A scientist is calculating the density of an ore sample. The scien- tist measures that the ore sample weighs 22.4 N in air. When the sample is suspended by a thin light cord and totally immersed in water, the tension in the cord is 14.2 N. What is the density of the ore sample that the scientist calculates. You can assume that any buoyant force from air is negligible.
Q: Problem 3: A cube with edges of length L = 0.29 m and density p. = 3.9x10 kg/m³ is totally submerged…
A:
Q: A syringe which has an inner diameter of 0.600 mm is attached to a needle with an inner diameter of…
A:
Q: A child fills up a water gun with water from a pool. She holds the gun just completely submerged at…
A:
Q: A spherical weather balloon is filled with hydrogen until its radius is 3.50 m. Its total mass…
A:
Q: A solid aluminum ingot weighs 89N in air. a. What is its volume? (The density of Al is 2.7x103kg/m3…
A:
Q: A platinum sphere with radius 0.0151 m is totally immersed in mercury. Find the weight of the…
A:
Q: Liquid of density 945 kg/m is flowing through a pipe as shown in the diagram below. At point A, the…
A: Answer B) -1.36 X 10^6 Pa
Q: The density of warm air inside a hot air balloon is 0.8 kg/m^3 while the density of the surrounding…
A: a)The required minimum volume is,
Q: You hook a solid metal block of iron (iron density = 7800 kg/m^3 ) which has a volume of…
A:
Q: Water pressure increases as depth increases. At the surface of a swimming pool, where pressure is…
A:
Q: The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of…
A: Part (a) Basic Details The kinetic energy of the water must be equal to the potential energy of the…
Q: A 4.0 g Pin-Pong ball is attached by a thread to the bottom of a beaker. When the beaker is filled…
A: Given that,Mass of ping-pong ball (m) : 4 (g)Tension in the thread (T) : 0.028 (N)Now,a : Here we…
Q: Find the pressure difference on an airplane wing if air flows over the upper surface with a speed of…
A: A Given Speed of the upper surface v1=127m/s Speed of the bottom surface v2=104m/s The density of…
Q: hollow, plastic sphere is held below the surface of a freshwater lake by a cord anchored to the…
A:
Q: Calculate the difference in blood pressure between the feet and top of the head for a person who is…
A:
Q: A metal cube with volume 82 x 10-3 m3 is completely submerged under water and held in equilibrium…
A:
Q: cube with edge length L = 0.28 m and density ρc = 3.2×103 kg/m3 is exactly half submerged in a…
A: According to Archimedes principle Buoyant force = weight of liquid displaced
Q: Fluid A has a density of 3 g/cm3 and Fluid B has a density of 4 g/cm3. Fluid A is in a filled tank…
A:
Q: On October 21, 2001, Ian Ashpole of the United Kingdom achieved a record altitude of 3.35 km (11 000…
A: Given:Altitude = 3.35 kmNumber of balloons = 600Radius of balloon = 0.58 mMass of each balloon =…
Q: (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 33.0 m. Assume…
A: a)Absolute pressure=323400 pa. b)The force exerted by the water is 4.8961×106 N.
Q: A plastic sphere floats in water with 50% of its volume submerged. This same sphere floats in…
A: Given that, volume displaced by plastic sphere in water is 0.5vp…
Q: Four objects are placed in a tank of water. Each object is fully submerged and released from rest.…
A:
Q: vertical cylindrical container contains 5840 gallons of gasoline and is 1.53 m in radius. Due to…
A: (a) Given: The volume of gasoline in the vertical cylinder is 5840 gallons. The radius of the…
Q: A platinum sphere with radius 0.0107 m is totally immersed in mercury. Find the weight of the…
A: Density of an object is given by ρ = mV Volume of a sphere of radius r is given by V = 43π r3 So, m…
Q: A hippo is dozing under water with only its small nostrils sticking out. It has a mass of 2700 kg…
A:
Q: A U-shaped tube with both arms open to the air has a 35.0 cm column of liquid of unknown density in…
A: Given data: The height of the liquid in the right arm is h1=35.0 cm. The figure for the problem…
Q: 1. Three blocks with the equal volume of 100cm³ are are completely submerged in water. The blocks…
A: To calculate: The buoyant force that acts on the lead block. Given: The density of water is…
Q: The mass of a piece of ice is 0.350 kg, density of water = 1.00 × 103 kg/m3, and density of ice =…
A: Given data The mass of the ice is mi = 0.350 kg. The density of water is ρw=1×103 kg/m3. The…
Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…
A: We are allowed to give the explanation of first question only which is given below. Please repost…
Q: It is said that Archimedes discovered his principle during a bath while thinking about how he could…
A: Option (a) is correct as the buoyant force is equal to total weight of water displaced.
Q: Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional…
A:
Q: Submarines adjust their buoyancy, by filling or expelling water from their ballast tanks. The…
A:
Q: Consider a helium balloon with volume 2.25 L. a) Calculate the magnitude of the buoyant force on…
A: Required magnitude of buoyant force. New force on balloon after releasing.
