Questions 8-10 The figure shows a pump fitted with a piston and a handle. The pump is connected by tubing to three cylindrical containers. The area of each cylinder is given in terms of A (the area of the pump). The heights of the pump and cylinders are given in terms of y. The pump and all the cylinders are completely filled with oil and contain no air pockets. The handle of the pump is pushed down with a force of F. 24 4A 2y 2y 2 4A 8. What will be the force pushing upward on the top of cylinder 3? Show your work in symbolic form. 9. Explain why the pressure at the top of cylinder 1 will be greater than that at the top of cylinder 3. 10. Which cylinders have the same pressure at the top? Explain.

A garden hose with a diameter of 2.0 cm is used to fill a bucket, which has a volume of 0.10 cubic meters. It takes 1.2 minutes to fill. An adjustable nozzle is attached to the hose to decrease the diameter of the opening, which increases the speed of the water. The hose is held level to the ground at a height of 1.0 meters and the diameter is decreased until a flower bed 3.0 meters away is reached. (a) What is the volume flow rate of the through the nozzle when the diameter 2.0 cm? (b) What does is the speed of coming out of the hose? (c) What does the speed of the water coming out of the hose need to be to reach the flower bed 3.0 meters away? (d) What is be diameter of nozzle needed to reach be flower bed?

A rock with a mass of 540 g in air is found to have an apparent mass of 342 g when submerged in water. (a) What mass of water is displaced? (b) What is the volume of the rock? (c) What is its average density? Is this consistent with the value for granite?

A host pours the remnants of several of wine into a jug a party. The host then inserts a cork with a 2.00-cm diameter into the bottle, placing it in direct contact with the wine. The host is amazed when the host pounds the cork into place and the bottom of the jug (with a 14.0-cm diameter) breaks away. Calculate the extra force exerted against the bottom if he pounded the cork with a 120-N force.