The electric field of a plane wave propagating in a lossless, non-magnetic, dielectric material with a relative permittivity er=1 is given by: = 100 cos(4t10 t - kz)ux (v/m) [5 marks] q 3(a) determine the angular frequency, the frequency, the wave velocity, the wavelength and the wave vector (magnitude and direction). [10 marks] q 3(b) calculate the time domain expression for the magnetic field, h. [10 marks] q 3(c) give the time domain expression for the instantaneous poynting vector associated with this tem wave. [5 marks] q 3(d) what is the time average value of this poynting vector?

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?

Heterogeneous mixture with larger particles that never settle is

Ben (55kg) is standing on very slippery ice when junior (25kg) bumps into him. junior was moving at a speed of 8 m/s before the collision and ben and junior embrace after the collision. find the speed of ben and junior as they move across the ice after the collision. give the answer in m/s. describe the work you did to get the answer.