The given figure shows a metal ball weighing T = W = 9.5 × 10-2 N in air. When the ball is immersed in water of density pw = 10³ kg/m³, it is found that it has an apparent weight Tw= Ww=7.0 × 10-2N. Find the density of the metal.

The given figure shows a metal ball weighing T = W = 9.5 × 10-2 N in air. When the ball is immersed in water of density pw = 10³ kg/m³, it is found that it has an apparent weight Tw= Ww=7.0 × 10-2N. Find the density of the metal.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 23P: A table-tennis ball has a diameter of 3.80 cm and average density of 0.084 0 g/cm3. What force is...

See similar textbooks

Related questions

Q: The difference in pressure, AP, between two points that are separated by a vertical distance of y in…

Q: A hollow plastic sphere whose volume is 0.350 cm^3 was put below the surface of a fresh-water lake…

A: Given: Volume of hollow plastic sphere below the surface of a fresh-water lake, V= 0.350 m3 (not…

Q: A person is diving in a lake in the depth of h = 13.5 m. The density of the water is ρ = 1.0 x103…

A: Given depth of the lake h = 13.5 m. The density of the water is ρ = 1.0 x103 kg/m3. The pressure…

Q: A solid cube of side length 10.9 cm is suspended on light string. When the cube is totally immersed…

Q: Suppose that a solid cube of some material floats motionless on the surface of an oil puddle at a…

A: According to Archimedes principle Buoyant force = weight of liquid displaced

Q: A hollow aluminum sphere of mass m = 0.950 kg floats in water with its volume entirely submerged…

A: Given data The mass of the sphere is m = 0.950 kg. The density of aluminium is given as ρ = 2.70 x…

Q: What force is required (Fapp ) to hold it completely submerged under water? Q(1): A table-tennis…

Q: QUESTION 5 A piece of wood floats in water(p =100okg/m3)with 3/4 of its volume submerged. What is…

A: The given data are: ρ=1000 kg/m3Vw=34V here, ρ denotes the water density, Vw denotes the volume of…

Q: The given figure shows a metal ball weighing T = W = 9.5 × 10−2 N in air. When the ball is immersed…

Q: An object weighs 7.84 N when it is in air and 6.86 N when it is immersed in water of density 1000…

Q: To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and…

A: Given Density of the solid part of the specimen = 6.44 × 103 kg/m3 Density of water = 1×103 kg/m3…

Q: A stone having a mass density of 4,000 kg/m³ has a mass of 220.0 kg. When submerged in water it will…

Q: A rock is suspended from a scale reads 20.0 N. A beaker of water (having a density of 1000 kg/m3)…

Q: Early barometers contained wine instead of mercury. On a day when the height h of the liquid in the…

A: The height of mercury h=750 mm=0.750 m Density of mercury ρm=13600 kg/m3 The pressure corresponds to…

Q: "A board that is 20.0 cm wide, 5.00 cm thick, and 3.00 m long has a density 350 kg/m3. The board is…

Q: A rock, which weighs 1400 N in air, has an apparent weight of 900 N when submerged in fresh water…

A: Answer Given Weight of rock in air Wa = 1400 N Weight of rock when submerged in fresh water Wfw =…

Q: A hollow plastic sphere whose volume is 0.350 cm^3 was put below the surface of a fresh-water lake…

A: According to Archimedes principle Buoyant force = weight of liquid displaced

Q: A body weighs 10.2 N in air and 8.4 N when fully immersed in water. The buoyant force acting on the…

Q: A rock, which weighs 1400 N in air, has an apparent weight of 90O N when submerged in fresh water…

Q: A 3.0 kg solid sphere, made of metal whose density is 2100 kg/m, is suspended by a cord. The density…

A: Draw the free body diagram of the metal sphere.

Q: Siven an open tank that contains different layers of fluid. Hoil Hw Hhg P(atm)= 101000 Pa…

A: Absolute pressure(Pabs). given,

Q: A rock, which weighs 1400 N in air, has an apparent weight of 90O N when submerged in fresh water…

A: Given data: Weight in air (W) = 1400 N Apparent Weight (Wapp) = 900 N Density of fresh water (ρ) =…

Q: A solid cube of side length 11.8 cm is suspended on light string. When the cube is totally immersed…

Q: Given an open tank that contains different layers of fluid. Hoil Hw Hhg Determine the Absolute…

A: We know that the pressure increases as we move into the liquid

Q: A rock with density 1200 kg/m3 is suspended from the lower end of a light string. When the rock is…

A: Given: The density of rock is ρ=1200 kg/m3. The tension in the string is T=28 N. The density of…

Q: A circular cylinder of height 1.20 m having faces of diameter 0.620 m is immersed in water of…

Q: A solid cube of side length 10.5 cm is suspended on light string. When the cube is totally immersed…

Q: A ball with a diameter of 10.0 cm is submerged in water. The buoyant force of the water on the ball…

Q: A uniform pencil floats with 8 cm of its length immersed in water. What length is immersed when it…

A: Let lw denote the length of the pencil immersed in water. Let A be the cross-sectional area of the…

Q: Poopy has a gold bar that weighs 64.4 [N]. He then suspended the gold bar by a light cord. When the…

A: Given :- Poopy has a gold bar that weighs 64.4 [N]. The density of the water ρwater = 1.00 ×10^3…

Q: To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and…

Q: A rock, which weighs 1400 N in air, has an apparent weight of 900N when submerged in fresh water…

A: weight of rock in air = 1400 N apparent weight when submerged in water = 900 N density of fresh…

Q: 71.3 N O 70.3 N O A solid aluminum ball (density= 2700 kg/m³) is suspended in air from a scale,…

Q: A block of wood has a mass of 3.61 kg and a density of 592 kg/m³. It is to be loaded with lead (1.13…

Q: Water (density = 1.0 x 103 kg/m³) flows through a horizontal tapered pipe. At the wide end its speed…

Q: The difference in pressure, ΔP, between two points that are separated by a vertical distance of y in…

A: In this question we have to find the pressure difference between the two points in a liquid As we…

Q: A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 4 × 10–3 m3. If the density…

A: Given volume V = 4 × 10–3 m3 Density of air ρ = 1.29 kg/m3 We have to find out buoyant force…

Q: 12. You threw a box full of your ex's things with dimensions of 0.15 [m] × 0.25 (m] x 0.30 [m]. It…

Q: A solid aluminum ball (density= 2700 kg/m³) is suspended in air from a scale, which reads 13.06 N.…

A: Given : ρ = 2700 kg/m3 F1 = 13.06 N F2 = 8.706 N

Q: To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and…

A: The volume of the solid part is given by, Vsolid=Mρsolid Here, M is the mass and ρsolid is the…

Q: A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 5.5 × 10–3 m3. If the…

A: Given: Density of helium, ρHe = 0.2 kg/m3 Volume, V= 5.5 × 10–3 m3 Density of air, ρair = 1.3…

Q: Determine the buoyant force of a copper cube (Pcopper = 8.96 kg/m³) of side 0.15 cm submerged into…

Q: A Ping-Pong ball has a diameter of 3.80 cm and an average density of 0.084 g/cm³. What force is…

A: Given: The diameter of the ball is 3.8 cm. The density of the water is 0.084 g/cm3.

Q: A submarine is stranded on the bottom of the ocean with its hatch 21.0 m below the surface.…

A: Given Density of sea water ρ = 1.03×103 kg/m3 Depth of ship h = 21 m gravitational acceleration g =…

Q: A fluid passes through the tube with a mass flow rate of 1.50 kg/s. If the tube's diameter narrows…

A: Given: Mass flow rate = 1.5 kg/s.

Q: A solid aluminum ball (density= 2700 kg/m³) is suspended in air from a scale, which reads 13.06 N.…

A: Given data Density of aluminium ball is ρ=2700 kg/m3 Acceleration due to gravity is g=9.80 m/s2…

Q: A body has a weight of 160 N when weighed in air and a weight of 120N when totally immersed in a…

Q: A spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass…

Question

1. The given figure shows a metal ball weighing T = W = 9.5 × 10-² N in air.
When the ball is immersed in water of density pw = 10³ kg/m³, it is found
that it has an apparent weight Tw = Ww= 7.0 × 10-² N. Find the density of
the metal.
Tw
Water
Tw
FB
T
W
W

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The gravitational force exerted on a solid object is 5.00 N. When the object is suspended from a spring scale and submerged in water, the scale reads 3.50 N (Fig. P15.24). Find the density of the object. Figure P15.24 Problems 24 and 25.
A U-tube open at both ends is partially filled with water (Fig. P15.67a). Oil having a density 750 kg/m3 is then poured into the right arm and forms a column L = 5.00 cm high (Fig. P15.67b). (a) Determine the difference h in the heights of the two liquid surfaces. (b) The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Fig. P15.67c). Determine the speed of the air being blown across the left arm. Take the density of air as constant at 1.20 kg/m3.
A 1.00-kg beaker containing 2.00 kg of oil (density = 916 kg/m3) rests on a scale. A 2.00-kg block of iron is suspended from a spring scale and is completely submerged in the oil (Fig. P9.31). Find the equilibrium readings of both scales. Figure P9.31
Oil having a density of 930 kg/m3 floats on water. A rectangular block of wood 4.00 cm high and with a density of 960 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block?
A 1.00-kg beaker containing 2.00 kg of oil (density = 916.0 kg/m3) rests on a scale. A 2.00-kg block of iron suspended from a spring scale is completely submerged in the oil as shown in Figure P15.63. Determine the equilibrium readings of both scales. Figure P15.63 Problems 63 and 64.
A beaker of mass mb containing oil of mass mo and density o rests on a scale. A block of iron of mass mFe suspended from a spring scale is completely submerged in the oil as shown in Figure P15.63. Determine the equilibrium readings of both scales. Figure P15.63 Problems 63 and 64.
A large storage tank with an open top is filled to a height h0. The tank is punctured at a height h above the bottom of the tank (Fig. P15.39). Find an expression for how far from the tank the exiting stream lands. Figure P15.39
A 1.00-kg beaker containing 2.00 kg of oil (density = 916 kg/m3) rests on a scale. A 2.00-kg block of iron is suspended from a spring scale and is completely submerged in the oil (Fig. P9.31). Find the equilibrium readings of both scales. Figure P9.31
A table-tennis ball has a diameter of 3.80 cm and average density of 0.084 0 g/cm3. What force is required to hold it completely submerged under water?
A hot-air balloon consists of a basket banging beneath a large envelope filled with hot air. A topical hot-air balloon has a total mass of 545 kg. including passengers in its basket, and holds 2.55 103 m3 of hot air in its envelope. If the ambient air density is 1.25 kg/m3, determine the density of hot air inside the envelope when the balloon is neutrally buoyant. Neglect the volume of air displaced by the basket and | passengers.
A 10.0-kg block of metal measuring 12.0 cm by 10.0 cm by 10.0 cm is suspended from a scale and immersed in water as shown in Figure P15.24b. The 12.0-cm dimension is vertical, and the top of the block is 5.00 cm below the surface of the water. (a) What are the magnitudes of the forces acting on the top and on the bottom of the block due to the surrounding water? (b) What is the reading of the spring scale? (c) Show that the buoyant force equals the difference between the forces at the top and bottom of the block.
A man has a mass of 80 kg and a density of 955kg/m3 (excluding the air in his lungs). (a) Calculate his volume. (b) Find the buoyant force air exerts on him. (c) What the ratio of the buoyant force to his weight?