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 partially filled bucket of water sits on a scale and its weight is 3.5 N.  A piece of metal is…

A: Given data *The given weight is W = 3.5 N *The scale reads is W1 = 5.5 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: We have an object that has some volume. You put it in pure water and it floats! 66% of the object’s…

A: When an object that has some volume floats on the water by getting submerged to a certain…

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 fluid-filled chamber has a piston has with a surface a cross-sectional area of 8.00 cm2 on one…

A:

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

A:

Q: A piece of wood with density of 706 kg/m³ is tied to the bottom of a pool. The volume of the wood is…

A: in this question we calculate  water displaced wieght by wood.

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: 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: Figure (a) below shows a U-shaped tube containing an amount of mercury. The left arm of the tube has…

A:

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: bottom. Take density of oil = 900 kg/m3. 3m 60

A: Answer the following question is

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

A: Given, weight of the block in air Wa = 21.2 N   weight of the block in water Ww = 18.2 N     Volume…

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: When a cube-shaped object with a mass of 235 kg is supported fully underwater by a lifting cable,…

A: Given:mass of the object, m = 235 kgtension in the cable, T = 617 Ndensity of water, ρ = 1000…

Q: lock of wood has a mass of 3.97 kg and a density of 611 kg/m. is to b x10 kg/m. (0) What mass of…

A: Given values:- Mass of the wooden block,(mb)=3.97 kg ----(1) The density of wooden block,(ρb)=611…

Q: ball with a volume of 0.64 m is floating on the surface of a pool of water. (The density of water is…

A:

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: A cube of wood having an edge dimension of 18.3 cm and a density of 653 kg/m3 floats on water.…

A:

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

A:

Q: The blue whale is the largest animal known to have ever existed (see the photo). It can be almost 30…

A:

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 force of 295 N is applied to a hydraulic jack piston that is 0.026 m in diameter. The second…

A: GivenF1 = 295 Nd1 = 0.026 md2 = 0.19 m

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 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 diving sphere has a mass of 2.05x10^5 kg and an external diameter of 12.0 meters. the sphere…

A: mass of sphere (m) = 205000 kg diameter (d) = 12 m Radius (R) = 6 m volume = 4π3×R3= 4.188×(6)3 =…

Q: A sphere of density P, = 600 is held by a cable onto the bottom of a pool. The m pool is filled with…

A: density of sphere (d) = 600 kgm3Volume of sphere = 2 m3Tension in cable (T) = 4000 N (acting…

Q: A wooden block of volume 5.26 x 10-4 m³ floats in water, and a small steel object of mass m is…

A: In given question, the system of wooden block and steel object is in equilibrium in water, that…

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.