Experiment shows that the frictional drag force F of a car moving in air depends on the velocity V of it's motion, density P of the air through which it travels, and the cross-sectional area of the car. if the force is F = KP^x V^2y A ^z. Where x, y and z are the integers and k is a dimensionless constant, find the values of x, y and z.

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.