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- 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.)I need help in these questions. Please do them correctly and 100% Please i have only 30 minutes. No need to add lengthy exlanations. Just tell correct answers. Its very important so please tell correct answersWhich one of the following statements must be true if the expressionx-xO = (%)(v - vo)t is to be used? Select one: O a a is constant O b. Both vO and t are constant Oc vis constant O d. xis constant O e tis constant CLEAR MY CHOICE
- 1. The following data are the measurements of the dimensions of a box: l = 8.6 ± 0.5 cm h = 20.19 ± 0.01 mm w = 0.75 ± .02 mHow should the volume of the box be reported (central value ± uncertainty) incm3? Show solution.2. If the accepted value of the volume of the box in the previous question is 1300 cm3, is the measurement acceptable? Explain.Remember for these problems that in calculating the results, l'm using the value of nfound on the PRC. If you round 7 to 3.14 in your calculations there is potential for your answer to be taken out of toler- ance for a solution that uses the correct method. For numeric entry problems, report more digits in your answer than are significant, convert to standard units if necessary, and do not include the unit in the answer field. Bb understands 1.2345 E4 with no spaces and the E capitalized to be 1.2345 x 104 if you choose to enter numbers in scientific notation. Problems 1-3 refer to the following figure. In the above figure, the master cylinder has a circular cross section and a radius of 1.000 m. The slave cylinder has a radius of 24.50 cm. 1) What force must be applied down on the piston of the master cylinder to attain a pressure of 1.600 × 10° Pa in the system? A) 3.01 72x 105 N B) 3.01 74x 105 N C) 3.01 75 x 105 N D) 3.01 76x 10° N E) 5.02 40 × 106 F) 5.02 72 x 10° N G) 5.02 65 ×…Determine the number of sig figs in the following numbers: a) 23,000: b) 4000.00: c) 0.00023040: d) 4.310 x 108. e) 100000.: sig figs sig figs sig figs sig figs sig figs
- Using a measuring tape with atleast count of 0.1 cm , you measure a package you wish to ship and record the length,width,height as 11.2 cm , 7.5cm and 5.4 cm. The sun of the linear dimensions is often used to calculate the shipping rate. Calculate the following values. A). Probable percent error in height. B). Probable percent in width. C). Probable error of the sun of linear dimensions.Calculating the Number of Molecules in a Cubic Meter of GasHow many molecules are in a typical object, such as gas in a tire or water in a glass? This calculation can give us an idea of how large N typically is. Let’s calculate the number of molecules in the air that a typical healthyyoung adult inhales in one breath, with a volume of 500 mL, at standard temperature and pressure (STP), which is defined as 0 ºC and atmospheric pressure. (Our young adult is apparently outside in winter.)StrategyBecause pressure, volume, and temperature are all specified, we can use the ideal gas law, pV = NkB T, to find N1f: A-3)-J+K and B =1-3J +K calculate bhe veetos (ċ) sSo that Ā-B + Ĉsa
- Question Details SerEssen1 1.P.027. [35052 Estimate the number of 1.8 cm radius Ping-Pong balls that would fit into a 10 ft by 11 ft room with a ceiling 8 ft high (without being crushed). ballsA cylindrical rod is 6.21 m long and has a diameter of 1.77 in. Calculate its volume, V, in cubic meters. Useful fact: 1 in. = 25.4 mm. If the volume is V = nx10m. enter the number n below. Do not give us the volume V. Give your answer correct to two decimnal places. n3D Typeyour answer.Please help me with the following and explain making sure the answer is really really correct 100%. I tried all kinds of calculations and it was wrong so I have no idea what's wrong. When I look at similar questions with different numbers it was 0. ... so i guess it has be something similar maybe but pleas make sure your work is correct pls pls ( wrong asnwer--> 1.31g and 1.35e-12)