A seismic probe of mass mmm designed for planetary exploration oscillates horizontally with simple harmonic motion inside an icy moon. The probe has an amplitude of oscillation AAA and experiences a maximum acceleration amaxa_{\text{max}}amax.
Which of the following expressions represents the total mechanical energy of the probe?
12mAamax\frac{1}{2} m A a_{\text{max}}21mAamax
12mA2amax\frac{1}{2} m A^2 a_{\text{max}}21mA2amax
12mamax2\frac{1}{2} m a_{\text{max}}^221mamax2
mAamaxm A a_{\text{max}}mAamax
