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Relativistic Energy

While length decreases between two points at high speeds, the mass of an object will increase. This has a significant effect on what the object is capable of doing. Einstein’s famous relationship for energy is: E=mc^2 This includes both the kinetic energy and rest mass energy for a particle. The kinetic energy of a high speed particle can be calculated from: KE=mc^2-m_0 c^2 The relativistic energy of particle can also be expressed in terms of its momentum in the expression E=mc^2= √(p^2 c^2+ m_0^2 c^4 ) The relativistic energy expression is what is used to calculate binding energies of nuclei and the energy yields of nuclear fission and fusion.

De-Broglie relations to compute the wavelengths and frequencies

Please show set and calculations. 1. Wave-particle duality Use the de-Broglie relations to compute the wavelengths and frequencies associated with (a) a photon with energy of 1keV (b) a ball of mass 10g moving with speed 10m/s (c) a neutron with a kinetic energy of 0.05eV.

Atomic and Nuclear Physics: Kinetic energy of electron, momentum of proton

An electron and a proton are each accelerated through a potential difference of 10.0 million volts. a) What is the kinetic energy of the electron? What is the kinetic energy of the proton? b) Calculate the momentum (MeV/c) of the proton using classical equations. c) Calculate the momentum (MeV/c) of the proton using relati

Final parameters of proton under constant acceleration

A proton (m=1.67*10^-27kg) is being accelerated along a straight line at 3.6*10^5 m/sec ^2 in a machine. If the proton has an inital speed of 2.4*10^7 m/sec: What is the final velocity after traveling for 2 sec? What is the force acting on the proton? What is the increase in its kinectic energy?

Accelerating an Electron Between Two Parallel Plates

An electron (mass m = 9.11E-31 kg) is accelerated in the uniform field E (E = 1.64E+4 N/C) between two parallel charged plates. The separation of the plates is 1.33 cm. The electron is accelerated from rest near the negative plate and passes through a tiny hole in the positive plate, as seen in the figure above. With what speed

Kinetic Energy of a Moving Object

The kinetic Energy (K) of a moving object varies jointly with its mass (m) and the square of its velocity (v). If an object weighing 90 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 Joules, find its kinetic energy when the velocity is 32 meters per second.

What Kinetic Energy Must this Beam Proton Have?

In the Tevatron accelerator/storage ring at the Fermi National Accelerator Laboratory, two beams of protons travel in opposite directions each with a total energy of 1 TeV and interact. Since these beams have momenta of equal magnitude but opposite direction, they interact in their center of momentum inertial frame. Hence s2 =

Equipartition theorem for the (relativistic) case E = c|q|

Consider a classical "degree of freedom" that is linear rather than quadratic: E = c|q| for some constant c. (An example would be the kinetic energy of a highly relativistic particle in one dimension, written in terms of its momentum.) Repeat the derivation of the equipartition theorem for this system, and show that the average

Relativistic Collision

This is problem 12.34 from Griffiths' third edition of Electrodynamics: In the past, most experiments in particle physics involved stationary targets: one particle (usually a proton or an electron) was accelerated to a high energy E, and collided with a target particle at rest (Fig12.29a). Far higher relative energies are o

Find the minimum kinetic energy of a proton.

(a) Show that the kinetic energy of a nonrelativistic particle can be written in terms of its momentum as KE = P2 (squared)/2m. (b) Use the results of (a) to find the minimum kinetic energy of a proton confined within a nucleus having a diameter of 1.0 x 10-15 m.