The total electric field E consists of the vector sum of two parts. One part has a magnitude of E1 = 1248 N/C and points at an angle θ1 = 40° above the +x axis. The other part has a magnitude of E2 = 1578 N/C and points at an angle θ2 = 53° above the +x axis. Find the magnitude and direction of the total field. Specify the directional angle relative to the +x axis.

Light that is polarized along the vertical direction is incident on a sheet of polarizing material. only 96% of the intensity of the light passes through the sheet and strikes a second sheet of polarizing material. no light passes through the second sheet. what angle does the transmission axis of the second sheet make with the vertical?

Which of the following are not typically included in the periodic table? a. atomic mass b. element symbol c. isotopes d. number of electrons

Air is contained in a variable-load piston-cylinder device equipped with a paddle wheel. initially, air is at 400 kpa and 17°c. the paddle wheel is now turned by an external electric motor until 75 kj/kg of work has been transferred to air. during this process, heat is transferred to maintain a constant air temperature while allowing the gas volume to triple. calculate the required amount of heat transfer in kj/kg.