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- The arc length formula says the length sof arc subtended by angle in a circle of radius r is given by the equation s=r . What are the dimensions of (a) s, (b) r , and (c) ?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 40N eletric cotes drerha a Cabrbs) astrughisteing elementin45 minutes? Hint is talute the curen)
- Please all qwetion ansCV)- A A Consider two neudee its ond ai Yais 2. whese i is d pstive integer no. A corodling to seai-emberical mas farhmela fox binding Gerzy, achy ? Justify folmula which one has larger binhng Youz Ans? 土An in faite square Wiell of width L. cated albelhd xzo i's V() 4 At t=o Partick expats in stn with wave fng (1-4 17 7. oslent. बळे पृछ निए यि . i)• Find Value of mo tmah zaton Conatent in weve fon. Exblain Physcical mean cna of euela tion Ku Use whn namelization Coradi ton 2 il>Find Arnbab iltg duity of bastch at t-o and etate baition at which it take max valluez üi). Fnd exh ectation uelne of be tion fir this bantick at Cmplementing Compate Ans with bast ic)- and explacn why these doe di Hos, ts EN) Find hobabifty of finding bat fele to Le in gre! atte tn Exhlein poentico off worve fn that dde de quided for ony erention that You Uk?
- Plz don't use chat gpt or ai i vill dislike u Needs Complete typed solution with complete explanation and 100 % accuracy. I vill upvote you....15cm Cempry toro id) is 88mm?, ond 1800 turns with carrent of 16A 1 A forgid with radius A. section areU cross Zird tell insid taroid. a. parcuingtetie mutarial of nogreti suçreptibility O.ol He mutorial ste torsid filed with muteriol g meghetic 0.0- of Fird megnetizut, lizution ot Zird de parcentlge Aas the megnetie z._jel clonged ofter fill he toroid with poramagaesil. muterial)t big diop of ladie Ru faumed 220om 1000 deehlele of wali The radius of e deoplet aell be @JOR 6 O oo t00
- grdeperdent w. of a partile of a The nowingm 4x 4 ip polential maRe mou le a Condat expE ちく $ind the % * the lan plem energ ofPlease help with my physics hw. (See attached images)A particle bertorms linear s-H.M. along path :t 20 cm long- The barticle star= fram a distonce of 2 cm from mean $osition moves towords the besithve extremity- Find its ebech Ļ phace of moFon when the displacenmnent is S com.