magínese en el castillo del abismo de Helm del Señor de los Anillos. Usted estáen la cúspide del muro del castillo soltando rocas sobre monstruos de todas clases que están a 18.35 m debajo de usted. En el momento en que suelta una roca, un arquero que estáubicado exactamente debajo de usted dispara una flecha de manera vertical hacia arriba con una velocidad inicial de 47.4 m/s. La flecha impacta la roca en el aire. ¿Cuánto tiempo después de que usted soltóla roca sucede esto? Respuesta: 0.387 s

The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5. what is the specific heat ratio? show the math steps .

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.)

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island