1. A 0.40-kg mass is suspended from a string, forming a pendulum. Find out time period of the pendulum if its length is 1.2 m. If its length has increased to 1.8 m, then what would be its period? The mass of the pendulum is now reduced to 0.27 kg. What would be its period of oscillation now?
2. An emergency vehicle is traveling at 45 m/s approaching a car heading in the same direction at a speed of 24 m/s. The emergency vehicle driver has a siren sounding at 650 Hz. At what frequency does the driver of the car hear the siren? (Assume the speed of sound in air is 340 m/s.)
3. A 3.2 m length of copper pipe extends directly from a hot-water heater in a basement to a faucet on the first floor of a house. If the faucet isn't fixed in place, how much will it rise when the pipe is heated from 20.0 C to 85.9 C. The coefficient of linear expansion for copper is 1.6*10^-5 K¹.