36. ••• A grandfather clock behaves like a simple pendulum 75 cm long. The clock is accidentally broken, and when it is repaired, the length of the pendulum is shortened by 2.0 mm.

(a) Will the repaired clock gain or lose time?

(b) By how much will the time on the repaired clock differ from the correct time (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.