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PHY 2001 Practice Test # 2 1. Given that you know the average mass of a cell phone, the mass of a brass ball (Collisions), and that the average mass of an adult human in the world is about 62 kg (80 kg in North America), estimate a) the mass of your hand; b) the mass of an automobile, c) the mass of a wooden meter stick used in the lab. 2. Give yourself approximate values for the variables needed and estimate (all metric!): a) your kinetic energy when you are walking on the street at a leisure pace; b) the kinetic energy of a subway train when at rest on a station; c) the speed of sound in a i) very hot day in NYC, ii) very cold day in NYC. 3. For labs 6 to 10, name a) at least three experiments where rulers were used; b) at least two experiments where temperature was measured. 4. Students measure the period for a simple pendulum of length 0.400 m, by releasing the mass when the string makes initial angles, 0 , of 5 , 10, 15 , 20, and 30 . The measured values for the periods T is shown on the table for three different groups Group T5 (s) T10 (s) T15 (s) T20 (s) T25 (s) 1 1.270 1.264 1.276 1.268 1.270 2 1.3 1.3 1.3 1.3 1.3 3 1.268 1.270 1.274 1.280 1.292 Which group shows, a) a monotonic increase in the period with amplitude of the oscillation? b) No dependence or too few significant figures to decide?; c) a random variation?. 5. State Hooke’s ‘Law’, pointing to its limitations, and give two examples of systems that exhibit approximately a behavior that agrees with Hooke’s ‘Law’. 6. A student attaches one end of a spring to a fixed support and a mass M to the other end of the spring. She then measures, i) the amount of stretching of the spring s and, ii) the period of oscillation, T. She then plots a) the weight of the hanging mass, Mg, versus the amount of stretching, s; she determines the slope of the best-fit line to be 25.8 N/m ; and b) the mass, M, versus the square of the period, T2 ; and determines the slope of the best fit line to be 0.628 kg/s2. From these two slopes determine the possible values for the stiffness of the spring as well as their percent discrepancy. 7. Using a meter stick, a fulcrum, string hangers, and a 100 g weight, give values of one set of position to balance a) a 200 g weight, and b) a 385 g weight. 8. A 150-gram meter stick is horizontally in equilibrium by placing one finger below it at the 30 cm mark and another one at the 90 cm mark. A) Sketch all the forces on the meter stick, and b) determine the forces of the fingers on the meter stick. 9. Explain the difference between a whistling sound and a vowel sound. Use Audacity. 10. A rectangular box with a square base 30 cm on the side, and a height of 40 cm, has a circular mouth 10.0 cm in diameter and a neck 0.80 cm long. Use the formula for a Helmholtz resonator and find its resonant frequency? 11. Make a sketch of the apparatus used in the experiment on the measurement of the speed of sound in air. 12. The tube used in lab 10 is filled with water and Helium. Using a tuning fork of 2,000 Hz, the location of the first two resonances, as measured from the top of the tube, are 0.118 m and 0.371m. Determine the speed of sound in the Helium .