Concept explainers
(a)
The average density of the Earth.
(a)
Answer to Problem 1P
The average density of the Earth is
Explanation of Solution
The average mass of the Earth is
Write the formula to calculate the average density of the Earth
Here,
Write the formula to calculate the average volume of the Earth
Here,
Substitute
Substitute
Conclusion:
Therefore, the average density of the Earth is
(b)
The position of the density of Earth fit among those listed in Table 14.1 and compare the density of surface rocks like granite to the density of Earth.
(b)
Answer to Problem 1P
The average density of Earth lies in between the densities of aluminum and iron and the average density of granite is less than the density of the Earth.
Explanation of Solution
The average density of the Earth is
Granite is a type rock that is mostly found on the surface of the earth. Since the value
Conclusion:
Therefore, the average density of Earth lies in between the densities of aluminum and tin and the average density of granite type rocks is less than the average density of the Earth.
Want to see more full solutions like this?
Chapter 1 Solutions
Physics:f/sci.+engrs.,ap Ed.
- For each of the following scenarios, refer to Figure 1.4 and Table 1.2 to determine which metric prefix on the meter is most appropriate for each of the following scenarios. (a) You want to tabulate the mean distance from the Sun for each planet in the solar system. (b) You want to compare the sizes of some common viruses to design a mechanical filter capable of blocking the pathogenic ones. (c) You want to list the diameters of all the elements on the periodic table. (d) You want to list the distances to all the stars that have now received any radio broadcasts sent from Earth 10 years ago. 1.2 Units and Standardsarrow_forwardHow many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of 8 000 m? Take He = 0.179 kg/m3. Assume the balloon maintains a constant volume and the density of air decreases with the altitude z according to the expression air = 0ez/8, where z is in meters and 0 = 1.20 kg/m3 is the density of air at sea level.arrow_forwardThe average life expectancy in Japan is 81 years. What is this time in SI units?arrow_forward
- One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?arrow_forwardOne cm3 of gold is 19.32 g. What is the density (ratio of mass to volume) of gold inkg per m3 ? I know the answer is 19.32x10^3 but can someone tell me the steps to get there?arrow_forwardYou wish to calculate the average density of a substance, based on five density measurements. The density values are: 2.810 g/cm³, 2.78 g/cm3, 2.80 g/cm³, 2.9 g/cm³, and 2.83 g/cm3. How should you report the average density of the substance?arrow_forward
- A snowman is made from three spheres of packed snow stacked on one another. Assume each sphere has a uniform volumetric mass density that is three quarters that of water. The volumetric mass density of water is ?????? = 1 (?/??). The bottom sphere has a radius of 50 cm. The middle sphere has a radius of 35 cm. The top sphere has a radius of 20 cm. The formula for the volume of a sphere is ???ℎ??? = (4/3)??^3. How far above the ground is the center of mass of the snowman?arrow_forwardThe density of water Is known to be 0.9998395 g/cm. During experimentation, you determine the density of water to be 1.0220 g/cm³. ASK YOUR TEACHER Using the correct % error/difference/change formula, (you are not being told which % formula to use - you must decide which one is correct for this situation) calculate the answer to the correct number of significant figures. The formulas are: percent change, percent difference, percent error. O 22.164057% O 22.1641% O 0.222% O 22.164057% O 22.2% O 22.165% MacBook Air 226 esc FI 23 24 Q W IT Y G K く V command option option command つ つ エ のarrow_forwardWhat is the density of substance A if 21.6 cm³ of A has a mass of 414.1 g? (answer to the nearest whole number) Your Answer:arrow_forward
- You are a team leader at a pharmaceutical company. Several technicians are preparing samples, and you want to compare the densities of the samples (density = mass/volume) by using the mass and volume values they have reported. Unfortunately, you did not specify what units to use. The technicians used a variety of units in reporting their values, as shown in the following table. Sample ID Mass Volume A 8.00 g 1.67 × 10–6 m³ 9.38 x 106um³ 6.00µg 8.00mg 9.00 × 10-4 kg 2.81 × 10³ mm³ 9.00 x 104ng 6.00 x 10-2mg 1.25 × 10 µm³ В C 2.50 x 10¬3 cm³ 3 E 1.41 x 10-2 mm3 3 F List the sample IDs in order of increasing density of the sample.arrow_forwardQuestion 11 One cube is made of uranium and has side length 57.0 cm and one cube is made of an unknown substance with side length 39.0 cm. The mass of the uranium cube is 1.83 times larger than the mass of the unknown cube. The density of uranium is 19 g/cm³: what is the density of unknown cube? NOTE: Please enter your answer with three significant figures. Do not use scientific notation. Do not enter units (but your answer must be in g/cm3). Your Answer:arrow_forwardExplorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown in the figure below. The monument is made from tens of thousands of small stone blocks of density3 633kg/m3. The monument is16.7m high and68.5m wide at its base and is everywhere3.70m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. How much work did laborers do on the blocks to put them in position while building the entire monument?Note: The gravitational potential energy of an object-Earth system is given byUg=MgyCM, whereMis the total mass of the object andyCMis the elevation of its center of mass above the chosen reference level.Jarrow_forward
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University