Multiple-Choice Homework Problem 14.1 In a region of space the electric potentia

Question

Multiple-Choice Homework Problem 14.1 In a region of space the electric potential is V (x) = x, where = 150 N C is a constant. Calculate the electric field at the point (3m, 0, 0) in the region. Select One of the Following: (a) E~ = 50 N C ˆx (b) E~ = 150 N C ˆx (c) E~ = 450 N C ˆx (d) E~ = 675 N C ˆx

Multiple-Choice Homework Problem 14.2 An electron and a proton are on average 5 × 1011m apart in a hydrogen atom. Suppose (disastrously) the electron’s charge changed sign and the atom blew apart. The charge of an electron is 1.6 × 1019C and the mass of an electron is 9.11 × 1031kg. How fast would the electron be going after it was very far from the proton. You may assume the proton is stationary. Neglect any relativistic effects. Select One of the Following: (a) 3 × 108 m s (b) 3 × 106 m s (c) 9 × 1012 m s (d) 4 × 1018 m s (e) 4 × 103 m s

Explanation / Answer

14.1) E = -dV/dx x^ = - x^ = -150 N/C x^ (Option b)

14.2) v = sqrt[ke^2/mr] = sqrt[(9*10^9*1.6*1.6*10^-38)/(9.11*10^-31*5*10^-11)] = 2.25*10^6 m/s (option b)

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