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Suppose three protons lie at rest on the x-axis, as shown. The distances separat

ID: 2221183 • Letter: S

Question

Suppose three protons lie at rest on the x-axis, as shown. The distances separating them are r0 = 4.00 pm. (Note: 1 pm = 10-12 m.) Proton q3 is then released and travels away from the other charges (assume to infinity). Recall that e = 1.6E-19 C. http://cs-suse-4.ok.ubc.ca/autoedu/loadFile.jsp?user=bulent&tag;=ThreeLinearProtons&extra;=1358633677017 A) What is the initial potential energy of the system of charges? B) What is the final potential energy of the system of charges (after q3 is an infinite distance away)? C) What will be the final speed of the proton q3?

Explanation / Answer

a)initial potential energy of the system of charges=k*q^2/r+kq^2/r+k*q^2/2r q=1.6*10^-19 c r=4*10^-12 m initial pe=1.43*10^-16 j b)final pe=k*q^2/r=5.74*10^-17 j c)change in pe=kinetic energy of q3=8.55*10^-17 j 0.5*1.67*10^-27*v^2=8.55*10^-17 v=320044.9 m/s

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