Problem 20.17 16 of 17 > Part A tants A small glass bead has been charged to +30

Question

Problem 20.17 16 of 17 > Part A tants A small glass bead has been charged to +30 nC What is the the acceleration of a proton that is 4.0 cm from the center of the bead? Input positive value if the acceleration is directed toward the bead and negative if it is directed away from the bead Express your answer to two significant figures and include the appropriate units apValue Units Submit Request Answer Part B What is the the acceleration of an electron that is 4.0 cm from the center of the bead? Input positive value if the acceleration is directed toward the bead and negative if it is directed away from the bead Express your answer to two significant figures and include the appropriate units ae-= 1 Value Units Submit Request Answer

Explanation / Answer

F = qE and E = kQ/r² where Q = 30e-9C, q = 1.6e-19C, r = 0.04m, k = 9e9

The force on the proton is the same as that on the electron except the proton is repelled and the electron is attracted.

F = m*a => a = F/m = (1.6e-19*9e9*30e-9/0.03²)/m

A) For a proton m = 1.67e-27kg => a = 1.6e13m/s²

B) For an electron m = 9.11e-31kg => a = 3.0e16m/s²

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