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Relativistic momentum is derived from the principles of special relativity, which describe how the laws of physics apply in different frames of reference moving at constant velocities relative to each other. The formula for relativistic momentum takes into account the effects of time dilation and length contraction at high speeds, resulting in a modified equation compared to classical momentum. This equation is derived through mathematical calculations and is used to describe the momentum of objects moving at speeds close to the speed of light.
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What is the derivation of relativistic momentum and how does it differ from classical momentum?
The relativistic momentum is derived from Einstein's theory of special relativity, which takes into account the effects of high speeds and near-light velocities. It differs from classical momentum in that it includes a factor of gamma () to account for the increase in mass as an object approaches the speed of light. This means that as an object's velocity increases, its relativistic momentum also increases, unlike classical momentum which remains constant at all speeds.
How can the derivation of the 4-momentum in Compton scattering be explained in a single question?
How is the 4-momentum derived in Compton scattering?
What is the ethimology of the word momentum?
The word "momentum" comes from the Latin word "momentum," which means movement or motion. It is derived from "movimentum," which is the past participle of the Latin verb "movere," meaning to move.
What is the dispersion relation for free relativistic electron waves?
The dispersion relation for free relativistic electron waves is given by the equation: E2 (pc)2 (m0c2)2, where E is the energy of the wave, p is the momentum, c is the speed of light, and m0 is the rest mass of the electron.
When is momentum conserved?
its not possible.. momentum is always conservedYou could say that momentum, in its classical definition, is not conserved at relativistic velocities. Momentum is conserved at relativistic speeds if momentum is redefined as; p = γmov where mo is the "rest (invariant) mass" and γ is the Lorentz factor, which is equal to γ = 1/√(1-ʋ2/c2) and ʋ is the relative velocity. Some argue that the relativistic mass, m' = γmo, is unnecessary, in which case the proper velocity,defined as the rate of change of object position in the observer frame with respect to time elapsed on the object clocks (its proper time) can be used.Proper velocity is equal to v = γʋ, so p = mov. mo here is the invariant mass, where before it represented the "rest mass."The problem with Newton's p = mv, is that with this definition, the total momentum does not remain constant in all isolated systems, specifically, when dealing with relativistic velocities. Mass and or velocity is dependent on the relative velocity of the observer with respect to the isolated system.It is important to add that with this new definition momentum is conserved. With that said, my point is not to argue that momentum is not always conserved but to simply offer an explanation for the relatively (no pun intended) common statement "momentum is not conserved in ALL isolated systems" which could be where the original question stems from.
What is the derivation of relativistic momentum and how does it differ from classical momentum?
The relativistic momentum is derived from Einstein's theory of special relativity, which takes into account the effects of high speeds and near-light velocities. It differs from classical momentum in that it includes a factor of gamma () to account for the increase in mass as an object approaches the speed of light. This means that as an object's velocity increases, its relativistic momentum also increases, unlike classical momentum which remains constant at all speeds.
How does the earth resist the sun?
In a word 'Momentum'. The Earth's Mass and its Speed combined give it Momentum and this is what resist's The Sun. There are all manner of Quantum Mechanical Theories and Relativistic Theories that are far more complex.
What is meant by four momentum transfer?
Simply put, four-momentum transfer is the special relativistic spacetime analog of classical (three-) momentum transfer. In classical physics, two bodies can interact and exchange momentum in three spacial dimensions. In particle physics, strictly spatial momentum vectors do not suffice. Instead we use four-momentum, a Lorentz vector. Four-momentum transfer is often referred to as Q^2 is particle physics literature. An interaction that transfer a large amount of four-momentum is a high Q^2 interaction.
How can the derivation of the 4-momentum in Compton scattering be explained in a single question?
How is the 4-momentum derived in Compton scattering?
Why do you need momentum with kinetic energy?
Momentum is the product of mass and velocity. Kinetic Energy is the product of mass and velocity squared. As you can see, since Kinetic Energy is derived from mass and velocity, and Momentum is derived from mass and velocity, you cannot have one without the other.
Momentum Magnitude?
A measurement system derived from the amount of displacement (energy) of the earthquake.
What is the ethimology of the word momentum?
The word "momentum" comes from the Latin word "momentum," which means movement or motion. It is derived from "movimentum," which is the past participle of the Latin verb "movere," meaning to move.
What is the dispersion relation for free relativistic electron waves?
The dispersion relation for free relativistic electron waves is given by the equation: E2 (pc)2 (m0c2)2, where E is the energy of the wave, p is the momentum, c is the speed of light, and m0 is the rest mass of the electron.
When is momentum conserved?
its not possible.. momentum is always conservedYou could say that momentum, in its classical definition, is not conserved at relativistic velocities. Momentum is conserved at relativistic speeds if momentum is redefined as; p = γmov where mo is the "rest (invariant) mass" and γ is the Lorentz factor, which is equal to γ = 1/√(1-ʋ2/c2) and ʋ is the relative velocity. Some argue that the relativistic mass, m' = γmo, is unnecessary, in which case the proper velocity,defined as the rate of change of object position in the observer frame with respect to time elapsed on the object clocks (its proper time) can be used.Proper velocity is equal to v = γʋ, so p = mov. mo here is the invariant mass, where before it represented the "rest mass."The problem with Newton's p = mv, is that with this definition, the total momentum does not remain constant in all isolated systems, specifically, when dealing with relativistic velocities. Mass and or velocity is dependent on the relative velocity of the observer with respect to the isolated system.It is important to add that with this new definition momentum is conserved. With that said, my point is not to argue that momentum is not always conserved but to simply offer an explanation for the relatively (no pun intended) common statement "momentum is not conserved in ALL isolated systems" which could be where the original question stems from.
What is the derived unit of momentum?
the SI unit of momentum is :- kg.ms-1 and we know that, kinetic energy = 1/2 mv2 E=p2/2m p=(2Em)1/2 so the derived units are (J.kg)1/2
Must a particle have non-zero rest mass in order to have momentum?
Yes. A particle of zero rest mass has ONLY its relativistic mass when in motion. There are actually no photons just sitting around.
What is the momentum conservation's principle?
The principle of momentum conservation states that the total momentum of a system remains constant if no external forces are acting on it. This means that in a closed system, the total momentum before an event must equal the total momentum after the event. This principle is derived from Newton's third law of motion.
