A clock uses a pendulum that is 75 cm long. The clock is accidentally broken, and when it is repaired, the length of the pendulum is shortened by 2.0 mm. Consider the pendulum to be a simple pendulum.
(a) Will the repaired clock gain or lose time?
(b) By how much will the time indicated by the repaired clock differ from the correct time (taken to be the time determined by the original pendulum in 24 h)?
(c) If the pendulum rod were metal, would the surrounding temperature make a difference in the timekeeping of the clock? Explain.