A block of iron is suspended from one end of an equal-arm balance by a thin wire. To balance the scales, 4.45 kg are needed on the scale pan at the other end. The density of iron is 7.87×10^3 kg/m^3 and the density of water is 9.98×10^2 kg/m^3. What is the volume of the block (in m^3)? Next, a beaker of water is placed so that the iron block, suspended as above, is submerged in the beaker but not touching the bottom. What mass (in kg) is now necessary to balance the scales?

Q: A solid cylinder (radius = 17.0 cm, height = 14.0 cm) has a mass of 10.80 kg. This cylinder is…

A: Given : Mass of solid cylinder (M) = 10.8 kg Radius of solid cylinder (r) = 17 cm = 0.17 m Height of…

Q: A solid block is attached to a spring scale. When the block is suspended in air, the scale reads…

A: Weight of block in air = 20 N Weight of block in water = 17.3 N

Q: A large tree trunk is floating in the sea. The density of the sea water is 1010 kg/m3 the density of…

A: Solution:-Given thatDensity of sea water (ρs)=1010 kg/m3density of trunk (ρt)=795 kg/m3

Q: Icebergs have an average density of 920 kg/m3. Seawater has an average density of 1030 kg/m3. An…

A:

Q: You press a piston of cross-sectional area a = 2.0 cm2 to exert a force on an enclosed fluid. A…

A: in this question we use pascal's principle.

Q: Cork has a density of 240 kg/m³. Glycerin has a density of 1,260 kg/m³. If a cork is floating in a…

A:

Q: Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional…

A: Area A1 = 10.6cm2Area A2 = 5.50cm2Mass = 400gram

Q: A hydraulic system has two pistons of different diameter and uses a liquid of density p=1260 kg/m3.…

A: pressure on side of smaller piston = F1/A1 = (1.3*9.8)/π(0.01)2  = 40552.68 Pascalspressure on side…

Q: block of wood floats in glycerin with 4/7 of its volume below the surgace. What is the density of…

A:

Q: A block of wood has a mass of 3.94 kg and a density of 671 kg/m3. It is to be loaded with lead (1.13…

A: The mass of the block of wood is mwood = 3.94 kg. The density of the block of wood is ρwood=671…

Q: A solid wooden sphere has its radius of 25.0 cm and it is immersed in mercury only 15.0% of volume…

A:

Q: A 10 kg loggerhead sea turtle has a lung volume of 1 L and a body volume of 9.5 L (lungs empty) or…

A: Mass of water body is Density of water is Lung volume is Body volume with empty lungs is Body volume…

Q: Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional…

A:

Q: Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional…

A: Given: Area A1=10.6 cm2           Area A2 =4.90 cm2           amount of  water poured in right arm m…

Q: The gravitational force exerted on a solid object is 29 N. When the object is suspended from a…

A:

Q: Mercury is poured into a U-tube as shown in Figure P9.10a. The left arm of the tube has…

A:

Q: A block of density 1230.0 kg/m3 floats in an unknown fluid with one-third of its volume below the…

A:

Q: A wooden barrel full of water has a flat circular top of radius 25.0 cm with a small hole in it. A…

A: Given, r=0.319cm l=8m d=1 x 103 kg/m3

Q: You come across an open container that is filled with two liquids. Since the two liquids have…

A:

Q: What is the minimum weight (in lbs) a bowling ball with diameter of 8.5 inches would need to have in…

A: For any object to sink  density of body ≥density of water extreme case :(just start to sink  density…

Q: Three balls with the same radius 14 cm are in water. Ball 1 floats, with half of it exposed above…

A: The objective of this question is to find the tension on the ropes holding the second and third…

Q: A cube with density 850 kg/m^3 floats in salt water of density 1030 kg/m^3. One side of the cube has…

A: Given data: The density of the wood is ρ=850 kg/m3 The density of saltwater is ρw=1030 kg/m3 The…

Q: An underwater salvage company wants to use a spherical balloon to float a 1000 kg cannon from an old…

A:

Q: Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional…

A:

Q: The weight of a rectangular block of low-density material is 15.5 N. With a thin string, the center…

A:

Q: A block of wood has a mass of 3.89 kg and a density of 635 kg/m³. It is to be loaded with lead (1.13…

A:

Q: A uniform plastic block floats in water with 30.0 %% of its volume above the surface of the water.…

A:

Q: In the figure, the fresh water behind a reservoir dam has depth D = 15.5 m. A horizontal pipe 5.62…

A: The given data are: D=15.5 mdp=5.62 cm=5.62×10-2 md=5.24 m

Q: A 2.8 kg rock whose density is 4800 kg/m^3 is suspended by a string such that half of the rock's…

A:

Q: 2. Water is poured into a U-tube as shown in the figure. The left arm of the tube has…

A:

Q: A supertanker has a mass of 2.0 × 106 kg and carries oil of mass 4.0 × 106 kg. When empty, 9.0 m of…

A: When supertanker is empty. Let A be the area of the supertanker. Here, h is the height of the…

Q: A block of iron is suspended from one end of an equal-arm balance by a thin wire. To balance the…

A: The expression for find volume of the iron block is V=mρiron Insert values in the above equation…

Q: Problem 4: Water flows through a water hose at a rate of Q1 = 660 cm/s, the diameter of the hose is…

A: Solution:-Given thatQ1=660 cm3/sd1=2.13 cmV2=11.6 m/s

Q: Astronauts visiting a new planet find a lake filled with an unknown liquid. They have with them a…

A: The objective of the question is to find the depth at which the pressure in the lake will be twice…

Q: A plastic ball floats in gasoline. The weight of the ball is 40.0 N, and its volume is 10.0 L (that…

A:

Q: A huge block of wood is floating on seawater, with 60 percent of its total volume completely…

A:

Q: The two arms of a U-tube are not identical, one having 6 times the diameter of the other. A cork in…

A: The main concept behind such questions is that the pressure everywhere will be the same or we can…

Q: A partially filled bucket of water sits on a scale and it’s weight is 3.8 N. A piece of metal is…

A: The buoyant force here is FB=6.8N-3.8N=3.0N

Q: A stone is suspended by a mass-less string. When it is in air, the tension in the string is 45.8 N.…

A: Tension in string when it was, air =45.8 N Tension in string when it was, water= 32.6 N Tension in…

Q: A cubic block of steel that measures 12. cm on a side is suspended in a saltwater bath by a vertical…

A:

Q: A spherical balloon has a radius of 7.15 mm and is filled with helium. How large a cargo can it…

A: Note-Density of air is, Density of helium is,

Q: A wooden block of volume 5.24 x 10^(-4) m^3 floats in water, and a small steel object of mass m is…

A: Given:- A wooden lock of volume V = 5.24 x 10-4 m3 floats in water. a small steel object of mass m…

Q: An empty rubber balloon has a mass of 12.5 g. The balloon is filled with helium at a density of…

A: Mass of empty balloon (M)=12.5 g Density of helium (ρHe)=0.181 kg/m3 Radius of the balloon (R)=0.268…

Q: U-shaped tube, open to air on both ends, contains oil. Water is poured into the left arm until the…

A: Given: Height of water,hW=10cm=10×10-2mDensity of oil,ρO=801kg/m3Denisty of…

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.