Week 5 Problem 2022 Attack of the invisible pendulum. A pendulum that you have never seen is measured by the illuminati to have a period of 5 seconds but an amplitude that falls to one half of its original value after 100 seconds. (a) What is the Q factor for the pendulum? (b) What would be the period of the pendulum if the damping were not present? (c) What is the length of the pendulum? ((1) Had you ignored the damping in obtaining the length, what would be the percentage inaccuracy in the length of the pendulum? Tip: Be careful about rounding error here. This doesn't mean you should write each answer to all the decimal places you can (that's just silly), it means you should calculate in such a way as to avoid accumulating rounding errors