The x component of velocity in an incompressible flow field isgivenbyu=Ax, whereA=2s−1 in meters. The pressure at point ðx, yÞ=ð0,0Þ is p0 =190kPa gage. The density is rho=1 :50kg=m3 and the z axis is vertical. Evaluate the simplestpossibley component of velocity. Calculate the fluid acceleration and determine the pressure gradient at point ðx, yÞ=ð2,1Þ. Find the pressure distribution along the positive x axis.

The key to stability is feedback between the reservoir and the fluxes into and/or out of the reservoir. assume that the rate of outflow from a reservoir depends on the size of the reservoir according to the following relationship: outflow rate= k x (size of reservoir), where k is a constant. a reservoir of water has a volume of 5000 liters, and the rate of outflow at steady state is 25 liters per minute. what is k? (give both the numerical value and its units.) what is the residence time? what is the relationship between k and the residence time?

You are given a vector a = 125i and an unknown vector b that is perpendicular to a. the cross-product of these two vectors is a × b = 98k. what is the y-component of vector b?

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j? 1. write the equation 2.list out your known variables 3.plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final