Athick spherical shell (centered at the origin, inner radius r, outer radius 2r) carries a volume charge distribution p(r) = k/r, where k is a negative constant. a. use coulomb's law to write an integral expression for the electric field at an arbitrary point on the x-axis (x, 0, 0). b. use gauss's law to find expressions for the electric field in all regions of space. c. graph the x-component of the electric field as a function of position along the x- axis.

Apositive rod is placed to the left of sphere a, and the spheres are separated. which best describes the spheres? sphere a is negative and sphere b is positive because protons from sphere a are attracted to the rod and move to sphere b. sphere a is negative and sphere b is positive because electrons from sphere b are attracted to the rod and move to sphere a. sphere a is positive and sphere b is negative because electrons from the rod move to sphere b and protons then move to sphere a. sphere a is positive and sphere b is negative because protons move from sphere b to the rod and also to sphere a.

Avolcano erupts next to a grassland area in a valley. a. describe three ways in which material released by the volcano could impact the grassland area. b. describe three ways in which the grassland ecosystem could recover after a volcanic eruption.

Which of the following are appropriate acceleration units?