A nuclear power reactor generates 3.00 x 10^9 W of power. In one year, what is the change in the mass of the nuclear fuel due to the energy conversion? (A 1 W power source gives 1 J/s)

Radium is a radioactive element whose nucleus emits an alpha particle (a helium nucleus) that has a kinetic energy of about 7.6x 10¹3 J(4.7 MeV). To what amount of mass is this energy equivalent? Number 0.0051 Units No units

In special relativity, we introduced the momentum of a particle in a given Lorentz frame as pu = (E, pi ), where E is the energy of the particle and pi is the relativistic 3-momentum. Explain why, in general relativity, the energy of a particle measured by an observer is given, irrespective of the coordinate system used, by −p · uobs, where pu is the momentum of the particle and uuobs is the velocity of the observer in those coordinates.

Vector C has x-component -1.54 and a y-component -4.53. What is the angle measured counter clock wise from +x axis in degrees. Specify answer to one decimal.

The sun generates energy through nuclear fusion, which converts mass intoenergy. If the sun radiates 3.8 × 1026 W of power, calculate the rate at which the sun losesmass (i.e., kg/s).

The kinetic energy of a mass moving in the x-y plane is: T = mx² + my² Using the transformation = rcos (0) and y = rsin (0), derive a general expression for kinetic energy of the mass in the r, basis.

The carbon isotope 14C is used for carbon dating of objects.  A  14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino.  Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino.  The electron has a mass of 9.11x 10-31 kg and a speed of 1.0 x107  m/s.  While the anti neutrino has  a momentum of 4.0x10-24 kg-m/s.  If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.

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A particle has γ=18,399. a)Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.

A Uranium-235 atom (235.0439 u) that is initially at rest undergoes a fission reaction (breaks apart) and releases Barium-139 (138.9088 u) and Krypton-95 (94.9398 u), and two neutrons (1.00866491588 u). If the Barium-139 moves at 1.10 x 10^5 m/s [E] and the Krypton-95 moves at 1.59 x 10^5 m/s [N 15 degrees W], calculate the combined momenta of the remaining neutrons. Recall: u = 1.6605* 10^-27 kg