Aria has designed a laboratory apparatus which can be used to decelerate certain charged particles moving at high speeds. While calibrating the apparatus, Aria sends an ion with 11 protons, 9 neutrons, and 5 electrons into it. The ion
enters with a speed of 2.02 x 10 m/s and exits with a speed of 7.54 x 104 m/s.
If the ion is traveling in the +y direction, and the apparatus is 2.58 m across, calculate the magnitude and direction of the
electric field inside the apparatus.
Write your result in unit vector notation, assuming units of Newtons per Coulomb.

You throw a baseball directly upward at time t = 0 at an initial speed of 12.3 m/s. what is the maximum height the ball reaches above where it leaves your hand? at what times does the ball pass through half the maximum height? ignore air resistance and take g = 9.80 m/s2.

Experiment scenario 2: a biology student wants to conduct a study of how the amount of food affects the weight gain for mice. i have set up four cages with a mouse in each cage. fill in the boxes that would allow the biology student to complete the study correctly

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)