Problem 25.46 Part A A proton moves along the z-axis where some arrangement of c

Question

Problem 25.46 Part A A proton moves along the z-axis where some arrangement of charges has produced the potential V(z) Vo sin(2TEA), where Vo 4800 V and = 1.0 mm. What minimum speed must the proton have at x = 0 to move down the axis without being reflected? Express your answer with the appropriate units 0 Talue Units UpValue Units Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining Part B What is the maximum speed reached by a proton that at0 has the speed you calculated in part A? Express your answer with the appropriate units up max =1 Value Units Submit My Answers Give Up

Explanation / Answer

Solution-

A) at x = 0

V(0) = 0 Volt

V(x)_max = 4800 Volt
Now initial KE needed = q deltaV

(1.673 x 10^-27) v^2 /2 = (1.602 x 10^-19) (4800 -0 )


v = 9.59 x 10^5 m/s Answer


(b) maximum speed will be reached when V(x) is minimum.

V(x)_min = - 4800 m

change in KE = q delta V

m v^2 /2 - 0 = (+e)(Vmax - Vmin)

1.673 x 10^-27 x v^2 /2 = (1.602 x 10^-19) (4800 - (-4800))

v = 1.35 x 10^6 m/s

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