A piston of cross-sectional area a is used in a hydraulic press to exert a small force of magnitude f on the enclosed liquid. A connecting pipe leads to a larger piston of cross-sectional area A (the figure). If the piston diameters are 2.95 cm and 59.4 cm, what force magnitude on the small piston will balance a 33.6 kN force on the large piston? A

9. A fountain shoots water 8 m straight up. a. What is the pressure at the point where the water exits the pipe at ground level and when it reaches it maximum height of 8 m? b. How fast must the water be moving when it exits the pipe at ground level?

E5. In a hydraulic system, a force of 400 N is exerted on a pis- ton with an area of 0.001 m². The load-bearing piston in the system has an area of 0.2 m². a. What is the pressure in the hydraulic fluid? b. What is the magnitude of the force exerted on the load- bearing piston by the hydraulic fluid?

You can chew through very tough objects with your incisors because they exert a large force on the small area equal to that of a pointed tooth. a. What pressure, in pascals, can you create by exerting a force of 520 N with your tooth on an area of 0.95 mm2?

The hoist supports the 115-kg engine. A)Determine magnitude of the force the load creates in member FB, which contains the hydraulic cylinder H. B)Determine magnitude of the force the load creates in member BD.

The density of a typical hippo’s body is 1030 kg/m3, so it will sink in fresh water. What is the buoyant force on a submerged 1500 kg hippo?A. 14,000 N                     B. 14,300 NC. 14,600 N                     D. 14,900 N

The mattress of a water bed is 3.00m long by 0.03cm wide and 0.3m deep. A. Find the weight of the water in the mattress. B. Find the pressure exerted by the water on the floor when the bed rests in its normal position. Assume that the entire lower surface of the bed makes contaxt with the floor. C. What is the water bed is replaced by a 300lb ordinary bed that is supported by four legs? Each leg has a circular cross section of radius 2.00cm. what pressure does this bed exert on the floor?

M7

You find an antique car jack like the one shown in the figure at an estate sale. After cleaning it up, you establish that the amount of friction is negligible and that the input and output pistons have a diameter of 0.30 in. and 1.9 in., respectively. Determine the force F needed to support a 1000-lb load at the output piston. 24.9 × Does the oil in the hydraulic system of the jack obey Pascal's Law? How is the pressure provided by the oil at the output piston related to the pressure applied to the oil at the input piston? Can you write an expression for the input and/or output force in terms of the input and/or output pressure and the appropriate area? Notice that the construction of the jack makes the point where the jack handle is attached to the jack base a convenient pivot point about which to determine the torques. lb 1000 lb 3.0 in. 12 in.- input piston output piston

The 78 kg student in the figure balances a 1000 kg elephant on a hydraulic lift.   a) What is the diameter of the piston the student is standing on? I got 0.56 m   b) When a second student joins the first, the height difference between the liquid levels in the right and left pistons is 30 cm . What is the second student's mass?