A particular water pipe has a radius of 0.28 meters. If the pipe is completely filled with water, moving with average velocity 0.45 m/s, what is the flow rate of water through the pipe with units of cubic meters of water per second?

Water is flowing through a horizontal pipe with two segments. In one segment, the water flows at a speed v1 = 4.52 m/s. In the second segment the speed of the water is v2 = 2.38 m/s. Based on Bernoulli's Principle, what is the difference in pressure (P2 - P1) between the two segments? Assume that the density of the water is 997 kg/m3 and give your answer as the number of Pascals (i.e. N/m2).

Water from the faucet is supplied to the hose at a rate of 0.00057 m3/s.  At what speed (number of meters per second) does the water exit the nozzle if the cross sectional area of the narrow nozzle is 2.1 x 10-6 m2?

Jason Fruits/Indiana University Research Communications Silver/ silver oxide Zinc zinc/oxide

Car P moves to the west with constant speed v0 along a straight road. Car Q starts from rest at instant 1, and moves to the west with increasing speed. At instant 5, car Q has speed w0 relative to the road (w0 < v0). Instants 1-5 are separated by equal time intervals. At instant 3, cars P and Q are adjacent to one another (i.e., they have the same position). In the reference frame o f the road, at instant 3 i s the speed o f car Q greater than, less than, or equal to the speed of car P? Explain.

Car P moves to the west with constant speed v0 along a straight road. Car Q starts from rest at instant 1, and moves to the west with increasing speed. At instant 5, car Q has speed w0 relative to the road (w0 < v0). Instants 1-5 are separated by equal time intervals.

Car P moves to the west with constant speed v0 along a straight road. Car Q starts from rest at instant 1, and moves to the west with increasing speed. At instant 5, car Q has speed w0 relative to the road (w0 < v0). Instants 1-5 are separated by equal time intervals. Sketch and label a vector diagram illustrating the Galilean transformation of velocities that relates velocity of car P relative to the road, velocity of car Q relative to road, and velocity of car Q relative to car P at instant 3. In the frame of car P, at instant 3 is car Q moving to the west, moving to the east, or at rest? Explain.

Just 5 and 6 don't mind 7

In an electron gun, electrons are accelerated through a region with an electric field of magnitude 1.5 × 104 N/C for a distance of 2.5 cm. If the electrons start from rest, how fast are they moving after traversing the gun?