Conservation Of Kinetic Energy
Conservation Of Kinetic Energy - Related Videos
10:16
Conservation of Energy Approach to System Analysis
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2023
Source: Ricardo Mejia-Alvarez and Hussam Hikmat Jabbar, Department of Mechanical Engineering, Michigan State University, East Lansing, MI The purpose of this experiment is to demonstrate the application of the energy conservation equation to determine the performance of a flow system. To this end, the energy equation for steady, incompressible flow is applied to a short pipe with a gate valve. The gate valve is then gradually closed and its influence on flow conditions is characterized. In...
03:07
Kinetic Molecular Theory: Molecular Velocities, Temperature, and Kinetic Energy
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2020
The kinetic molecular theory qualitatively explains the behaviors described by the various gas laws. The postulates of this theory may be applied in a more quantitative fashion to derive these individual laws. Collectively, the molecules in a sample of gas have average kinetic energy and average speed; but individually, they move at different speeds. Molecules frequently undergo elastic collisions in which the momentum is conserved. Since the colliding molecules are deflected off at different...
00:54
Conservation of Energy
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2023
The terms 'conserved quantity' and 'conservation law' have specific scientific meanings in physics, which differ from the meanings associated with their everyday use. For example, in everyday usage, water could be conserved by not using it, by using less of it, or by re-using it. However, in scientific terms, a conserved quantity of a system stays constant, changes by a definite amount that is transferred to other systems, and is converted into other forms of that quantity. In the scientific...
01:18
Kinetic Energy - I
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2023
It’s plausible to suppose that the greater the velocity of a body, the greater effect it could have on other bodies. This does not depend on the direction of the velocity, only its magnitude. At the end of the seventeenth century, a quantity was introduced into mechanics to explain collisions between two perfectly elastic bodies, in which one body makes a head-on collision with an identical body at rest. When they collide, the first body stops, and the second body moves off with the initial...
00:56
Kinetic Energy - II
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2023
The kinetic energy of a particle is one-half of the product of the particle’s mass and the square of its speed. Note that just as Newton’s second law can be expressed as either the rate of change of momentum or mass multiplied by the rate of change of velocity, so too can the kinetic energy of a particle be expressed in terms of its mass and momentum, instead of its mass and velocity. In the equation, the units of kinetic energy are mass times the speed-squared, or Note that the units of...
FAQs
During an elastic collision, the kinetic energy of each object may change even though the combined value remains constant. One object can lose motion-related energy while another gains it, so conservation does not mean every object keeps the same speed. This exchange makes the principle useful for tracking how motion is redistributed during an impact.
Momentum conservation tracks the total quantity of motion, whereas kinetic-energy conservation tracks energy associated with motion. In collision analysis, checking both principles helps distinguish an elastic event from one in which kinetic energy changes form. The two tests therefore provide complementary information about the same interaction.
When kinetic energy changes during an interaction, the missing amount has not necessarily vanished: it may be associated with heat, sound, or permanent deformation. This distinction identifies an inelastic process, even though total energy remains conserved. Recognizing the difference prevents analysts from applying the elastic-collision calculation to every impact.
Begin by identifying the objects and comparing their motion before and after the collision. Write the combined kinetic energy for the initial state and set it equal to the combined value for the final state. If a velocity is unknown, use this relationship to predict it, then compare the result with momentum conservation to assess the collision.
Applications include ordinary collisions, pendulum impacts, gas-particle interactions, and molecular interactions. In each case, the principle offers a way to examine how motion-related energy is exchanged or retained across the event. Its value is especially clear when researchers need to connect observable motion before and after an interaction with a physical model.
For gas particles and molecules, the same energy accounting used for larger colliding objects helps analyze interactions involving motion. Examining the combined kinetic energy before and after an event can reveal whether the interaction matches an elastic model or involves energy changes associated with other effects. This extends collision analysis from visible impacts to microscopic systems.