazy. I’d rather do it once. Once again, we start by stating everything we know: We know the masses of the balls. We know the initial speeds. We also know that the collision will be head-on, so this is ...
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... When a quarterback throws a football, the angle for a high, lob pass is related to the angle for a low, bullet pass when both footballs land in the same place. The sum of the angles is 90o. In distance contests for pumpkins launched by cannons, catapults, trebuchets, and similar devices, pumpkins ac ...
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physical science: force and motion I

... Most of us believe that four forces are all that are needed, but because we have seen remarkable new discoveries, we are willing to send a few of our colleagues off to search for an experiment which demands a fifth force. If you can show that five forces are needed to explain the universe, I guarant ...
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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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