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In the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain reaction. Neptunium-237 has a density of 19.5 g/cm$^3$. What would be the radius of a sphere of this material that has a critical mass?

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$9.0 \mathrm{cm}$

Physics 101 Mechanics

Chapter 1

Units, Physical Quantities, and Vectors

Section 3

Standards and Units

Physics Basics

University of Washington

Simon Fraser University

McMaster University

Lectures

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In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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In the fall of 2002, scien…

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Neptunium. In the fall of …

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Critical mass of neptunium…

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Plutonium has a density of…

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Using $2.30 \times 10^{17}…

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The radius of a uranium- 2…

Now we know that the mass of the Neptune ium to thirty seven is sixty seven sixty kilograms. I mean no, that the density dean is nineteen point five gram per centimeter cubes. First, let's try to convert this into sa units. We know that one gram is temper minus three kilograms. So we'LL see if she do that. And we know one centimeter is tent are minus two meters on a sentimental cubed orbit and promised to meet her whole cubed. This would mean nineteen point five gram per centimeter cube would be nineteen point five. I divide by ten of our ministry My deployed back in four minus six kilogram. Let me take you which is nineteen point five you didn't borrow minus. I'm sorry. Tend Bar three kilogram for me. Thank you. Now that this isn't sa units, we can proceed to find the volume often a puny, um two thirty seven spear that would have a mass of sixty kilograms. We know that density is masked by volume, which means volume would be mass by density and hands. In this case, mass would be sixty kilograms and density would be nineteen point five into tenth. Our Ministry. I'm sorry, Ken Park History Kilogram for me too. Cute. Now we know that our object is a spear. And still William would be full by three. I cubed. Where are is the radius of the spear? About This is we know sixty divided by nineteen point five did environment is in part three now, By rearranging news, we can see that the radius is cream into safety, divided by four hi into nineteen point five into tend bar cream. Bye. One, two, three. By plugging in the values, you can see that the radius off the spear would be zero point zero nine centimeters meters, which is nine centimeter.

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