Concept explainers
Check Your Understanding Figure 1.4 says the mass of the atmosphere is
How many piano tuners are there in New York City? How many leaves are on that tree? If you are studying photosynthesis or thinking of writing a smartphone app tot piano tuners, then the answers to these questions might be of great interest to you. Otherwise, you probably couldn’t care less what the answers are. However, these are exactly the soils of estimation problems that people in various tech industries have been asking potential employees to evaluate their quantitative reasoning skills. If building physical intuition and evaluating quantitative claims do not seem like sufficient reasons tot you to practice estimation problems, how about the fact that being good at them just might land you a high-paying job?
For practice estimating relative lengths, areas, and volumes, check out this PhET (https://openstaxcollege.org/l/21lengthgame) simulation, titled “Estimation.”
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Check out a sample textbook solutionChapter 1 Solutions
University Physics Volume 1
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- (a) About how many microorganisms are found in the human intestinal tract? (A typical bacterial length scale is one micron = 106 m. Estimate the intestinal volume and assume bacteria occupy one hundredth of it.) (b) Discuss your answer to part (a). Are these bacteria beneficial, dangerous, or neutral? What functions could they serve?arrow_forwardConvert 5 x 1010 Megahertz to bits per second. Giving detailed explanationsarrow_forward(a) There are about 3 × 10 25 molecules of air in each cubic meter of the atmosphere. If each molecule had its own cube of space, what is the length of one side of the cube? (b) How many times greater is the length of a side of the cube than the length of a molecule that is about 3 × 10 -10 m long?arrow_forward
- The population of India can be modeled by the function P(t) = 1462(1 +0.0177) where P(t) measures the population in millions andt represents the number of years since 2000. 1. Using this model, what was the population of India in 2009? 2. Predict the population of India in 2019. 3. If this growth rate continues, in what year will the population of India reach 2 billion people? Hint:arrow_forwardPaperweight I bought a pack of 100 rectangular index cards. Each card measured 15 by 10 cm. The pack said :Paper Density = 200 GSM (grams per square meter). This means that a square meter of those cards weighs 200 g. A) All of the cards in the pack are place flat on a table without overlap. In square meters, what is the total area of the table covered by the cards? B) Each pack of cards is wrapped in a sheet of 50 GSM paper with an area of 800cm squared. I have a number of packs and wish to store them on a shelf that cannot hold more than 10 kg. What is the largest whole number of wrapped packs that can be stored? C) The total weight of 500 identical sheets of paper is 2.4kg. If each sheet measures 30cm by 20cm, what is its paper density in GSM? D) A business card measures 55mm by 90mm. Its paper density is 300 GSM. Fins its exact weight in grams.arrow_forwardDensity Here is a simple problem. Then we'll do one that requires a little more thought. The shape of a city is roughly a circle with a radius of 5 miles. If the population density for the city is 10,000 people per square mile, what is the population of the city? 11111 Now here's a problem that will stretch your problem solving skills. This time the city is also in the shape of a circle, but the population density is higher towards the center of the city and lower towards the outskirts. The numbers in the diagram represent miles. The population density is 10,000 people per square mile in the inner circle. In the first ring out from the center the density is 8,000 people per square mile, the second ring out it's 6,000, in the third ring out it's 4,000 and in the largest ring it's only 2,000 people per square mile. Finally, here is a three dimensional problem. Density is defined as weight per unit of volume. So which weighs more, a ball of zinc with a radius of 3 cm, or a ball of…arrow_forward
- Explorers 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_forwardYou and your pen pal from Mars are comparing to see who is taller. You write to yourfriend that you are 1.7018 m tall. Your pen pal writes back that they are 58.19 orfzagstall. An orfzag is a Martian unit equivalent to exactly 26 glibchoms (another Martianunit). One meter is approximately 936.36 glibchoms. Who is taller? Report bothheights in meters to the appropriate number of significant figures. Show yourreasoning and all work.arrow_forwardA hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.arrow_forward
- Convert the volume (SCF) of natural gas to tons of natural gas. Given: volume of gas is 42,201 standard cubic feet (SCF) at 60°F and 14.7psia. NOTE: this answer will NOT be in metric tons, but English tons. Choose your answer with TWO decimals. O 1.60 10^5 tons O 3.20*10^8 tons O 1.11 tons O 2.78 10^-3 tonsarrow_forwardDEA agents watch drug smugglers load cocaine onto a fishing boat in a Mexican river to transport it down the river to the ocean, and then to Miami. To estimate how much cocaine was loaded, they measure how much further the boat sinks into the water after being loaded. If the boat’s area at the waterline is 50 m2 and it sinks by 2 cm, how much cocaine was loaded?arrow_forwardWe have a very large sheet of extremely thin paper. Assume that the paper is in fact only 0.1mm (0.0039 inches) thick. Imagine that this paper will be folded in half repeatedly, 50 times. Guess how thick the paper will be at the end! Quick metric system converter: 10mm=1cm (about 0.39 inches) 100cm=1meter ( about 3.3 feet) 1000m=1kilometer (about 0.62miles)arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University