[3] (a) A pendulum that has a period of 3.07000 s and that is located where the acceleration due to gravity is 9.77 m/s² is moved to a location where it the acceleration due to gravity is9.79 m/s². What is its new period? (Enter your answer in seconds and to at least 5 decimal places.)S(b) Explain why so many digits are needed in the value for the period, based on the relation between the period and the acceleration due to gravity.

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