Electromagnetic waves transport energy. this problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the poynting vector. in this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. its electric and magnetic field vectors are as follows: e⃗ =e0sin(kx−ωt)j^, b⃗ =b0sin(kx−ωt)k^. throughout, use these variables ( e, b, e0, b0, k, x, and ω) in your answers. you will also need the permittivity of free space ϵ0 and the permeability of free space μ0. note: to indicate the square of a trigonometric function in your answer, use the notation sin(x)^2 not sin^2(x

Ben(55 kg) is standing on very slippery ice when junior(25kg) bumps into him. junior was moving at a speed of 8m/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 .

You and a friend (alex) are at a a tree-top adventure park .. . part of the course requires you to climb up a rope. you both climb the same rope in the same amount of time. however, the tension in the rope is greater when alex climbs. who did the most work? alex did - more tension means more force - more force means more work was done you did - less tension means less force - less force means more work was done to find the work done, the force exerted and distance moved are multiplied. a couch is moved twice before you are happy with its placement. the same force was used to move the couch both times. if more work is done the first time it is moved, what do you know about the distance it was moved? when more work was done, the couch was moved less. when more work was done, the couch was moved further. when more work was done, the couch wasn't moved at all. when more work was done, the couch was moved the same distance.

What occurs during a combustion reaction