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- A 2.8 kg rock whose density is 4800 kg/m^3 is suspended by a string such that half of the rock's volume is under water. What is the tension in the string?A stone was hung from a light rope. When the stones are in the air,the rope tension is 39.2 N. When the rock is completely submerged in water, it stressesthe rope is 28.4 N. When the rock is completely submerged in a certain liquid,the tension in the rope is 21.5 N. What is the density of the rock and liquid?a) What volume must a (450 kg) cube have in order to float in water?b) Suppose now that the cube from part (a) has 1/3 of the volume needed to float (so it sinks into the ocean). What is the total force on the sides of the cube at a depth of (260 m) below the ocean surface? (Cubes have 6 equal-area sides)
- A hollow, plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.620 m3 and the tension in the cord is 2120 N. Calculate the buoyant force exerted by the water on the sphere. What is the mass of the sphere? The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?What is the Buoyancy force exerted on a 100kg iron anchor when it is immersed in seawater? The density of iron is 7.8×10° kg/m and that of seawater is 1.03 x 103 kg/m3Given: Consider an iron anchor, with density 7.8 × 103 kg/m3. What fraction of the iron anchor’s weight will be supported by the buoyant force when submerged in saltwater, with density 1025 kg/m3?
- A block of wood, whose volume is V = 0.050 m3, is attached to the bottom of a lake by means of a rope and it is completely immersed in the water. The block has a density of 0.75 × 103kg/m3 (while water has a density of 1.0 × 103kg/m3). a) Compute the buoyant force and the weight acting on the block. b) What is the tension in the rope? c) If we cut the rope, the block will start accelerating towards the surface. Calculate its accel- eration.q23 The Thomson Reservoir is the biggest of Melbourne's fresh-water storages. What is the increase in water pressure (in kPa), compared to what it was at the water surface, as a diver descends down to a depth of 64.0 m? density of water = 1000 kg/m3 Patm = 101.3 kPa Enter the numerical value of your answer to the correct number of significant figures.A juniper-wood plank measuring 0.28 ft by 1 ft by 17 ft is totally submerged in water. (a) What is its weight? Ib (b) What is the buoyant force acting on it? Ib (c) What is the size and the direction of the net force on it? Size Ib direction ---Select--- v
- A 1.00-kg beaker containing 1.63 kg of oil (density = 916 kg/m3) rests on a scale. A 1.94-kg block of iron is suspended from a spring scale and is completely submerged in the oil (see figure below). Find the equilibrium readings of both scales. top scale N bottom scale NA steel beam is suspended completely under water by a cable that is attached to one end of the beam, so it hangs vertically. Another identical beam is also suspended completely under water, but by a cable that is attached to the center of the beam, so it hangs horizontally. Which beam, if either, experiences the greater buoyant force? Neglect any change in water density with depth. O The beam that hangs vertically experiences the greater buoyant force. O The beam that hangs horizontally experiences the greater buoyant force. O They experience the same buoyant force.A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.700 m3 and the tension in the cord is 830 N . a)Calculate the buoyant force exerted by the water on the sphere. b)What is the mass of the sphere? c)The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged? vsub/vobj