Find the speed of a particle (in terms of c) given that its kinetic energy is twice as large as its rest energy.
Find the speed of a particle (in terms of c) given that its kinetic energy is...
A particle has a kinetic energy equal three-quarters its rest mass energy. What is the speed of this particle? (Answer in terms of c)
At what speed, as a fraction of c, is a particle's kinetic energy twice its rest energy? Express your answer using three significant figures. v=
Given the formula of the kinetic energy of a particle m with speed v: KE = 1⁄2mv2 , and the formula of the gravitational potential energy: PE = -GMEm/R, where G is gravitational constant and ME and R=6378 km are the mass and the radius of Earth. Now the particle is shot from Earth surface to space. Find the minimum required initial speed for this particle to completely escape the influence of Earth gravity (i.e. PE=0). Notice that the gravitational...
Part a) What is the kinetic energy of a 1.6 g particle with a speed of 0.800c? Express your answer in joules. Part b) What is the rest energy of a 1.6 g particle with a speed of 0.800c? Express your answer in joules. Part c) What is the total energy of a 1.6 g particle with a speed of 0.800c? Express your answer in joules to two significant figures.
A. What is the kinetic energy of a 1.2 g particle with a speed of 0.800c? Express your answer in joules. B. What is the rest energy of a 1.2 g particle with a speed of 0.800c? Express your answer in joules. C.What is the total energy of a 1.2 g particle with a speed of 0.800c? Express your answer in joules to two significant figures.
2. The ratio between the kinetic energy of a particle and its rest mass energy is called the reduced kinetic energy of a particle. Find the expression which relates the radius of a proton synchrocyclotron to the reduced energy of the accelerated proton of maximum energy. Find the radius of a proton synchrocyclotron which works with a magnetic field of 2 Tesla and accelerates protons up to 650MeV?
3. (i) Find the kinetic energy of a particle of mass m with position given by the coordinates (s, u, v), related to the ordinary Cartesian coordinates by y z = 2s + 3 + u = 2u + v = 0+03 (ii) Find the kinetic energy of a particle of mass m whose position is given in cylindrical coordinates = = r cos r sine y (iii) Find the kinetic energy of a particle of mass m with position...
An electron with rest energy of 0.511MeV moves with speed u=0.2c. Find its total energy, kinetic energy, and momentum.
Find the speed of a particle whose relativistic kinetic energy is 40 % greater than the Newtonian value for the same speed. Express your answer using two significant figures.
A particle of mass m moves in one dimension. Its potential energy is given by U(x) = -Voe-22/22 where U, and a are constants. (a) Draw an energy diagram showing the potential energy U(). Choose some value for the total mechanical energy E such that -U, < E < 0. Mark the kinetic energy, the potential energy and the total energy for the particle at some point of your choosing. (b) Find the force on the particle as a function...