PES 2130 General Physics III Practice Exam 1 1. What pressure (in Pascals, atmospheres and mmHg) does a 2 x 2.5 meter waterbed mattress weighing 20,000 N exert on the floor beneath it? 2. What is the water pressure increase between the surface of a lake and a point 6 meters below the surface? (water=1000 kg/m3) 3. A solid piece of metal weighs 100 N in air and 60 N when suspended in water. What is the density of the metal? 4. A pipe opens up from a diameter of 2 cm to a diameter of 6 cm. If water is flowing at 2 m/s in the 2 cm pipe, at what speed is it flowing in the 6 cm pipe? 5. Oil (oil=800 kg/m3)in one section of a pipe is under 150 kPa of pressure and is travelling at 3 m/s. The pipe goes downhill to a vertical distance of 4 meters below its original height. The pressure now is measured to be 180 kPa. How fast is the oil now flowing? 6. A spring with spring constant 200 N/m is connected to a block of mass 8 kg which can move freely in the direction of the spring. The block is displaced 3 cm and released. Find the initial energy in the system, the frequency of vibration, the period of vibration, and the maximum speed of the block. 7. A pendulum is constructed of a thin ring of mass 10 kg and radius 0.35 meters which is hung on a peg and allowed to oscillate with a small angle about the peg. What is the period of the pendulum? 8. What is the maximum amplitude of a driven, damped oscillator with damping coefficient b=0.05 kg/s, mass m=2 kg, and spring constant k=98 N/m? The driving force has magnitude Fo=12 N and a frequency of 7.5 Hz. 9. What is the speed of a wave in a piano wire which has mass of 0.06 kg and length of 2 meters under a tension of 300 N? 10. What is the speed of sound in air at a temperature of 40o C? 11. Find the following values for the harmonic transverse wave specified by the wave equation: y(x,t) = (3 mm) sin(31.4x + 62.8t + 1.57) Direction, frequency, wavelength, wave speed, phase angle, amplitude, max speed of a particle in the medium 12. What is the intensity of a point-source sound wave of average power 0.1 watts at a distance of 4 meters if the sound is broadcast uniformly in all directions? R. Gist 1 of 2 Ver A, Rev. 2 PES 2130 General Physics III Practice Exam 1 13. [Know the direction and orientation of reflected and transmitted waves through a string made of two different density portions under the same tension.] 14. How much more intense is a sound wave that is 32 dB of sound level above some other sound? 15. Assume a source emits a sound at frequency 240 Hz and the speed of sound in air is 343 m/s. The source travels at 80 m/s toward a receiver, who is traveling at 100 m/s toward the source. At what frequency does the receiver perceive the source frequency? 16. (removed) 17. A 1.5 meter string is fixed at both ends and put under tension such that wave speed in the string is 100 m/s. What are the fundamental and 3rd harmonic frequencies of the string? What are the same frequencies in a pipe that is closed at one end and open at the other and has an effective length of 1.5 meters (vair=343 m/s)? R. Gist 2 of 2 Ver A, Rev. 2