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Chapter 4 - UCSB HEP

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WORK AND ENERGY<br />

I_ I -1<br />

into a boron nucleus and a neutron. The collision is inelastic, and the<br />

final kinetic energy is less than EO by 2.8 MeV. (1 MeV = 10s eV =<br />

1.6 X 10-la J), The relative masses of the particles are: helium, mass<br />

4; lithium, mass 7; boron, mass 10; neutron, mass I. The reaction can<br />

be sym bollzed<br />

7Li + 4He t I0B + ln - 2.8 MeV.<br />

a. What is EO,thrsahold, the minimum value of Eo for which neutrons<br />

can be produced What is the energy of the neutrons at this threshold<br />

Ans. Neutron energy = 0.15 MeV<br />

6. Show that if the incident energy falls in the range Eo,thremhold <<br />

EO < E o , + 0.27 ~ MeV, ~ the ~ neutrons ~ ~ ejected ~ ~ in the forward direction<br />

do not all have the same energy but must have either one or the<br />

other of two possible energies. (You can understand the origin of the<br />

two groups by looking at the reaction in the center of mass system.)<br />

4.29 A "superball" of mass m bounces back and forth between two surfaces<br />

with speed 00. Gravity is neglected and the collisions are perfectly<br />

elastic.<br />

a. Find the average force F on each wall.<br />

Ans. F = rnvovl<br />

b. If one surface is slowly moved toward the other with speed V

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