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Honors Physics: Practice Problems for Final Try any of these that seem to be unfamiliar. (Answers are given in parentheses so that you may check your work.) 1. Running at 2.0 m/s, Bruce, the 45.0 kg quarterback, collides with Biff, the 90.0 kg tackle, who is traveling at 7.0 m/s in the other direction. Upon collision, Biff continues to travel forward at 1.0 m/s. How fast and in what direction is Bruce knocked? (10. m/s backwards) 2. A shotputter heaves a 7.26 kg shot with a final velocity of 7.50 m/s. What is the kinetic energy of the shot? (204 J) 3. A 6500 kg freight car traveling at 2.5 m/s collides with an 8000.kg stationary freight car. If they interlock upon collision, find their velocity. (1.1 m/s) 4. A rock climber wears a 7.50 kg knapsack while scaling a cliff. After 30.0 min, the climber is 8.20 m above the starting point. a) How much work does the climber do on the knapsack? (603 J) b) If the climber weighs 645 N, how much work does she do lifting herself and the knapsack? (5890 J) c) What is the average power developed by the climber? (3.27 W) 5. Radio station WBOS broadcasts at a frequency of 92.9 MHz. What is the wavelength of the radio waves emitted by WBOS? (3.23 m) 6. A periodic transverse wave that has a frequency of 10.0 Hz travels along a string. The distance between a crest and either adjacent trough is 2.50 m. What is the wavelength? 7. A wave generator produces 16.0 pulses in 4.00 s. a) What is its period? b) What is its frequency? (0.250 s, 4.00 Hz) 8. What is the wavelength of a sound wave that has a frequency of 250.Hz and a speed of 350.m/s? What is the air temperature? (1.40 m, 31ºC) 9. If the distance between two masses is quadrupled, what happens to the gravitational force between them? 10. Two bowling balls each have a mass of 6.8 kg. They are located next to one another with their centers 21.8 cm apart. What gravitational force do they exert on each other? (6.5 X 10-8 N) 11. What would be the period of a 20.06 cm pendulum on Earth? How long would a pendulum on the moon have to be to have the same period? (0.8989 s, .03343 m) 12. If the distance between two point charges is reduced to one-third, what happens to the electrostatic force between them? 13. Two charges are separated by a distance and exert a force on each other. What new force will exist if the magnitude of each of the charges is doubled? 14. Two point charges are separated by 10.0 cm. If one charge is +20.00 C and the other is –6.00 C, what is the force between them? (-1.10 X 102 N) 15. What is the resistance of the heating element in a car lock de-icer that contains a 1.5 V battery supplying a current of 0.5 A to the circuit? (3 Ω) 16. How much power is used by a contact lens heating unit that draws 0.070 A of current from a household line?(8.4 W) 17. Three resistors (6.0 Ω, 10. Ω, 15 Ω) are connected in series to a 12 V battery. Draw the circuit diagram. Find the total current in the circuit, the voltage drop across each resistor and the current through each resistor. (0.39 A; 2.3 V, 3.9 V, 5.8 V; 0.39 A) 18. The same resistors are now connected in parallel. Answer the same questions as above. (4.0 A; 12 V; 2.0 A, 1.2 A, 0.80 A) 19. A projectile is launched at 33m/s at an angle of 20.º to the ground. How long is it in the air? What is its maximum height and range, neglecting air resistance and assuming it lands on ground the same height as that from which it was launched? (2.3 s, 6.5 m, 71 m) 20. The mass of a bicycle and rider is 53.0 kg. How much work has been done if the bicyclist slows the bicycle from a speed of 3.84 m/s to 1.27 m/s? (-348 J) 21. A 0.068 kg ball strikes a wall with a velocity of 22.1 m/s. The wall stops the ball in 0.36 s. What is the magnitude of the impulse on the ball? does the wall exert to stop the ball? What magnitude force (1.5 N.s, 4.2 N) 22. What work is done when 3.0 C is moved through an electric potential difference of 1.5 V? (4.5 J) If the potential difference is between two parallel plates that are 0.20 mm apart, what is the magnitude of the electric field between them? (7.5 X 103 N/C) Additional topics (from students F06) 23. At 10.0ºC, a pipe open at both ends produces a fifth harmonic standing wave of frequency 500. Hz. What is the length of the pipe? (1.69 meters; LA) 24. At 20.0ºC, a tube opened at one end but closed at the other is 2.00 meters long. What frequency is produced by the third harmonic? (129 Hz; LA) 25) A large block of wood with a mass of 10.2kg is hanging from two cords. A bullet with a mass of 9.62grams is shot at the block of wood. When the two collide the bullet gets stuck inside of the wood and the entire structure swings to rise to a height of 6.81cm above its resting position. What was the speed of the bullet prior to hitting the block of wood? (1130 m/s; DK) 26) If two tuning forks of frequencies of 256 Hz and 260 Hz were played, how many beats would be heard, and at what frequency? (4 beats, 258 Hz ; CT) 27) A boat moves toward the shore at 42.0 m/s. The boat sounds a horn with a frequency of 261 Hz. What frequency is detected by a stationary observer standing on the beach? (297 Hz; CD)