Two charged particles are moving with equal velocities of 2.30 m/s in the +x-direction. At one instant of time the first particle with a charge of -2.50 µC is located at x = 0 and y = +8.70 cm, and the second particle with a charge of 7.80 µC is located at x = 0 and y = -8.70 cm. 1. What is the y-component of the magnetic force on the first particle due to the second?

2. How fast would the charges have to be moving for the magentic force to be equal in magnitude to the electric force?

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.)