18. If kinetic energy, Ek = Erel – mc2 = (y – 1)mc”, that is kinetic...
(3) (10 pts): The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = | Fdx. a) Writing Newton's second law as F=dp/dt, show that W = S v dp and integrate by parts using the relativistic momentum to obtain E = mc²y b) Use the expression for the relativistic energy and relativistic momentum of a particle of mass m to demonstrate the important relation...
Kinetic energy Kinetic energy, Ek, is given by the formula Ek=12mv2 where m is mass is the mass in kilograms and v is velocity in meters per second. Part B The tomato is dropped. What is the velocity, v, of the tomato when it hits the ground? Assume 94.2 % of the work done in Part A is transferred to kinetic energy, E, by the time the tomato hits the ground.
A particle is found to carry the kinetic energy,
K=(-1)mc2,
which is equal to the energy of a photon. If the speed of the
particle is v=0.500c, find the ratio of the
wavelength of the photon to the de Broglie wavelength of the
particle.
Suppose that a proton is initially at rest. The proton’s kinetic energy is increased by accelerating it through a potential difference of 1.70×108 V. The mass of the proton is 938.3 MeV/c2. What is the proton’s Kinetic Energy (K)? Remember that K = Work Done = qV. Give your answer in eV. If an energy plant produces energy at a rate of 98 MW, determine how many protons must be converted to energy each second in order to do this....
answer this question with
steps:
3. In special relativity, the kinetic energy of a particle of mass m and velocity v is given byKE=yme-me, where γ = 1/ and c is the speed of light. (a) (2 points) Find the first three non-zero terms of the Taylor series expansion of γ, in the non-relativistic limit u/c 1. Hint: You can expand in either v/c orv/c2 (b) (1 point) What is the first non-zero term for the kinetic energy KE in...
What is the meaning of Einstein’s famous equation E0 = mc2? a) This represents the total energy of an object of mass m. b) This represents the energy equivalent of the mass of an object at rest. c) This represents the relativistic kinetic energy of an object of mass m. d) This represents the energy equivalent of the mass of an object traveling at the speed of light. e) This represents the maximum energy an object can have. Almost positive...
Attempt 1 Calculate the average translational kinetic energy, Ek, for one mole of gas at 789 K. Translational kinetic energy is sometimes called average kinetic energy. Ek = 1183.5 J/mol Incorrect Calculate the average translational kinetic energy for a single gas molecule at 789 K. 9 e C
Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a particle has a speed of (a) 2.26 × 10-3c. and (b) 0.856c.
You are given that gamma=5A) Calculate v/cB) The non relativistic kinetic energy of a particle of mass m can be written as xmc^2 where x is a number. For gamma=5 what is x?C) The relativistic expression is ymc^2. For gamma=5 what is y?
An asteroid with a mass of 2500 kg has a relativistic kinetic energy of 1 .5 Calculate the speed of the asteroid. M [ans: 0.80d