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A.
590 N
B.
1590 N
C.
950 N
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- What is the area of a circle 3.102 cm in diameter?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.)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?
- how it arrives with the answer of 1797.510 N or 1.80x10^3 N WITH the values of Q1=10 microcoulombs, Q2 = 8 microcoulombs with the range of 4 cm and 6 cm4,390 minuTES メPE tow MANY CUBIC TEET ARE THEKE IN ARUDM MEAVUKIMG 5m x10my Qm?if a box has a length of 10.0, CM, a width of 20.CM, and a height of 5.00, then what is its volume in m^3
- You, are dniving 17 mi/hr. when a dog rns acnss your path. You lam on your breaks and in 3.5 sece vlon 92 mil/nr. What is s the total distamce tamild dyving decielenotionThe Sun, on average, is 93 million miles from the Earth. How many meters isthis? Express(a) using powers of ten, and (b) using a metric prefix.Any one qwestion ans please
- 6. Convert the following measurements mg.um kg.m а. 68 ms? hr2 b. 49mg/cm³ to ng/mm³ 7. Using Dimensional Analysis, check which of the following equations is or are correct. а. рgh3 — та b. avt = vh?Phe length and breadth of a rectangular sheet are 16.2 'cm and 10.1 cm, respectively. The area of the sheet in appropriate significant figures and error is (a) 164 ±3 cm (b) 163.62 ± 2.6 cm 2 (c) 163.6 + 2.6 cm (d) 163.62 +3 cm?1) If a sphere has a volume of 375.6 cm3, what is its diameter in... sphere a) dm b) feet 2) The mass of a baby's brain increases by an average of approximately 1.6 mg /min.