Granite boulders with a minimum mass of 1.50 tonnes are being used to stabilize a beach. What is the minimum volume of a suitably sized stone in cubic meters? If the stones are spherical, what would be the diameter of the stones in cm? (Assume
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Physical Science (12th Edition), Standalone Book
- How many cubic centimeters (cm3) are in one cubic meter (m3)?arrow_forwardA rod extending between x = 0 and x = 14.0 cm has uniform cross-sectional area A = 9.00 cm2. Its density increases steadily between its ends from 2.70 g/cm3 to 19.3 g/cm3. (a) Identify the constants B and C required in the expression = B + Cx to describe the variable density. (b) The mass of the rod is given by m=allmaterialdV=allxAdx=014.0cm(B+Cx)(9.00cm2)dx Carry out the integration to find the mass of the rod.arrow_forwardFigure 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 P1.6arrow_forward
- The consumption of natural gas by a company satisfies the empirical equation V = 1.50t + 0.008 00t2, where V is the volume of gas in millions of cubic feet and t is the time in months. Express this equation in units of cubic feet and seconds. Assume a month is 30.0 days.arrow_forwardOne student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm. Other students measure the thickness with vernier calipers and obtain four different measurements: (a) 4.32 cm 0.01 cm. (b) 4.31 cm 0.01 cm, (c) 4.24 cm 0.01 cm, and (d) 4.43 cm 0.01 cm. Which of these four measurements, if any, agree with that obtained by the first student?arrow_forwardCASE 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.arrow_forward
- Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank is filled in gallons per second. (b) Calculate the rate at which the tank is filled in cubic meters per second. (c) Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate. (1 U.S. gal = 231 in.3)arrow_forwardA 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_forwardA light metal rod has a mass of 0.610 oz/in of rod length. How many meters of rod length are needed to have a mass of 10.9 lbs? Assume that the rod has a constant diameter. Use 1 in = 2.54 cm in your calculations.arrow_forward
- during heavy rain, a section of a mountainside measuring 3.1 km wide horizontally, 1.1 km up along the slope, and 2.3 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring 1.5 km x 1.5 km and that the mass of a cubic meter of mud is 1900 kg. What is the mass of the mud sitting above a 4.6 m2 area of the valley floor?arrow_forwardOne 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_forwardGrains 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?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning