Please show all work. Thanks An electron and a proton are each placed at rest in

Question

Please show all work. Thanks

An electron and a proton are each placed at rest in a uniform electric field of magnitude 486 N/C. Calculate the speed of each particle 49.2 ns after being released. electron _________ m/s
proton __________ m/s

Explanation / Answer

F = qE, will be same on both as both have same charge =>F = 1.6 x 10^-19 x 552 = 883.20 x 10^-19 N =>For electron:- a(e) = F/m(e) = (883.20 x 10^-19)/(9.109×10^-31) = 9.7 x 10^13 m/s^2 =>For proton:- a(p) = F/m(p) = (883.20 x 10^-19)/(1.67×10^-27) = 5.29 x 10^10 m/s^2 For electron:- =>By v = u + at =>v = 0 + 9.7 x 10^13 x 45.2 x 10^-9 = 4.38 x 10^6 m/s For proton:- =>By v = u + at =>v = 0 + 5.29 x 10^10 x 45.2 x 10^-9 = 2.39 x 10^3 m/s

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