A supernova explosion of a 2.49 x 10³1 kg star produces 1.04 × 1044 J of energy. a) How many kilograms of mass are converted to energy in the explosion? kg b) What is the ratio of mass destroyed to the original mass of the star?
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- a) Calculate the kinetic energy required to accelerate a single proton from a rest position to 0.9999c. The mass of a proton is 1.67x10*-27 kg. b) Find the ratio of the kinetic energy to the energy of a proton at rest. c) Explain why no particle accelerator will ever be able to accelerate any particle to the speed of light.What is the mass (in kg) of the Z0 ? What is the ratio of the mass of the Z0 to the mass of the proton?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.
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- dp" qF" u' (v summation implied), dr Verify that the relativistic force law where E, E, cB. -cB, E. E, %3D Е, -сВ. Е. сВ, -сВ, cBx yields the relativistic Lorentz force equation d(ymv) =q(E+v×B) q(È +vx. dt when evaluated on the space components a = 1,2,3.The Sun produces energy at a rate of 4.00 x 1026 W by the fusion of hydrogen. How many kilograms of mass is the Sun losing per second?A particle has a rest mass of 6.15 x 10-27 kg and a momentum of 4.24 x 10-18 kg-m/s. Determine the total relativistic energy E of the particle. J E = Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest- K Erest