The nonrelativistic expression for the momentum of a particle, p = mv, can be used if v << c. For what speed does the use of this formula give an error in the momentum of (a) 1.00% and (b) 10.0%?

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Q: If a massless particle has momentum 1,349 MeV/c, calculate its energy in MeV.

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Q: A particle has a rest energy of 4.47×10−13 J and a total energy of 9.67×10−13 J. Calculate the…

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Q: (i) An electron with rest energy 0.511 MeV travels with speed u = 0.7c. Find (a) its total energy…

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Q: A proton has rest mass 1.67x10-27kg and momentum 5.00x10-19kg m/s. Find the ratio of the kinetic…

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Q: We are all used to the familiar expression mv²/2 for the kinetic energy of the particle of mass m…

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Q: An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter…

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Q: Show analytically that a particle with momentum p and energy E has a speed given by pc m²c² + p² E

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A: The relativistic energy is

Q: A particle has a rest mass of 7.15×10−27 kg and a momentum of 5.75×10−18 kg·m/s. Determine the total…

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Q: Determine the total relativistic energy E of the particle.   Find the ratio of the particle's…

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Q: If relativistic effects are to be less than 3%, then y must be less that 1.03. At what relative…

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Q: At what speed does the classical momentum, p=mv, give an error, when compared with the relativistic…

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Q: Show analytically that a particle with momentum p and energy E has a speed given by pc²2 pc E Vm²c²…

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Q: A particle of mass m moves with a momentum of magnitude p. Express p in terms of KE.

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Q: At what speed (in m/s) is the magnitude of a particle's relativistic momentum 20.8% larger than its…

A: Relativistic momentum p is classical momentum multiplied by the relativistic factor γ. p = γmu where…

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Q: A particle moving at speed 0.40c has momentum p0 . The speed of the particle is increased to 0.80c.…

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Q: An elementary particle of mass 9.5 x 10-27 kg is moving at speed 9 x 107 m/s. (A) Its relativistic…

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Q: Ignoring relativistic effects, what is the speed of an electron (m=9.11x10-31 kg) that has been…

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Q: If the kinetic energy of a particle is equal to its rest energy then what must be its speed?

A: Given ,        the kinetic energy of a particle equals to its rest energy                speed (v)…

Q: The nonrelativistic expression for the momentum of a particle, p = my, can be used if v « c. For…

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Q: A particle has a rest energy of 4.31×10−13 J and a total energy of 8.33×10−13 J. Calculate the…

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Q: The nonrelativistic expression for the momentum of a particle,p = mv, can be used if v &lt;&lt;c.…

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Q: At what speed (in m/s) is the magnitude of a particle's relativistic momentum 15.3% larger than its…

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Q: A golf ball travels with a speed of 90.0 m/s. By what fraction does its relativistic momentum…

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Q: Write the equations for momentum transformation in relativity.

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.