Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.80 x 105 Pa and the pipe radius is 2.80 cm. At the higher point located at y = 2.50 m, the pressure is 1.29 x 10° Pa and the pipe radius is 1.70 cm. (a) Find the speed of flow in the lower section. m/s (b) Find the speed of flow in the upper section. m/s (c) Find the volume flow rate through the pipe. |m3/s

5. A 15-kg stone slides down a snow-covered hill, leaving point A at a speed of 10 m/s. There is no friction on the hill between points A and B, but there is friction on the level ground at the bottom of the hill, between B and the wall. After entering the rough region, the stone travels 100m and the runs into a very long light spring with force constant 2 N/m. The coefficient of kinetic friction is 0.2. a) How far will the stone compress the spring? b) Another object moving in the xy plane is acted on by a conservative force. The potential energy of the object is described by the formula: U(X.x) = a(x2 + y?) + bxv, where a and b are positive Find the x component of the applied force. Find the y component of the applied force. 20 m 15 m Rough

Water flows through a pipe as shown in the figure. The pressure at points 1 and 2 respectively is 1.80  105 Pa and 1.10  105 Pa. The radius of the pipe at points 1 and 2 respectively is 3.80 cm and 1.40 cm. If the vertical distance between points 1 and 2 is 2.75 m, determine the following. (a) speed of flow at point 1 m/s(b) speed of flow at point 2 m/s(c) volume flow rate of the fluid through the pipe m3/s

Calculate the Reynolds numbers for the flow of water through the following situations. You may assume the flow rate through the hose and nozzle is 0.5 L/s, and the viscosity of water is 1.005×10−3 (N/m2)s. (A) A nozzle with a radius of 0.21 cm. (B) A garden hose with a radius of 0.95 cm.

A liquid of density 1230 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.91 m/s and the pipe diameter d1 is 12.7 cm. At Location 2, the pipe diameter d2 is 16.1 cm. At Location 1, the pipe is Δy=8.75 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ΔP between the fluid pressure at Location 2 and the fluid pressure at Location 1.

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.70 x 105 Pa and the pipe radius is 2.90 cm. At the higher point located at y = 2.50 m, the pressure is 1.27 x 105 Pa and the pipe radius is 1.70 cm. (a) Find the speed of flow in the lower section. m/s (b) Find the speed of flow in the upper section. m/s (c) Find the volume flow rate through the pipe. m³/s

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 ✕ 105 Pa and the pipe radius is 2.60 cm. At the higher point located at y = 2.50 m, the pressure is 1.29 ✕ 105 Pa and the pipe radius is 1.40 cm. a) Find the speed of flow in the lower section. b) Find the speed of flow in the upper section. c) Find the volume flow rate through the pipe.

A container filled with water and there are two holes, as shown in figure below. What is the ratio of x1 to x2? 20 cm 100 am 50 cmB X1 X2 13. Given frictionless flow of water at 125.6 ft'/s in a long, horizontal, conical pipe of diameter 2ft at one end and 6ft at the other. The pressure head at the smaller end is 18ft of water. Find the velocities at two ends and the pressure head at the larger end.

A liquid of density 1170 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.75 m/s and the pipe diameter d1 is 11.7 cm. At Location 2, the pipe diameter d2 is 16.3 cm. At Location 1, the pipe is Δy=8.87 m higher than it is at Location 2. Ignoring viscosity, calculate the difference ΔP between the fluid pressure at Location 2 and the fluid pressure at Location 1.

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.70 x 105 Pa and the pipe radius is 2.60 cm. At the higher point located at y = 2.50 m, the pressure is 1.29 x 105 Pa and the pipe radius is 1.40 cm. P₂ P₁ (a) Find the speed of flow in the lower section. m/s (b) Find the speed of flow in the upper section. m/s (c) Find the volume flow rate through the pipe. m³/s Y la ac