Assignment:
Question 1. A mass - spring system in SHM in the horizontal direction. If the mass is 0.25 kg, the spring constant is 12 N/m, and the amplitude is 15 cm, (a) what is the maximum speed of the mass, and (b) where does this occur? (c) What is the speed at half amplitude position?
Question 2. A clock uses a pendulum that is 75 cm long. The clock is accidently broken, and when it is repaired, the length of the pendulum is shortened by 2 mm. Consider the pendulum to be 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 were metal, would the surrounding temperature make a difference in timekeeping of the clock? Explain.
Question 3. A submarine on the ocean surface receives a sonar echo indicating an underwater object. The echo comes back at an angle of 20 degrees above the horizontal and the echo took 2.32 s to get back to submarine. What is the object's depth?