Solution to HC Verma Problem

“Referring to HC Verma Part 2, chapter 29, Electric field and potential, Q 69 I think that Force is inversely proportional to square of the distance between the charged particles, so acceleration is not constant and hence v*v  =  u*u  + 2*a*s   is not valid in this case. […]

Centre of mass of an accelerated body

“What is the effect on centre of mass of system of particles when it is placed in accelerated train?” Vimal asked
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CERN Large Hadron Collider

Why is the Large Hadron Collider as large as it is?  I heard today that the actual accelerator portion is only 40 Meters long, the rest is (mostly) magnets that steer the particles, so why does the accelerator need to be 17 miles in circumference?  Does making it larger provide any advantages?
(asked Rick)
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