What is the total energy of a proton moving at a speed of 2.4 × 108 m/s? (proton mass is 1.67 × 10−27 kg and c = 3.00 × 108 m/s)

dx 4x 3. In so-called "natural units" (which is just a sneaky way to let us ignore a bunch of constants), the relativistic kinetic energy of a rigid body is given by the formula 1 КЕ — т V1 – v2 where m is the rest mass of the body and v is its relative speed. Alien scientists on a space station are observing an object falling into a black hole. As the object falls, it is disintegrating, losing mass at a rate of 3 (so its mass is changing at a rate of -3). How fast is the kinetic energy of the main part of the object changing when its mass is 20, its velocity is .7, and it is accelerating at a rate of .1 (remember that acceleration is the derivative of velocity with respect to time: a = dt 1Note that this formula does not make sense when v > 1. That is because in natural units, a speed of 1 corresponds to the speed of light, and nothing with positive rest mass can go that fast.

Compute the kinetic energy of a proton (mass 1.67 x 10-27 kg) using both the nonrelativis- tic and relativistic expressions (a) 8.0 x 107 m/s and (b) 2.858 m/s

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 loses mass (i.e., kg/s). _________×109kg/s ?   Compare the energy produced per kg of fuel for the combustion of coal, d-d fusion and d-t fusion.d-d:  __________ ×107 MJ/kg?d-t:  ___________×108 MJ/kg  ?     The age of the sun has been estimated at 4.6 billion years. If it has radiatedenergy at the same rate throughout its lifetime, 3.8×1026 W and if its current mass is1.989×1030 kg, what fraction of its original mass has been lost _____________% ?

Nuclear Fusion Reaction In a human-scale model of a nuclear fusion reaction, two "deuterons" smash together head-on. Each has a mass of 2.0147kg and is moving at speed vd. The result is a "Helium-3 nucleus" (mass 3.0160kg) and a separate "neutron" (mass 1.0090kg пс ). Amazingly, this reaction produces a positive Wn of 3.96 × 10 14 J -- by converting mass into kinetic energy as predicted by Einstein's E = mc². The "neutron" moves with a speed of un after the reaction. E 4 Vd 1.63×107 m S Type your answer... + D D 3Не N. Proton Neutron http://fusion.srubar.net Un ×107: m S &

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?