A cube (1m x 1m x 1m; volume = 1 m3; density = ρ kg/m3) is floating as shown. The density of oil is 800 kg/m3 and the density of water is 1000 kg/m3. Assume that the magnitude of the acceleration due to gravity, g, is 9.8 m/s2 and that Patm = 1.013x105 N/m2. a) Using the figure on the left, calculate the density of the cube, ρ. b) Use the figure on the right. The top face of a cube (same dimensions – 1m x1m x 1m) is now 0.5 m below the oil-air interface. If the values of ho and hw are the same as in part a, what is the density of this cube. Show all steps in your calculations.

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: Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the…

A: Please see the answer below.

Q: To keep the calculations simple, but still reasonable, we shall model a human leg that is 100.0 cm…

A:

Q: Pr3. There are three cylindrical vases on the table, none of them is taller than 40 cm. The first…

A: a). Water should fill a vase to about 3/4 of its height. Change the water at least every two days.…

Q: Plot Volume on the 'X' axis and Mass on the 'Y' axis and fit a linear equation to the data. From the…

A: Mass (kg)Volume(m^3)Density…

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: You are handed a bat that is 6 times as dense on one side as it is on the other side, and 3 times as…

A: Given that:The bat is 6 times as dense as other side. The bad is 3 times as dense as least dense…

Q: (a) As the milk fills the bowl, the milk level reaches a point where the diameter of the bowl is  d1…

A:

Q: Vector A⃗  points in the negative y direction and has a magnitude of 5 units. Vector B⃗  has twice…

A: The expression for the vector representation of (A+B):

Q: Plot Volume on the 'X' axis and Mass on the 'Y' axis and fit a linear equation to the data. From the…

A: Since, Density=ρ=MasssVolume , we just need to plot the Mass vs. Volume and find the slope of the…

Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

A:

Q: An empty Erlenmeyer flask weighs 219.2 g. When filled with water, the flask and its contents weigh…

A: Given value--- mass of empty flask = 219.2 g. mass of flask with water = 685.2 g. density of water…

Q: Data Table Mass Direction Part 1 55g 8ng Eng 8ng 0° 110° 80° 2500 R Part 2 Mass Direction Part 3 X…

A:

Q: Blood is flowing through an artery of radius 1.97 mm at a rate of 3.69 cm/s. Determine the blood…

A: Given Data: Radius (r) = 1.97 mm = 0.197 cm.Speed (v) = 3.69 cm/s. To Determine: The blood flow…

Q: The acceleration due to gravity for Earth is inversely proportional to the square of the distance…

A:

Q: Part C Show that the force of gravity times the height, mgh, is equal to mv?. Be sure to show that…

A:

Q: One cubic meter (1.00 m) of aluminum has a mass of 2.70 × 10 kg, and the same volume of iron has a…

A: Given: The volume of the aluminum rod is 1 m3. The density of aluminum is 2.7x103 kg/m3. The density…

Q: The unit of Quantity A is s, and the unit of quantity B is m/s^ 2 quantity C is defined as C = B/A…

A: Let A, B, and C denote three quantities. Unit of A is s and unit of B is m/s2.

Q: The leaves of a tree lose water to the atmosphere via the process of transpiration. A particular…

A: In this case, the total volume flow rate is mentioned. And the water is replenished by the upward…

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: A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides,…

A:

Q: In physics and mechanics, mass distribution is the spatial distribution of mass within a solid body.…

A: Linear Mass Density: Represents how mass is distributed along a one-dimensional object. In this…

Q: A tank containing a liquid has a small hole in the bottom through which it escapes. The velocity u…

A:

Q: You have been given a small rock sample to identify based on its density. Suppose that you use the…

A: Density is a mass of unit volume.  It is the ratio of mass and volume It is measured in kg/m3

Q: In the diagram below there is a thick-walled cylindrical tube. Its height is H 5.0 m, its inner…

A: a)

Q: You have been given a small rock sample to identify based on its density. Suppose that you use the…

A:

Q: a) Estimate the radius and volume of the platinum atom, using the metal density of 21.45 g/cm³.…

A: metal density of platinum = 21.45 g/cm3Mass of platinum atom = 195 amu = 195×1.67×10-24 g = 3.2565…

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.