Q: An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back…
A: Given information: Here, A is the otter’s back area and P0 is the atmospheric pressure (standard…
Q: A 4.0 g Pin-Pong ball is attached by a thread to the bottom of a beaker. When the beaker is filled…
A: Given m=4.0g=0.004kg T=0.028N Let's sketch the situation Here ρVg=buoyant force, density of water…
Q: A concrete block with dimensions 0.1 m × 0.2 m × 0.3 m is suspended from a wire and is completely…
A: Dimension of the block is 0.1 m×0.2 m×0.3 m Volume of the block is V = 0.1×0.2×0.3 m3=0.006 m3…
Q: object A B ACA с D volume (cm³) density (g/cm) 5.00 0.80 0.80 40.0 60.0 80.0 40.0 0.80
A: Given: Four objects are placed in a tank of water fully submerged.
Q: 10. A balloon is filled with helium (density = 0.180 kg/m³) to a volume that has a radius of 1.50 m…
A: A balloon filled with helium where the density of the helium gas isto a volume that has a radius of…
Q: Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and…
A:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 10 images
- An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A = 0.55 m2, and you may assume that his back is essentially flat. The gauge pressure of the water at the depth of the otter is P = 14500 Pa. a. Enter an expression for the magnitude of the force F on the back of the otter in terms of the gauge pressure P and the atmospheric pressure P0. b. Solve for the magnitude of the force F, in newtons.Sharks are generally negatively buoyant; the upward buoyant force is less than the weight force. This is one reason sharks tend to swim continuously; water moving past their fins causes a lift force that keeps sharks from sinking. A 92 kg bull shark has a density of 1040 kg/m3.a. What lift force must the shark’s fins provide if the shark is swimming in seawater?b. Bull sharks often swim into freshwater rivers. What lift force is required in a river?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 × 10° kg/m³. 566.9 weight: N Incorrect
- A block of wood of length L = 21.0 cm, width w = 9.53 cm, and height h = 5.92 cm is just barely immersed in water by placing a mass m on the top of the block. The density of the wood is ρ = 0.390 g/cm3. The value of m is A. 0.72 kg B. 1.2 kg C. 1.6 kg D. 7.1 kg E. 0.36 kg please show reasoning, thank you!The traditional method of measuring a person's body‑fat ratio is to weigh them on dry land and then weigh them while submerged in water. The body‑fat ratio can be calculated using the difference in these weight measurements. Unfortunately, this method requires that the person become submerged in water, which is a problem for those suffering from hydrophobia (fear of water). Angel investors give money to companies that they think have highly marketable products or services in exchange for partial ownership of the company. A company has mailed a proposal to investors seeking money to market a new device for measuring a person's body‑fat ratio with no need for the person to get wet. In the company's proposal, the person in the figure is standing on a weight scale in a sealed chamber. Initially, the chamber is maintained at standard atmospheric pressure. However, the pressure is then lowered and the new weight is noted. Derive an expression for the density of the person in terms of his…a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.6 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 30.0 cm? N
- The traditional method of measuring a person's body-fat ratio is to weigh them on dry land and then weigh them while submerged in water. The body-fat ratio can be calculated using the difference in these weight measurements. Unfortunately, this method requires that the person become submerged in water, which is a problem for those suffering from hydrophobia (fear of water). Angel investors give money to companies that they think have highly marketable products or services in exchange for partial ownership of the Owi company. A company has mailed a proposal to investors seeking money to market a new device for measuring a person's body-fat ratio with no need for the person to get wet. In the company's proposal, the person in the figure is standing on a weight scale in a sealed chamber. Initially, the chamber is maintained at standard atmospheric pressure. However, the pressure is then lowered and the new weight is noted. Derive an expression for the density of the person in terms of his…(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 22.4 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 36.0 cm? NThe container as shown is filled with oil. It is open to the atmosphere on the left.a. What is the pressure at point A?b. What is the pressure difference between points A and B? Between points A and C?
- Problem 3: A cube with edges of length L = 0.29 m and density p.= 3.9x10 kg/m is totally submerged in water, with a density of pw = 1.00×103 kg/m, and oil, with a density of p, = 0.84x10° kg/m, as shown in the figure. The cube is submerged in the water to a depth of d = 0.055 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. Po Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? +T T F. F. B M+ Submit I give up! Hint Feedback Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of pe, L, and the acceleration due to gravity, g. Part (c) Calculate the magnitude of the weight of the cube, in newtons Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of pw. Po: L, d, and g. Part (e) Calculate the magnitude of the buoyant force, in newtons. Part (f) Enter an expression for the…A solid aluminum ingot weighs 81.0 N in air. a)What is its volume? b)The ingot is suspended from a rope and totally immersed in water. What is the tension in the rope (the apparent weight of the ingot in water)?A 150-N object of density=870kg/m3 floats in a liquid of density with three-fourths of its volume underneath the surface of the fluid. a) What is the buoyant force on the object? b) What is the total volume of the object? c) What is the density of the fluid?