Your boss at the cut-rate cuckoo clock company asks you whatwould happen to the frequency of the angular shm of the balancewheel if it had the same density and the same coil spring (thus thesame torsion constant), but all the balance wheel dimensions weremade one-third as great to save material. a)by what factor would the frequency change? b)would the frequency increase or decrease by the factor foundin part (a)? c)by what factor would the torsion constant need to be changedto make the smaller balance wheel oscillate at the originalfrequency? d)would the torsion constant need to be increased or decreasedby the factor found in part (c)?

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.