Calculate KE, E, p and f for proton.

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SUMMARY

The discussion focuses on calculating the kinetic energy (K), total energy (E), momentum (p), velocity (v), and frequency (f) for a photon, electron, and proton. The calculations yield the following results: for the photon, K = 0.621 MeV, E = 0.621 MeV, p = 0.621 MeV/c, v = 3 x 10^8 m/s, and f = 1.5 x 10^20 Hz; for the electron, K = 0.292 MeV, E = 0.803 MeV, p = 0.62 MeV/c, v = 0.77c, and f = 1.94 x 10^22 Hz; and for the proton, K = 0.0002 MeV, E = 938.0002 MeV, p = 0.62 MeV/c, v = 6.6 x 10^-4 c (1.98 x 10^5 m/s), and f = 2.2 x 10^23 Hz. The discussion highlights the importance of consistent rounding in calculations.

PREREQUISITES
  • Understanding of relativistic energy equations, specifically E = K + mc^2 and E^2 = (pc)^2 + (mc^2)^2.
  • Familiarity with the relationship between wavelength, momentum, and frequency, including λ = h/p and E = hf.
  • Basic knowledge of particle physics, particularly properties of photons, electrons, and protons.
  • Proficiency in unit conversions, especially between MeV and other energy units.
NEXT STEPS
  • Research the implications of relativistic effects on particle momentum and energy calculations.
  • Explore advanced topics in quantum mechanics, focusing on wave-particle duality and its applications.
  • Learn about the significance of rounding and significant figures in scientific calculations.
  • Investigate the behavior of particles at high velocities, particularly in the context of special relativity.
USEFUL FOR

Students and educators in physics, particularly those studying particle physics and energy-momentum relationships, as well as anyone involved in advanced calculations related to high

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Homework Statement


photon(0 MeV), electron(0.511MeV), photon(938 MeV) have wavelength of 2.0*10^-15 m, 2.0pm. Calculate their kinetic energy, total energy, momentum, all in MeV, and velocity and frequency.

Homework Equations


E = K + mc^2
E^2 = (pc)^2 + (mc^2)^2
E=hf
λ=h/p

The Attempt at a Solution


for photon:
K 0.621 MeV
E 0.621 MeV
p 0.621 MeV/c
v 3*10^8 m/s
f 1.5*10^20 Hz

for electron:
K 0.292 MeV
E 0.803 MeV
p 0.62 MeV/c
v 0.77 c
f 1.94*10^22 Hz

for proton:
K 0.0002 MeV
E 938.0002 MeV
p 0.62 MeV/c
v 6.6*10^-4 c = 1.98*10^5 m/s
f 2.2*10^23 Hz

I am a little bit not sure about my results regarding proton's. Any help verifying my answers will be appreciated because I don't have answer for this problem.
 
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You're right, but your rounding is a little weird. You have only two digits for p, but then you have 7 digits for E. With any reasonable rounding, you would have 2/3 digits for E and just get 0 for K.
 
thank you.
 

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