Part A If the proton is fired at a speed of 4.8x107 m/s, what is its closest approach to the surface of the nucleus? Assume the nucleus remains at rest. Express your answer to two significant figures and include the appropriate units. da Value Submit Provide Feedback Request Answer - 0 Units ? Next >
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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.)pls helppp, I'll rate if you get the correct answer. NOTE: please put all the answers w/o rounding off, even if the answer is long. Ex. 1234.5678910 NHi. Pls explainn the solution step by step. Where the numbers came from
- Pluto, which is 300 light minutes away? the electron neutrino and that of the muon 2. Suppose that the difference between the square of the mass neutrino is m, – m. a2 and that between muon and tau neutrino is m – m?, = b2. (a) What are the dimensions of a and b? (b) Find the values of mves Myµ and that will minimise the sum mv. + mv,+mvµ. 3. The black body energy spectrum is written as 8th e(f) = 3 exp(hf/kT) – - 1Fr-223 undergoes alpha decay and produced -8.9x100 kJ/mol of energy in the process. Determine the actual mass (in g/mol) of the produced At-219 nucleus. Express your answer in 2 decimal places. Do not write the units. Mass of Fr-223 = 223.020 g/mol; Mass of He-4 = 4.003 g/mol Mass of proton = 1.0078 amu; Mass of neutron = 1.0087 amu Speed of light = 3.00 x 108 m/s 1 amu = 1 g/mol = 1.66 x 10-27 kg 1 MeV = 1.60 x 10 13 JThe rate of decay of the radioactive isotope Free Neutron 239 is given by: M = -1.1 x 10-³M where M is the mass of the isotope in grams and t is time measured in minutes. A sample initially contains 3 grams of the isotope. What is the mass of the isotope present in the sample after 320 minutes? The mass is grams. Round your answer to 3 significant figures, if needed. b) How long does it take for the mass of the isotope in the sample to fall to 1.5 gram? It takes t = minutes. Round your answer to the nearest integer if needed.
- PRE-TEST B. help me answer this atleast haplsslf of itPlease, write a clear full answer and I'll rate up. Directions: Use g = 9.80 m/s2 and assume all numbers are accurate to 3 significantfigures unless otherwise indicated.Find the number of protons and neutron for Po-210. Separate your answer by a comma, indicating the number of protons first before the number of neutrons.
- This was wrong. Can you solve this again with these numbers? What is the root mean square velocity, vrms, for Hydrogen molecules (H2) at 20oC? Hint: How many amu does an H2 molecule contain. 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)Problems A12 1-1. (a) List the SI units of length, mass, time, electric cur- rent, temperature, and amount of substance. Write the abbre- viation for each. Jund juod (b) Write the units and symbols for frequency, force, pres- and power. sure, energy, 1-2. Write the name and number represented by each abbre- viation. For example, for kW you should write kW = kilowatt = 10³ watts. (a) mW (b) pm (c) ΚΩ (d) μC (e) TJ (f) ns (g) fg (h) dpa 163. Express the following quantities with abbreviations for units and prefixes from Tables 1-1 through 1-3: (a) 10-¹3 joules0 + (1)0,HE (b) 4.317 28 x 10-8 coulombs (d) 10-10 meters (e) 2.1 x 10¹3 watts (f) 48.3 x 10-20 moles (c) 2.997 9 x 10¹4 hertz bns M2.01 1-4. Table 1-4 states that 1 horsepower = 745.700 watts. Consider a 100.0-horsepower engine. Express its power output in (a) watts; (b) joules per second; (c) calories per second; (d) calories per hour. 1-5 (a) Refer to Table 1-4 and calculate how many meters are in 1 inch. How many inches are in 1…Solve the eguaho Ns mv Iw- mgh and V using substitution, given that Imr and h= 2.75m ( Note that mass m radius r will both cancel, so their numencal valnes arent - rw for the speed V and reguired) m/s