Question

Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a...

Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a particle has a speed of (a) 1.24 × 10-3c. and (b) 0.854c.

Homework Answers

Answer #1

a)

v = 1.24 x 10-3 c = 0.00124 c

KErel = relativistic kinetic energy = (1/sqrt(1 - (v/c)2) - 1) (m c2) = (1/sqrt(1 - (0.00124c/c)2) - 1) (m c2)

KErel = 6.92 x 1010 m J

KEnon = (0.5) m v2 = (0.5) m (0.0124 x 3 x 108)2 = 6.92 x 1012 m J

Ratio is given as

Ratio = KErel /KEnon = (6.92 x 1010 m) /(6.92 x 1012 m) = 0.01

b)

v = 0.854 c

KErel = relativistic kinetic energy = (1/sqrt(1 - (v/c)2) - 1) (m c2) = (1/sqrt(1 - (0.854c/c)2) - 1) (m c2)

KErel = 8.3 x 1016 m J

KEnon = (0.5) m v2 = (0.5) m (0.854 x 3 x 108)2 = 3.3 x 1016 m J

Ratio is given as

Ratio = KErel /KEnon = (8.3 x 1016 m) /(3.3 x 1016 m) = 2.52

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a...
Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a particle has a speed of (a) 1.69 × 10-3c. and (b) 0.872c.
Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a...
Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a particle has a speed of (a) 1.83 × 10-3c. and (b) 0.817c.
a) If the momentum of a nonrelativistic particle is doubled, its kinetic energy increases by a...
a) If the momentum of a nonrelativistic particle is doubled, its kinetic energy increases by a factor of 4. Explain why. If the momentum of a photon is doubled, by what factor does its energy increase b) The theory of relativity sets an upper limit on the speed that a particle can have. Are there also limits on its energy and momentum? Explain c) In what ways do photons resemble other particles such as electrons? Do photons have mass? Can...
Find the speed of a particle whose relativistic kinetic energy is 30 % greater than the...
Find the speed of a particle whose relativistic kinetic energy is 30 % greater than the Newtonian value for the same speed. Express your answer using two significant figures.
What is the percent difference between the classical kinetic energy, Kcl=1/2m0v^2, and the correct relativistic kinetic...
What is the percent difference between the classical kinetic energy, Kcl=1/2m0v^2, and the correct relativistic kinetic energy, K=m0c^2/?1?v2/c2 ?m0c2, at a speed of 0.20 c? Express your answer using two significant figures. K?KclK = % Part B What is the percent difference between the classical kinetic energy and the correct relativistic kinetic energy, at a speed of 0.80 c? Express your answer using two significant figures.
What is the percent difference between the classical kinetic energy, Kcl=12m0v2, and the correct relativistic kinetic...
What is the percent difference between the classical kinetic energy, Kcl=12m0v2, and the correct relativistic kinetic energy, K=m0c2/1?v2/c2?????????m0c2, at a speed of 0.10 c? What is the percent difference between the classical kinetic energy, Kcl=12m0v2, and the correct relativistic kinetic energy, K=m0c2/1?v2/c2?????????m0c2, at a speed of 0.90 c?
Show that in the relativistic case the equipartition theorem takes the form<m0 u^2(1-u^2/c^2)^-1/2>=3kT, where m0 is...
Show that in the relativistic case the equipartition theorem takes the form<m0 u^2(1-u^2/c^2)^-1/2>=3kT, where m0 is the rest mass of the particle and u its speed. Check that in the extreme relativistic case the mean thermal energy per particle is twice its value in the nonrelativistic case.
Show that when u<< c the relativistic kinetic energy does indeed return into its classical form.
Show that when u<< c the relativistic kinetic energy does indeed return into its classical form.
Consider an anti-proton (rest mass = 1.007 825 amu) whose kinetic energy is 450 MeV. •...
Consider an anti-proton (rest mass = 1.007 825 amu) whose kinetic energy is 450 MeV. • Compute the ratio v/c (particle speed divided by speed of light) using both the classical expression and the relativistic expression for kinetic energy? How much error (in %) is incurred by using the classical expression?   • Compute the magnitude of the anti-proton’s momentum using both the relativistic and classical formulas. Provide you answers in units of MeV/c.   
A non-relativistic electron has a kinetic energy of 5.4 eV. What is the energy of a...
A non-relativistic electron has a kinetic energy of 5.4 eV. What is the energy of a photon whose wavelength is the same as the de -Broglie wavelength of the electron? the electron? A) 2.4 keV B) 2.2 keV C) 2.0 keV D) 2.5 keV E) 2.7 keV
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT