A positive point charge Q is at the center of a spherical dielectric shell of an inner radius R i and an outer radius R 0 . The dielectric constant of the shell is e r . Determine E, V, D, and P as functions of the radial distance R.

Awater slide of length l has a vertical drop of h. abby's mass is m. an average friction force of magnitude f opposes her motion. she starts down the slide at initial speed vi. use work-energy ideas to develop an expression for her speed at the bottom of the slide. then evaluate your result using unit analysis and limiting case analysis. express your answer in terms of the variables h, m, l, vi, f and appropriate constants. vf v f