A barber raises his customer's chair by applying a force of 120 N to a hydraulic piston of area 0.01 m². If the chair is attached to a piston of area 0.1 m, how massive a customer can the chair raise? Assume the chair itself has a mass of 7 kg. (a)
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- the plunger and the needle of a hypodermic syringe have areas of 0.5 cm^2 and 0.0006 cm^2, respectively. To inject a vaccine, a nurse pushes the plunger with a force of 5.5 N. What pressure is transmitted into the vaccine?The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. A swimming polar bear climbs onto a piece of floating ice that has a volume of 6.29 m3. (a) What is the weight of the heaviest bear that the ice can support without sinking completely beneath the water? To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 5.42 × 103 kg/m3. (b) What fraction of the specimen’s apparent volume is solid?A certain hydraulic system is designed to exert a force 405 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.
- A fisherman and his buddy climb into a flat-bottomed aluminum fishing boat has a mass of 60 kg and an area of 4.0 m2. When it is launched into the water (density 1,000 kg/m3), the bottom of the boat sinks 0.015m below the surface of the water. If they, along with their gear, have a mass of 300 kg, how much farther (in m) does the boat sink into the water?The L-shaped tank shown in the figure is filled with water and is open at the top. If d = 5.35 m, what is the total force exerted by the water (a) on face A and (b) on face B? 3d (a) Number (b) Number d d 2d i d 2d d B Units Units <A hippo is dozing under water with only its small nostrils sticking out. It has a mass of 3000 kg and a volume of about 2.98 m3 after exhaling. How much force in Newtons does it exert on the ground of the pool (fresh water, density 1g/cm3)?
- If this diver has a mass of 150 kg ( including his diver gear), and a total volume of 0.14 m3 , How much force is provided by the bottom of the swimming pool on which he is sitting?A hippo is dozing under water with only its small nostrils sticking out. It has a mass of 3000 kg and a volume of about 2.99 m3 after exhaling. How much force in Newtons does it exert on the ground of the pool (fresh water, density 1g/cm3)? Suhm Answor Trioc 0/2Two metal blocks are attached by a cable as shown in Figure P10.50 and are floating near the surface of a lake. If the volumes are V1 = 3 m3 and V2 = 1.23 m3 , what is the total buoyant force on the two blocks?