Multiple-Concept Example 3 provides some pertinent background for this problem.

Question

Multiple-Concept Example 3 provides some pertinent background for this problem. Suppose a single electron orbits about a nucleus containing two protons (+2e), as would be the case for a helium atom from which one of the naturally occurring electrons is removed. The radius of the orbit is 2.03 times 10^-11 m. Determine the magnitude of the electron's centripetal acceleration. Number 2.49E13 Units First, use Coulomb's law to determine an expression for the force on the electron. Then, divide this expression by the electron's mass to determine its acceleration. Knowns and Unknowns The data for this problem are listed below:

Explanation / Answer

Here

q1 = e

q2 = 2e

r = 2.03 *10^-11 m

magnitude of centripetal acceleration = force/mass of electrons

magnitude of centripetal acceleration = (9 *10^9 * 2 * (1.602 *10^-19)^2/(2.03 *10^-11)^2)/(9.11 *10^-31)

magnitude of centripetal acceleration = 1.23 *10^24 m/s^2

the magnitude of centripetal acceleration of the electrons is 1.23 *10^24 m/s^2

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