dia me terwas used by gardemors to fill30 liter tank.A2.50 CmhoseIt +akes1 minutefill the tank with water. Then the garde ner shouldtospraythe water withof0.500 square centine ter , connected toa hoseanaveand injected into the sky horlzontalyFind the velocity of the water at the nozzle tip ?go 10 m/s")Answer nust have units

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Answered: dia me te r used by gardeners to fill…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 15P: Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank...

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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.”
The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)
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)
Q5. Suppose that in vereniere rzulere measurament, Length is 4-32 cm, omd the stamdared is o. 085 cm. the meon deviation othere hand, On the in Screew gauge measurce ment, the mean readius is o.621 cm and the standared the deviation is o. 000 725 Calculate cm . volume (using przo pogation of erercore in reulere and ercrcoe reelation) fore Verrniere Scrrew gauge measurements .
dV An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. To estimate the rate (in cubic feet per minute) at which the oil is leaking from the tanker, it was found that the radius of the slick was increasing at 0.31 foot dt dR dV per minute (- = 0.31) when the radius R was 400 feet. Find using T 3.14. dt dt Tanker A=TR? V=0.1A R dV ft3 /min dt (Type an integer or a decimal. Round to the nearest whole number as needed.)
Assume it takes 7.00 minutes to fill a 30.0-gal gasolinetank. (a) Calculate the rate at which the tank is filled in gallonsper second. (b) Calculate the rate at which the tank is filledin 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)
For the circurit below, the saturation Cyrrents of Di ond Dz ore Isi= 2A, Is2= 101A. The Culent I=4mA. Find Vo , I Di rond IDz I= 4MA VD
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 in3) Show complete step-by-step process and solution.
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.
Express the units of O O O ms-1 ms-2 ms2 kg ms kg Previs gD Ap where g is gravitational acceleration (ms), fis Coriolis parameter (s), 42 is depth change, pis density (kg m) and Ay is a meridional distance change. of Ay Next
Ź. Determine +he dimensions inthe mut system for (a) the product of mass times velaciity, b) the prodenct of force H'mes volume .(C) the pressure divided bythe volu me and d) Klnetic eneryy d ivided area,
Thex Component of a Vctor is 5.0 M/S and The Vctor is dreeted eo° above kr Coordinale (Polir ange or the tretor is tago) the vietor and os y Component Find The hragninte

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