A seller offered a piece of metal with dimensions 5.0mm x 5.0mm x 30.0mm and a mass of 0.0158 kg. The seller tells you that the metal is gold. To check if is true, you compute the density of the piece of metal where the density of gold is 19,300 kg/m3. Were you cheated? Justify your answer.

Q: If a liquid is contained in a tank, pressure at the bottom of a tank is given by: p= pgh, where p is…

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Q: An auditorium measures 35.0 m x 25.0 m x 11.0 m. The density of air is 1.20 kg/m3. (a) What is the…

A: Dimensions of auditorium, 35.0 m x 25.0 m x 11.0 mThe density of air is 1.20 kg/m³

Q: Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius).…

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Q: You have an 18-carat gold coin (an alloy of gold and copper). Its mass is 6 grams. Using the fact…

A: Given: Mass of gold coin =6 grams Density of pure gold =19300 kg /m3 Density of copper =8960 kg /m3

Q: An auditorium measures 40.0 m x 20.0 m x 12 m. The density of air is ρ =1.20 kg/m3       (a)…

A: The objective of the question is to calculate the volume of the auditorium in cubic feet and the…

Q: A large chunk of metal has a mass of 135 kg, and its volume is measured to be 0.05 m3. (a) Find the…

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Q: radius of lead and aluminum spheres

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Q: The atmospheric pressure P(x) (measured in inches of mercury) at height x miles above sea level…

A: Given: The atmospheric pressure (P(x)) above the sea level satisfies the differential equation…

Q: The apron you wear during dental X-rays is lead-lined and so very heavy. What is the mass of a lead…

A: Step 1:The dimension of the brick is given as,Length, l=20 cm=20×10−2 mWidth, b=5.7 cm=5.7×10−2…

Q: A ring at a pawn shop is labeled “gold”. The ring has a mass of 4.4 g and a volume of 0.55 cm³. Is…

A: Given : Mass of ring = 4.4 g Volume of ring = 0.55 cm3 Density of pure Gold = 19.3 g/ cm³

Q: An artifact is dug out of the ground on a Greek Island and the archeologists want to determine the…

A: Given : Measure of three sides of artifact is Side 1, S1 = 1.2mm = 0.0012m Side 2, S2 = 2.7mm =…

Q: You need to measure the density of a rectangular-shaped metal block (density=mass/volume). You…

A: Given:Mass,m=132gDensity,ρ=3.401g/cm3Volume,V=38.81cm3Now,Volume of a rectangular metal block,   V =…

Q: What is the density of substance A if 21.6 cm³ of A has a mass of 414.1 g? (answer to the nearest…

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Q: How many cubic meters of helium are required to lift a light balloon with a 370-kg payload to a…

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Q: Ocean water has a density of 1.03 g/cm3. On a particular day, the atmospheric pressure at the…

A: You need to dive of : h = 4.06 mExplanation:Approach to solving the question:Detailed…

Q: What is the density (in g/cm3)

A: Given data: The  mass of rock is: mr = 260 g The volume of fluid displaced is: Vf = 75 cm3 The…

Q: A particular gasoline tank can hold 52 kg of gasoline when full. What is the depth, in meters, of…

A: Given value--- mass = 52 kg. density = 0.68 × 103 kg/m3 . length = 0.95 m. breath = 0.45 m. We…

Q: An iron casting containing a number of cavities weighs 6200 N in air and 3970 N in water. What is…

A: The total volume of the cavities in the casting is 0.147 m3.

Q: Alloys of gold are rated in karats, a dimensionless unit that is used to indicate the proportion of…

A: Given data:  Density of gold (ρ) = 19.3×103 kg/m3 Weight (W) = 1.83 N Required: The volume (V)

Q: Neutron stars are some of the densest objects in the universe. They form during supernova ex-…

A: Given:-  The Density of the Neutron is 5 x 1017 kg/m3 The mass of the earth  is M = 5.97 x 1024 kg…

Q: The cruise ship Odyssey of the Seas has the following dimensions: 347.1 meters long, 41.1 meters…

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Q: An accomplished silversmith needs an extremely thin sheet of silver. If he starts with a 8.90-kg…

A: Given data, Mass m=8.9 kg Thickness T=5×10-7 m Density ρ=10.1×103 kg/m3

Q: (a) Assuming that water has a density of exactly 1 g/cm³, find the mass of 1.60 cubic meters of…

A: Solution:- 1) The density, of a material is defined as       density(ρ) = mass/ Volume i.e.…

Q: Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and…

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Q: A solid rubber ball has a radius of 18 centimeters. What is its volume in m3? V = m3 %3D Hard rubber…

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Q: A cylindrical storage tank has a radius of 1.06 m. When filled to a height of 3.80 m, it holds 12800…

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Q: An iron casting containing a number of cavities weighs 6.32E+3N in air and 4.01E+3 N in water. What…

A: The total volume of all the cavities in the casting is 0.1536137 m³

Q: A cylindrical storage tank has a radius of 1.16 m. When filled to a height of 3.24 m, it holds 12500…

A: In this question we are given that a cylindrical storage tank has a radius of 1.16 m. When filled to…

Q: Estimate the average blood pressure in a person’s foot if the foot is 1.32 m below the aorta, where…

A: Height, h = 1.32 mDensity, ρ = 1060 kg/m³Blood pressure (initial),, h = 1.32 mBlood pressure at h, P…

Q: Object A has 5.3 times the mass and 1.1 times the volume of object B. If the density of object B is…

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Q: TRUE OR FALSE. A lead cube has a greater volume than a steel cube if both have the same mass.…

A: We know, Density=MassVolume                      d=mV or, V=md For same mass the volume depends on…

Q: What volume does 110 g of mercury occupy.  Please express your answer in units of m3.  The density…

A: Given data The mass of mercury is m=110 g The density of the mercury is ρ=13600 kg/m3   The density…

Q: An aluminum cylinder, with a mass of 51.5 grams, a diameter of 2.52 cm, and a height of 3.75 cm, and…

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Q: A cylinder has a mass of 80.0 g when empty and105.0 g when filled with water. The density of water…

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Q: Starting with an atmospheric pressure of 101,325 Pa, express the magnitude of the pressure in the…

A: A Pascal (Pa) is the SI-derived unit of pressure, stress, Young’s modulus, and ultimate tensile…

Q: An empty food can has a mass of 64.87 grams. You fill it with 13.38mL of juice. The total mass of…

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Q: Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and…

A: Given that Mass of the Neutron star M = 4.7 × 1028 kg Radius of the Neutron star R = 1.4 × 103 m…

Q: Raw milk is stored at a dairy farm in a refrigerated cylindrical vat 6.50 feet wide and 12.5 feet…

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Q: Physicians use a machine called a spirometer to measure the maximum amount of air a person can…

A: In this question we are given that physicians use a machine called a spirometer to measure the…

Q: One of the concrete pillars that supports a house is 2.0 m tall and has a radius of 0.36 m. The…

A: Given data:  Height (h) = 2.0 m Radius (r) = 0.36 m Density (ρ) = 2.2×103 kg/m3 1 N = 0.2248 lb…

Q: You are help to educate a patient on the ramifications of a partial arterial blockage you have…

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Q: Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and…

A: The density is defined as the ratio of mass and the volume of the object.  Its SI unit is kg/m3.

Q: Let Pa represent the density of aluminum and Pf that of iron. Find an expression of the radius (ra…

A: Write the expression for the volume. Write the expression for the mass.