We’ve discussed elevators that are raised with cables, but many elevators use pistons. A pump provides fluid at very high pressure to the piston; the resulting force on the piston raises the elevator and passengers. For a typical piston elevator, the mass of the elevator and passengers is 2000 kg and the radius of the piston is a surprisingly small 4.2 cm. The elevator begins to move upward, accelerating at 0.80 m/s2. What is the pressure in the piston?

Bowling balls are roughly the same size but come in a variety of weights. Given that the official radius a bowling ball should have is roughly 0.110 m, calculate the weight of the heaviest bowling ball that will float in a fluid of density 1.000 x 10° kg/m³. weight: N

Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.670 L, 2.77 g/cm³; 0.356 L, 1.20 g/cm³; and 0.524 L, 0.653 g/cm³. What is the force on the bottom of the container due to these liquids? One liter = 1 L = 1000 cm³. (Ignore the contribution due to the atmosphere.) Number i Units

A lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.4 m long, 2.4 m wide, and 2.9 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface.. When the balloon's radius is 1.3 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³. Number Units

A box has a length of 1.3 cm, a width of 6.4 cm, and a height of 3.2 cm. Its mass is 9.8 kg. The box sits at rest on a horizontal floor.  What is the pressure of the box on the floor?

*17. O A suitcase (mass m = 16 kg) is resting on the floor of an elevator. The part of the suitcase in contact with the floor measures 0.50 m × 0.15 m. The elevator is moving upward with an acceleration of magnitude 1.5 m/s². What pressure (in excess of atmospheric pressure) is applied to the floor beneath the suitcase?

In the illustration below, the car has a mass of 970 kg. The radius of the bigger piston is 1.65 meters while the radius of the smaller piston is 8 cm. What force must be exerted on the smaller piston in order to lift the car? F₁ P₁ B fluid A) 88.98 N 117.57 N 14.25 N D 139.6 N A₂ F₂ tttt None of the given choices. P₂

Black smokers are hot volcanic vents that emit smoke deep into the ocean floor. Many of them teem with exotic creatures, and some biologists think that life on earth may have begun around such vents. The vents range in depth from about 1500 m to 3200 m below the surface. What is the gauge pressure at a 3200-m deep vent, assuming that the density of water does not vary? Express your answer in Pascals and atmospheres.

What is the absolute pressure at the bottom of the swimming pool 1 m high? * 1.11 x 105 Pa O 9.8 x 103 Pa O 9.8 x 105 Pa O 1.013 x 105 Pa

Water flows through a horizontal tapered pipe. At the wide end its speed is 4.00 m/s and at the narrow end it is 5.00 m/s. The pressure in the wide pipe is 2.50x105 Pa. What is the pressure in the narrow pipe? 4.50x10³ Pa O 2.45x105 Pa 8.00x105 Pa O 3.40x10³ Pa O 2.50x10² Pa