The classical expression for the kinetic energy, T, of a moving particle (translational energy) is: T = 1/2mv^2For conservative forces (path independent), the one-dimensional net force is the negative slope of the potential energy, vV, with repect to position F = -dV/dx

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.)

If a simple machine reduces the strength of a force, what must be increased?

For the car in the picture ,in which direction is the normal force? -into the screen -down -out of the screen -up