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AP Physics C: E&M
9.3 Conservation of Electric Energy
BeginnerMCQMathematicalProportional AnalysisConceptual21.5k
Ion 1 with charge \(+q\) and Ion 2 with charge \(+2q\) each have mass \(m\) and enter a region of uniform electric field with identical initial kinetic energy \(K_0\). The electric field is directed opposite to the initial velocity of each ion, exerting an electrostatic force that brings them momentarily to rest. Ion 1 comes to rest after traveling a stopping distance \(d_1\) with an acceleration of magnitude \(a_1\). Which row in the table correctly relates the stopping distance \(d_2\) and the magnitude of the acceleration \(a_2\) of Ion 2 to those of Ion 1?

RowStopping Distance \(d_2\)Acceleration Magnitude \(a_2\)
A\(\dfrac{1}{2} d_1\)\(2 a_1\)
B\(\dfrac{1}{2} d_1\)\(\dfrac{1}{2} a_1\)
C\(d_1\)\(2 a_1\)
D\(2 d_1\)\(2 a_1\)

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