AP Physics 2
12.2 Magnetism and Moving Charges
A charged particle of mass \(m\) and charge \(+q\) enters a region containing a static, non-uniform magnetic field with an initial velocity directed entirely along the \(+x\)-axis. Due to the magnetic forces exerted by the field, the particle is deflected such that its velocity component in the \(x\)-direction, \(v_x\), smoothly decreases to zero at time \(t_0\) and reverses direction, exiting the magnetic field region at time \(2t_0\). Which of the following graphs best represents the particle's total kinetic energy \(K_{\text{total}}\) (solid line) and its \(x\)-component kinetic energy \(K_x = \dfrac{1}{2}mv_x^2\) (dashed line) as functions of time \(t\) from \(t = 0\) to \(t = 2t_0\)?
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