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- A commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm = 0.454 kg. What is the density of water in pound-mass per cubic foot?The flow of blood through a 2.00106 m -radius capillary is 3.80109cm3/s . (a) What is the speed of be blood now? (b) Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 90.0 cm3/s?Check Your Understanding Figure 1.4 says the mass of the atmosphere is 1019kg . Assuming the density of the atmosphere is 1kg/m3 , estimate the height of Earth’s atmosphere. Do you think your answer is an underestimate or an overestimate? Explain why. 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.”
- 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)Suppose you have a coffee with a circular cross-section and vertical sides (uniform radius). What is its inside radius if it holds 375 g of coffee filled to a depth of 7.50 cm? Assume coffee has the same density as water.A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder filled with water. What is the density in grams per cubic centimeter , of a 230 -g rock that displaces 88 cm^3 of water ?
- To determine the accuracy of measuring 100ml of water with a graduated a student weighed the empty graduated cylinder (10.00g) and the graduated cylinder with the water (109.00g). Given the water’s density is 1g/ml, what is the percent error of the water measured with the graduated cylinder?Using the value of 1.29 gcm^3as silk density, calculate a fiber equivalent diameter in μm if such fiber linear density was 0.99 den.If the density (mass divided by volume) of the wall material is the same as that of pure water, what is the mass (in mgmg) of the cell wall, assuming the cell to be spherical and the wall to be a very thin spherical shell?
- Assume it takes 6.00 minutes to fill a 45.0-gal gasoline tank. (1 U.S. gal = 231 in.3)Calculate the rate at which the tank is filled in cubic meters per second.Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate.The density of ordinary air is 1.19 g/L. What is the mass, in kilograms, of the airin a room that measures 14.5 ft x 16.5 ft x 8.0 ft?(Hint: Density is defined as d= m/v, so you need to find the volume of the roomand solve for the mass in the density equation. Make sure you do the appropriateconversions to carry out your operations. Use the correct number of significantfigures to express your answer).A certain power plant uses fuel with heating value of 34,000 kJ/kg. What is the density of the fuel (gram per cubic meter) at 573 R?