With a mass of 111.1 kg, m1m1is moving to the right with a velocity of 3.000 m/s. m2m2 is moving at 5.52 m/s to the LEFT and has a mass of 222.2 kg. After the elastic collision, m1m1 bounces off with a velocity of 8.000 m/s to the LEFT. Calculate the magnitude of the velocity of m2m2after the collision, in m/s.

Suppose that an electromagnetic wave which is linearly polarized along the x−axis is propagating in vacuum along the z−axis. the wave is incident on a conductor which is placed at z > 0 region of the space. the conductor has conductivity σ, magnetic permeability µ and electric permittivity ε. (a) find the characteristic time for the free charge density which dissipates at the conductor. (b) write the maxwell equations and derive the wave equation for a plane wave propagating in a conductor. (c) find the attenuation distance at which the incident amplitude reduces to e ^−1 of its initial value. (d) find the electric and magnetic fields inside the conductor. 8 (e) find the power loss per area of the incident electromagnetic wave at the surface of conductor.