Acharged insulating sphere radius of b has a non-constant volume charge density of ρ = -6αr -1. find the electric field magnitude in each region in terms of α (outside the object and inside the inside the object). sketch a graph of the electric field magnitude as a function of radius for r = 0 to r = 2b. make sure it is roughly to scale and label the magnitude of the field at r = b and 2b. then find the electric potential in each region in terms of α, and sketch a graph of the electric potential as a function of radius for r = 0 to r = 2b. make sure it is roughly to scale and label the potential at r = 0, b, and 2b. your reference point for the potential is that v = 0 at r = ∞.

When measuring volume, why is it important to use the correct tools and units to attain the greatest accuracy? use specific examples from the lab to support your answer. (5 points)

Abus travels 280km south along a straight path with an average velocity of 88km/h to the south. the bus stops for 24 min, then it travels 210 km south with an average velocity of 75 km/h to the south. how long does the total trip last?

Researchers conducted an experiment to identify the effects of three different hand sanitizers on the growth of bacteria. the researchers grew one type of bacteria in twenty-four identical covered petri dishes. then, they opened eighteen petri dishes and applied the three hand sanitizers to six petri dishes each. they left the remaining six petri dishes closed as a control group. when the researchers measured the growth of bacteria two days later, the six dishes that had no hand sanitizer showed the least amount of bacterial growth. the researchers concluded that not using any hand sanitizer would lead to the least bacterial growth. which statement best explains why the researchers’ conclusion was not justified? the experiment tested too many variables. the control group was not treated the same as the experimental group. the sample size of twenty-four petri dishes is not large enough. the single type of bacteria is not adequate to make any conclusions.