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- 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.”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. What is the density of a 240-g rock 89.0 cm3 of water? (Note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on Archimedes' principle.)The average density of the Sun is on the order 103kg/m3 . (a) Estimate the diameter of the Sun. (b) Given that the Sun subtends at an angle of about half a degree in the sky, estimate its distance from Earth.
- A rectangular gasoline tank bold 30.0 kg of gasoline when full. What is the depth of the tank if is 0.500-m wide by 0.900-m long? (b) Discuss whether gas tank has a reasonable volume for a passenger car.A certain hydraulic system is designed to exert a force 100 times as large as the put into it. (a) What must be the ratio of the area of the cylinder that is being controlled to area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which input force moves? Assume no losses due to friction.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.
- 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)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?(D) The density of alumınum is 2.70 alam. Recal that density is mass divided bu uolume.lwhat is the mass of a cube m that is B.104cm on a Side in SI units. ot aluminur Express your answer
- wwife pevity T00ml sample of blood has a mass of 53.2 g a)Caleulate the density of the blood. W Calculate the specifie gravity of the blood. AnswerDetermine Density of object of mass 560 kg which accupies space of 8 m³.(a) A rectangular gasoline tank can hold 50.0 kg of gasoline when full. What is the depth of the tank if it is 0.500-m wide by 0.900-m long? (b) Discuss whether this gas tank has a reasonable volume for a passenger car.