Magnetism15519.32Since the centripetal acceleration is furnished by the magnetic force acting on the ions, 2mvqvBr=or the radius of the path is mvrqB=. Thus, the distance between the impact points (that is, the difference in the diameters of the paths followed by the Uand the isotopes) is 238235U()238235238235527192223.00 10 mskg238 u235 u1.6610u1.6010C0.600 TvdrrmmqB−−∆=−=−×=−××or 23.1110m3.11 cmd−×=19.33In the perfectly elastic, head-on collision between the -particleαand the initially stationary proton, conservation of momentum requires that mv0ααpp+=while conservation of kinetic energy also requires that ( )orvv00v0 vvv−−=+. Using the fact that 4p=and combining these equations gives ( )4orp=04v++35vv=and ( )03585pvv vv=+=Thus, 0335 3558 8v v===After the collision, each particle follows a circular path in the horizontal plane with the
This is the end of the preview. Sign up
access the rest of the document.