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

ID: 1524818 • Letter: M

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 3.09 × 10-11 m. Determine the magnitude of the electron's centripetal acceleration.

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 3.09 x 11 m. Determine the magnitude of the electron's centripetal acceleration. Number Unit m/sn2

Explanation / Answer

F = k q1 q2 / r2 = me * ac

ac =  k q1 q2 / r2 me

a =  k 2e2 / r2 me

= (8.99 * 109 * 2( 1.6 * 10-19)2) / ((3.09 * 10-11)2 * 9.12 * 10-31)

= 5.29 * 1023 m/s2