You, are dnving 117 mi/hr. when a dog runs acos your path. You ilam on your breaks and in 3.5 sec vlow to: :92 mil/nr. What is ys the total distamce traile during decielenotion
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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.)Check Your Understanding Light navels about 9 Pm in a year. Given that a year is about 3107s , what is the speed of light in meters per second?The speed of sound is measured to be 342 m/s on a certain day. What is this measurement in kilometers per hour?
- When nonmetric units we used in the United Kingdom, a unit of mass called the pound-mass (lbm) was used, where 1 lbm = 0.4539 kg. (a) If there is an uncertainty of 0.0001 kg in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of 1 kg when converted to kilograms?har An acre, a un it af land mearurement still in wide ure, a length 4 one furlong ( /s mi) and a width onz- tenth in square mile ? of its leng th. (a) How many acres are (6) Ho w many square feet are in an acre ? (c) An acre- foot is the volume of water that would cover 1 acre of flat tand to a depth f 1 foot. Ho w many gallms art 1 acre- foot?4,390 minuTES メPE tow MANY CUBIC TEET ARE THEKE IN ARUDM MEAVUKIMG 5m x10my Qm?
- Angalar speed is the rate at which Hne central ange is čhanging. Suppose a blayce wheel mo modfes 30 revolutiang in f seconds. a) Waite an functon of time b) Woite an equaten a 8 with diameter 700 equation for the anglor speed, V, as a for the anquar speat V as increased by I second. functen of time ti if f C Cambine naur funchians to write a SMPIIED equaticon for Hhe change time increases by I second. anguar speed whesA miner in the underground tunnel walks 9 m due East, 90 m due South and 119 m due West. What was the total distance covered by the miner? Select one. Oa no answer Ob 218 m Oc 142.126/m Od mcomplete given.we know that Im is approximately 39.37 ine We also lknow the following exact conversion equivalents: I mile =528oft, 1ft= 12in, 1hour=60 min, and I min=60s, Assume aparticle has a . velogity %3D of 6.2 miles per hour. Finl its velocity in m/s to at least two digits of ac uracy
- Qutomobile deer travellg nathegt 41-6 Km/h otices that icd 1.87 An nostheast at the be Comng from the noth dxines southeast at 4skm Jh comry appents. When he foom 60° wind appeas to South f west. Find coming be selocity fa the wind telatine to theA marathon runner averages 9.0 mi/h. How long does it take them to run a 26.76-mi marathon in hours? Hint h. Entor an integer or decimal number, with exactly 2 significant figures [more..] The time it takes to complete the marathon is |IBM has a computer it calls the Blue Gene/L thatcan do 136.8 teracalculations per second. How many calculationscan it do in a nanosecond?