A particle initially has a speed of 0.37c. (Enter your answers in terms of c. Round your answers to at least three decimal places.) (a) At what speed does its momentum increase by 1%? 0.41 x c (b) At what speed does its momentum increase by 10%? c (c) At what speed does its momentum increase by 100%? с
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- 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.1. (15 pts) A moving hydrogen atom (rest mass 939 MeV/c2, wherec is the speed of light in vacuum) has a kinetic energy of 313 MeV. (a) What is the total energy of this atom in MeV? (b) What is this particle's speed in terms of c? (c) What is the magnitude of this atom's linear momentum? 24 MacBook AirConsider a proton that has a momentum of 1.00 kg·m/s. Part (a) Calculate the relativistic parameter γ for the proton. You will have to use a 2.998 × 108 for the speed of light to get this answer correct. Part (b) What is its speed, in meters per second? Such protons form a rare component of cosmic radiation with uncertain origins.
- A rocket speeds by the earth at 0.77c. The earthlings measure the moving rocket to be 158 m long. What is the length of the rocket as measured by the passengers on the rocket? Please give your answer in meters. 247.63I am currently working through a physics book (Spacetime Physics by Edwin Taylor) and I have come across this question and I don't know how to solve it: "Take the differential of this equation for g to obtain an approximate algebraic expression for Δg, the change in g, for a small change Δr in height." How do I sovle this question?The velocity of an alpha particle, He2+, with a mass of 6.64×10−27kg changes from v1=(−0.30, 0.45,0.10)c to v2=(−0.50, 0.30, −0.75)c, where c=3×108m/s. Determine the change in the particle’s kinetic energy.(In the kinetic energy formula, do not forget to square the speed of light.)