Problem

This problem gives some idea of the magnitude of …

01:37

Problem 57 Hard Difficulty

Assume one-fourth of the yield of a typical $320-\mathrm{kT}$ strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV.
(a) Calculate the number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be $238 .$
(b) Find the number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be $5 .$
(c) Considering the masses found, does it seem reasonable that some missiles could carry 10 warheads? Discuss, noting that the nuclear fuel is only a part of the mass of a warhead.

Answer

a.$1.05 \times 10^{25}$; 4.15 $\mathrm{kg}$
b. $3.15 \times 10^{26}$2.6 $\mathrm{kg}$
c. this is quite possible that the missile can carry this fuel.

Related Courses

Physics 103

College Physics for AP® Courses

Chapter 32

Medical Applications of Nuclear Physics

Discussion

You must be signed in to discuss.

Top Physics 103 Educators

Watch More Solved Questions in Chapter 32

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Video Transcript

problem 57 in chapter 32. In this problem, we are goingto calculated the number or feelings. And if you're insane in with Greta Jacob bomb This bomb had the energy or 320 to kill a cop on the 1/4 away to it provided by efficient on the 3/4 of the way it is provided by fury. So, in part of a we calculated the number off visions reacted in this warm 1/4 are with 320 killer town equals 80 killer. Huh? So 80 killer town Eco's 80 times for two upon a two times tend to 12 jewels. And we know that profession provided energy over 200 American Electoral. So the youth, it's number and divided by 200 mega electoral waas. This gives a without off 1.5 times 10 to 25th. This is a number off vision happening in this bomb and we use this number. Tow calculates that the number orm oils. So we do our this Munger, by our God does number, which is fixed going old to two times 10 to 20 years. And the result is 20. It's 17 point of 44 miles. You know that is the average atomic a math in this bomb? Uh, bye. Fueled by fission is to 38 grams of palm oil. So 17 point of 44 miles times to 38 Grandma's apo oil give ah math off 1000 at 100 a 50.7 two grams, which is about the 4.1 five kilo grams in part of baby calculates the number old reaction off vision. So 3/4 a war, 3/4 or 320 kilotons. Eco's 240 killed half and this amongst too here. Ah, we used to for 204 times 4.2 times country Levin's. This amounts to this amount over energy and divided by the energy released up off profusion, which is 29 electoral rolls, and we converted to dross. Which is it? With this number two time? It's the 1.4 times 10 to my nose. Sutton's jewels on. This gives a number also reborn, affecting times 10 toe twenties and a coward leads to more. Also, we did about the body that, by our Guardo's number, together without power 523.1 boils from the problem. We know that atomic amassed average atomic mass age five. So the molar mass is five grams palm oil. So this Ah, this number ohm oils is amongst you use times some together we get a without, uh oh, 2615 point of four grams, which is two upon the four kilograms. So in Paris t it ask us if this is a reasonable map for rocket to carry. Uh, this so this Ah bom e call this luck bomb has in the math over to politics plus 4.16 kilograms of beauties about days 0.7 kilograms. If this is 10 weapon over the of my head Down on my head is 67 kilograms. Hunton, my have equals 670 kilograms. And we know from the website that the hellos mess after all pro Palance used is about 1.3 times 10 to 5 kilograms. So sama has is actually a very small, small powder. Wait, This is a very resonant book. Wait for a new local tok

We have video lessons for 95.57% of the questions in this textbook