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Consider an electron with mass m and charge -e moving in a circular orbit with r

ID: 2003731 • Letter: C

Question

Consider an electron with mass m and charge -e moving in a circular orbit with radius r around a fixed proton with mass M and charge +e. The electron is held in orbit by the electrostatic force between itself and the proton. Which one of the following expressions for the speed of the electron is correct? v = squareroot ke^2 / mr v = squareroot GM/r v = squareroot 2 ke^2 / mr^2 v = squareroot me^2 / kr v = squareroot ke^2 / 2Mr Consider an electron with mass m and charge -e located a distance r from a fixed proton with mass M and charge +e. The electron is released from rest. Which one of the following expressions for the magnitude of the initial acceleration of the electron is correct? a = 2ke^2 a = squareroot 2e^2 / mMr a = squareroot 2e^2 / mkr a = 1/2 me^2k^2 a = 2ke^2 / mr

Explanation / Answer

centripetal force = electrostatic force

mv^2 /r = k.e^2/r^2

v=( k.e^2 / mr )^0.5

F=m*a

k.e^2/r^2 = m *a

a = k e^2 / m r^2