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Answered: A A. Consider two neudhe postive…

A A. Consider two neudhe postive integer no. AcGoroling to Sobmula for binding Gebzys which one has larger binding serpyg ? Js toly where C is d seaienperical mols Youd Ans ?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 61AP: (a) How many seconds are there in a year? (b) If one micrometeorite (a sphere with a diameter on the...

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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.)
b): The patcutal 0.21 partile a abag the X-aris is Ulx)=822x" is Where Joules meters.2Iher is Dill be and the at Xelom, in in That acelention,
Unginal number. A.) 149,600,000 B. 0.000000028 2 Move the decimal point to the right or the left to make the number between 1 and 10. Count the number of decimal places moved and note the direction. A. 1.49600000 = 8 places to the left B. 00000002.8 = 8 places to the right 3Rewrite the number deleting all extra zeros to the right or to the left of the decimal point.
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 whes
Ex. 4) Solve the equation d ih dt \b(t) а(t) b(t) wo Wi cos wt W1 coS wt -wo
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(a) How many seconds are there in a year? (b) If one micrometeorite (a sphere with a diameter on the order of 106 m) struck each square meter of the Moon each second, estimate the number of years it would take to cover the Moon with micrometeorites to a depth of one meter. (Hint: Consider a cubic box, 1 m on aside, on the Moon, and find how long it would take to fill the box.)
What is the largest dimension of which you have personal knowledge? Have you run a mile? Hiked 10 miles? Run a marathon?
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A car is traveling at a speed of 33 m/s. (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h speed limit?
A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?