Show that the vector potential given in cylindrical coordinates by a- bor θ describes a uniform magnetic field b =-boz. b): find the lagrangian for a particle with mass m and charge q moving through this field and find the equations of motion. find the two conserved quantities po and p, associated with the fact that the lagrangian is independent of θ and z c): show that if we choose the origin to be on the path of the particle, then 0 at all times. solve the equations of motion for this case and show that the particle moves in a helix.

What pressure difference is required between the ends of a 2.0-m-long, 1.0-mm-diameter horizontal tube for 40 c water to flow through it at an average speed of 4.0 m/s?

Anonzero net force acts on a particle and does work. which one of the following statements is true? the kinetic energy of the particle changes, but the speed of the particle does not change. the kinetic energy of the particle does not change, but the speed of the particle does change. the kinetic energy of the particle changes, but the velocity of the particle does not change. the kinetic energy and the speed of the particle change, but the velocity of the particle does not change. the kinetic energy, speed, and velocity of the particle change.

The first law of thermodynamics states that heat added to a system is neither created nor destroyed but is as it changes into other forms of energy.