Earth, the densest planet in the solar system, has a mass of 5.98 x 1024 kg and a volume of 1.08 x 1021 m3. The density of Earth is: (a) 1.81 x 10-4 kg/m3 (b) 5.54 x 10-3 kg/m3 (c) 5.54 x 103 kg/m3 (d) 6.46 x 1045 kg/m3

Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 r1)2]1/2, (b) 2(r1 + r2), and (c) h(r12 + r1r2 + r22)/3 with the quantity it describes: (d) the total circumference of the flat circular faces, (e) the volume, or (f) the area of the curved surface. Figure P1.6

CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth representative on the interplanetary commission for unit conversions and find that 1 kg = 0.23 bloobits and 1 m = 1.41 bots. Express the density of a raisin (2 103 kg/m3) in Betatron units.

Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

Grains of fine California beach sand are approximately spheres with an average radius of 50 μm and are made of silicon dioxide, which has a density of 2.5 × 103 kg/m3. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.2 m on an edge?

Iron has a density of 7.87 g/cm3, and the mass of an iron atom is 9.27 * 10-26 kg. If the atoms are spherical and tightly packed, (a) what is the volume of an iron atom and (b) what is the distance between the centers of adjacent atoms?

Grains of fine California beach sand are approximately spheres with an average radius of 50 m and are made of silicon dioxide, which has a density of 2600 kg/m3.What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.00 m on an edge?

The cube of iron and the cube of brick have the same dimensions. Each cube has sides of length l = 10 cm.  What is the volume of each cube?   The density of iron is ρFe= 7.87 g/cm3.  Calculate the mass of the iron cube using the definition of density: ρ = m/V.                     Hence, mFe = 7.78+1000= 7830 gram The density of brick is ρbr= 1.92 g/cm3.  Calculate the mass of the brick cube using the definition of density: ρ = m/V.  Show your calculation.                   Hence, mFe = 1.92 X 1000 = 1920 gram The water and the oil are both in beakers which have a 3-liter capacity. Each of the major tick marks on the beaker is 1 liter, and each minor tick mark is 0.2 liters.  Examine the beakers and determine the volume (in ml) of each liquid. 1 mL= 1 cm^3 = 1cc3 lt = 3x1000 mL= 1000 x 3cm^3= 3000 cc Because the thermometer has no scale, we’ll have to calibrate the thermometer.  Assume the experiment occurs at a (room) temperature of 77 oF. water reaches the boiling point, T=…

The radius of Jupiter is about 69.0 × 103 km. The radius of the Sun is about 70.0 × 104 km. How many Jupiter volumes would fit inside the Sun's volume?