Ahemisphere made of dielectric material has its flat surface on the x-y plane. it is polarized in the z direction: p = p zˆ , where p is a constant. a) find the bound volume charge density. b) find the bound surface charge density on the flat and on the hemispherical surface. c) find by integration the net bound charge of the hemisphere. d) find by integration the dipole moment of the bound charge, with your coordinates’ origin at the center of the flat surface (i. e., by the formulas of chapter 3). e) calculate the dipole moment also by using the definition of the polarization p in section 4.1.4, which results into p = ∫ p dv .

Momentum lab this lab uses a phet simulation. navigate to the phet momentum simulation. if you don’t see the image below when you click on the link, then you need to either enable adobe flash (click on the puzzle piece on your screen) or you need to install adobe flash (this is a free program). change the vectors to be momentum vectors only. they are yellow. make the mass of both balls the same. hit play and notice what happens to the momentum vectors before and after the collision. you might want to play the sim multiple times. click on restart or return balls to start over. to see numbers, check the show values box (inside the green box). red’s momentum vector before the collision is green’s momentum vector after the collision. question 1 options: shorter than longer than equal to question 2 (1 point) saved since green bounces off red, this must be an collision. question 2 options: explosion inelastic elastic question 3 (1 point) red transfers of its momentum to green during the collision. question 3 options: little all most none question 4 (4 points) why does red transfer all its momentum to green? back up your answer with information from the simulation. write at least 2 sentences.