Review Problems_07_

Review Problems_07_ - SAINT JOSEPH'S PREPARATORY SCHOOL...

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Unformatted text preview: SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: 1. T. P. Fitzpatrick An elastic cord vibrates with a frequency of 3.0 Hz when a mass of 0.60 kg is hung from it. What is the spring constant of the cord? What is its frequency if only 0.38 kg hangs from it? k: f: 2. ________________________ ________________________ The springs of a 1500-kg car compress 5.0 mm when its 68-kg driver gets into the driver’s seat. If the car goes over a bump, what will be the frequency of vibrations? f: [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” ________________________ PAGE 1 3. At 0.00° C, sound travels at 330.0 m/s. What is the frequency of a sound whose wavelength is 2.00 m at 0.00° C? f: 4. ________________________ A sound wave in air has a frequency of 262 Hz and travels with a speed of 343 m/s How far apart are the wave crests (compressions)? λ: ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 2 SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: T. P. Fitzpatrick 5. A fisherman’s scale stretches 3.6 cm when a 2.7-kg fish hangs from it. What is the spring stiffness constant and what will be the amplitude and frequency of vibration if the fish is pulled down 2.5 cm more and released so that it vibrates up and down? k: A: f: 6. ________________________ ________________________ ________________________ A small fly of mass 0.25 g is caught in a spider’s web. The web vibrates predominately with a frequency of 4.0 Hz. What is the value of the effective spring stiffness constant k for the web? At what frequency would you expect the web to vibrate if an insect of mass 0.50 g were trapped? k: f: [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” ________________________ ________________________ PAGE 3 7. What is the frequency of a photon whose wavelength is 6350 Å (6.35 x 10-07 m)? f: 8. ________________________ An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.50 Hz (typical of earthquakes, which actually include a mixture of frequencies), what amplitude is needed so that objects begin to leave contact with the ground? [Hint: Set the acceleration a = g] Amplitude: ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 4 SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: T. P. Fitzpatrick 9. A periodic disturbance is traveling through an elastic medium and a point in the medium undergoes simple harmonic motion as a result. The equation describing the position of the point as a function of time is y = 15.0 sin(22.0t ) . If all measurements are in standard SI units, what is the amplitude of the SHM? What is the frequency? What is the maximum velocity of the point? What is the maximum acceleration of the point? A: frequency: vmax: amax: ________________________ ________________________ ________________________ ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 5 10. What is the sound intensity in decibels 5.00 m from a barking dog that is emitting sound at 1.00 mw uniformly in all directions? dB: 11. ________________________ The frequency of a train horn is 500 Hz. Assume the speed of sound in air is 340 m/s. What is the frequency heard by an observer if the observer is approaching the train with a speed of 30.0 m/s? f’: ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 6 SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: T. P. Fitzpatrick 12. Sonar is used to determine the speed of an object. A 40-kHz signal is sent out, and a 42-kHz signal is returned. Assume the speed of sound is 345 m/s. How fast is the object moving? speed: ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 7 13. The frequency of the third harmonic of an open pipe is 900 Hz. What is the length of the pipe? L: ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 8 SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: T. P. Fitzpatrick 14. A sound source (normal frequency of 1000 Hz) approaches a stationary observer at one-half the speed of sound. The observer hears what frequency? speed: 15. ________________________ What is the length of the shortest pipe closed on one end that will have a fundamental frequency of 60 Hz on a day when the velocity of sound is 340 m/s? L: [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” ________________________ PAGE 9 16. A speaker produces sound at an intensity level of 0.000316 w/m2. What is the decibel level of this sound? dB: 17. ________________________ A rock is dropped into a well and the splash is heard 3.50 s later. How deep is the well? Remember that the rock is in free fall and the sound returns at a constant velocity. depth: ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 10 SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: T. P. Fitzpatrick 18. The frequency range of FM radio signals between 87.5 and 107.1 MHz. What is the range of wavelengths for the FM band? shortest: longest: 19. ________________________ ________________________ In the accompanying picture, an arrow is shown in front of a mirror. If the radius of curvature is 25.0 cm and the arrow is 8.50 cm from the mirror surface, what is the distance of the image from the mirror? What kind of image is formed. Sketch (free hand) three rays of light from the arrow tip that would show how the image is formed. di: ________________________ kind of image: ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 11 20. An arrow is in front of a convex spherical mirror whose focal length is 35.0 cm. If the object is 25.0 cm from the mirror surface, where is the image? What kind of image is formed? What is the magnification? di: ________________________ kind of image: ________________________ M: 21. ________________________ A pen placed 11.0 cm from a concave spherical mirror produces a real image 13.2 cm from the mirror. What is the focal length of the mirror? If the pen is moved to a place 27.0 cm from the mirror, what is the new position of the image? f: di : ________________________ ________________________ [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 12 SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: T. P. Fitzpatrick 22. A 640 μF capacitor is found to have 0.400 C of charge on it. What is the voltage across the capacitor? What is the energy stored on the capacitor? voltage: energy: 23. ________________________ ________________________ What is the force of electrostatic attraction between two charged objects if they have charges of +6.25 μC and –5.44 μC and they are separated by a distance of 0.355 m? force: [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” ________________________ PAGE 13 24. What charge is on a 470 μF capacitor when 250 v is across it? How much energy is stored in the capacitor? Charge: Energy: 25. ________________________ ________________________ Two positive charges, +6.5 µC and +3.2 µC are exactly 1.00 m apart. At what point between the charges as measured from the larger charge will the force on a third charge be zero? This is the point where the electric field is zero. distance: [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” ________________________ PAGE 14 SAINT JOSEPH'S PREPARATORY SCHOOL [HONORS] PHYSICS TEST ........................... T P FITZPATRICK May, 2009 Name: _________________________________ Period:__________________ Instructor: 26. Fill in the chart: V (v) 1 2 3 T 45 I (A) R (Ω) 20 25 45 P (w) T. P. Fitzpatrick E R1 R2 R3 27. Fill in the chart for the circuit shown. V (v) I (A) R (Ω) 50 75 150 24 P (w) 1 2 3 T [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 15 28. Fill in the chart for the circuit shown. V (v) I (A) R (Ω) 180 36 30 180 P (w) 1 2 3 T 29. Fill in the chart for the circuit shown. V (v) I (A) R (Ω) 20 30 75 240 P (w) 1 2 3 T R1 R3 [Honors] Physics Review Problems “Ad Maiorem Dei Gloriam.” PAGE 16 ...
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