Water is going through a hose which has an inner diameter of LaTeX: 3.11\text{ cm}3.11 cm. Then, right before it exits the hose it goes through a nozzle that tapers down to a diameter of LaTeX: 3.75\text{ mm}3.75 mm. If the absolute pressure in the hose is LaTeX: 1.553\times10^{5}\text{ Pa}1.553 × 10 5 Pa, and the absolute pressure outside the hose and nozzle is LaTeX: 1.01325\times10^{5}\text{ Pa}1.01325 × 10 5 Pa, with what velocity will the water exit the nozzle into the air? Use LaTeX: 1000\text{ kg/m}^{3}1000 kg/m 3 for the density of water, and ignore turbulence, viscosity, etc.

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)

The image below shows numerous volcanic mountains in the pacific northwest. what is the most likely cause of the volcanic and earthquake activity in this region?

What properties of a moving object are used in determining the object's energy of motion