From mechanics, you may recall that when the acceleration of an object is proportional to its coordinate, d2xdt2=−kmx=−ω2x, such motion is called simple harmonic motion, and the coordinate depends on time as x(t)=acos(ωt+ϕ), where ϕ, the argument of the harmonic function at t=0, is called the phase constant. find a similar expression for the charge q(t) on the capacitor in this circuit. do not forget to determine the correct value of ϕ based on the initial conditions described in the problem. express your answer in terms of q0, l, and c. use the cosine function in your answer.

Researchers conducted an experiment to identify the effects of three different hand sanitizers on the growth of bacteria. the researchers grew one type of bacteria in twenty-four identical covered petri dishes. then, they opened eighteen petri dishes and applied the three hand sanitizers to six petri dishes each. they left the remaining six petri dishes closed as a control group. when the researchers measured the growth of bacteria two days later, the six dishes that had no hand sanitizer showed the least amount of bacterial growth. the researchers concluded that not using any hand sanitizer would lead to the least bacterial growth. which statement best explains why the researchers’ conclusion was not justified? the experiment tested too many variables. the control group was not treated the same as the experimental group. the sample size of twenty-four petri dishes is not large enough. the single type of bacteria is not adequate to make any conclusions.