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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.)(a) A person's blood pressure is measured to be 1202 mm Hg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?Needs Complete typed solution with 100 % accuracy. Plxx otherwise skip if you can't give complete solution. I vll upvote you if you give me complete solution. Thank you.
- III. Use Excel to calculate the slopes of the trendline of the data in each of the following tables. T describe if the relationship of the variables is directly proportional, inversely proportional, or we correlated. 8. Angle (degrees) Length (cm) 60 1.1 120 1.2 180 1.1 240 1.2 300 1.1 9. Radius (m) No. of People Radius (m) No. of People 5 10 1 1 6 15 3 7 16 3 6 8 18 4 7 20 2.‘Twa trade size 3 raceways enter a box directly across from each other. No other raceways enter the box. What are the minimum dimensions of the box? 1. Length 2.wich 3.08pth4.0 m/s 3.0 kg A 3.0 kg cart is moving at a speed of 4.0 m/s to the right across a frictionless table, as shown above. It collides with a second cart of an unknown mass m that is initially at rest. The magnitude of the force F of the collision as a function of time t is shown in the graph below, wheret = 0 is the instant of initial contact. As a result of the collision, the second cart acquires a speed of 1.6 m/s to the right. Assume that friction is negligible before, during, and after the collision. 10 Force (N) 1.0 2.0
- Needs Complete typed solution with 100 % accuracy otherwise skip if you can't give complete solution i vill definitely upvote you for complete solution.Cand has ACress A specimen of silcon is o-2mm Long and has ucress ressed acrosS find is 1300 cm?/v. Sec 1- Concentra ten of Free elect rons. 3- Drift velocity.earning tal Courses Reports e-Services Academic Departm Zinc The area of a small rectangle is 418 mm. Express this area in the S.l. unit. O a. 0.000418 square meter O b. 41.80 square meter O c. 0.00418 square meter O d. 4.18 square meter Nor rone that is.connected to the top of the building, it is
- 5. Solve the following a) Use the following min terms to make the 3-input truth table Σ0246 b) Write the SOP expression for the truth table developed in 4a c) Find the max terms for the truth table in 4a d) Write POS expression for the truth table in 4aQ5. 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 .Needs Complete typed solution with 100 % accuracy. Otherwise skip if you can't give complete solution. I vll upvote you if you give Complete solution. Thank you.