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in 2004 physicists at the Stanford Linear Accelerator Center (SLAC) in Californi

ID: 2279165 • Letter: I

Question

in 2004 physicists at the Stanford Linear Accelerator Center (SLAC) in California fired electrons toward eachotehr at very high speeds so that they came within 1.0 * 10 ^-15 m of eachother (approximately the diamerter of a proton)


a. what was the electrical force on each electron at closest approach


b. would this force be large enough to move you?


c. How much energy did it take to et the electrons that close together?


d. Ignoring relativistic effects, how fast most the electrons have been traveling initally, when far from eachother, to get that close?


e. Do you notice anything suspicious about your answer?

Explanation / Answer

a.

F = 9*10^9*(1.6*10^-19)^2/10^-30

= 230.4 N

b)

yes

c) E = 9*10^9*(1.6*10^-19)^2/10^-15

= 2.304*10^-13 J

d) 2*1/2*m*v^2 = 2.304*10^-13

v = sqrt(2.304*10^-13/(9.1*10^-31))

= 5.0*10^8 m/s

e) yes, it is larger then speed of light