1) Determine the acceleration of a pendulum bob as it passes through an angle of 15 degrees to the right of the equilibrium point.
2) A police car with a siren that has a frequency of 900 Hz is moving toward you at 32.0 m/s. Given that the speed of sound is 340 m/s, what is the apparent frequency you hear?
3) The speed and wavelength of coastal water waves are 4.0 m/s and 6.0 m respectively. When the waves enter a shallower region, the speed decreases to 1.7 m/s. What is the wavelength in the shallower region?
4) The first resonant length of a closed air column occurs when the length is 40 cm. What will the third resonant length be?
5) A pendulum has a mass of 2.35 kg. If the pendulum swings back and forth 110 times in 90.0 seconds, what is the length of the pendulum?
6) A vertical spring is stretched 60.0 cm by a hanging 5.00 kg mass.
a. What is the spring constant?
b. What will be the frequency of vibration of this spring system?
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