When you are painting a car with a sprayer, you get more even coverage (the paint droplets are evenly spread out) and less overspray (there are very few droplets of paint that don’t end up on the vehicle) if you give the droplets a strong electric charge.

a. why does charging the droplets give more even coverage?
b. why does charging the droplets ensure that most of the paint ends up on the car?

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.