# Relativistic Energy

### 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.