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Physics 151 May 9, 2005 Roster No.: Score:
Exam time limit: 120 minutes. You may use calculators and both sides of 2 sheets of notes,^ Final Exam, Part A handwritten only.
Closed book; no collaboration. than one answer is asked for). Physical constants: For multiple-choice questions, circle the letter of the one best answer (unless more g Useful conversions: 1 year = 3.156 = 9.81 m/s^2 × 107 s G 1 m = 6.673 (^3) = 1000 L × 10 –^11 N·m^2 /kg^2 1 atm = 1.013 × 105 Pa
1. your work.) Use to (^) 2 significant figures (10 pts.) Convert scientific notat the following quantities into the. ion where appropriate (very large or very small values), and express all final values given units. Fill in the blanks. (You do NOT need to show
a. 850 MW = mW b. 240 kPa = atm c. 2.0 L = cm^3 d. 1.5 × 108 km = μm e. 19 kg/L = g/cm^3
2. (1 pt.) Which ONE of the following is always a A. velocity B. force D. linear momentumE. angular momentum scalar quantity? C. acceleration F. kinetic energy
3. (1 pt.) (^) A. B. energy Power force has the same units as which one of the following? × ×speed distance D. force ÷ timeE. energy × time C. force × time F. energy ÷ distance
4. (2 pts.) An object falls freely from rest. The A. mass B. square root of mass D. initial heigE. square root of initial height time required for it to strike the ground isht proportional to its: C. square of mass F. square of initial height
(^5) component of its. a. (2 pts.) A. 0.18 v A projectile is launched with initial velocity initial velocity 0 is:D. 0.57 v 0 v 0 at an angle of 35˚ above the horizontal. The y - B. 0.30 v C. 0.43 v 00 E. 0.70 vF. 0.82 v (^00) b reach?. (2 pts.) A. 27 m If the same projectile is launched on level ground with vD. 68 m 0 = 40. m/s, what maximum height does it B. 41 m C. 54 m E. 82 mF. 160 m
(^6) Circle ALL that apply:. (3 pts.) A. constant linear speed Which ONE or MORE of the following are true for an object moving inD. constant period uniform circular motion? B. constant linear velocity C. constant angular momentum E. constant angular accelerationF. zero work performed
7. (2 pts.) a (^). _____ the planet’s orbital TRUE or FALSE (T or F): period For any planet in a circular orbit around the Sun… depends on the planet’s mass. b c. _____ the gravitational. _____ the planet’s orbital force speed of the Sun on the planet depends on the planet’s mass. depends on the planet’s mass.
8. at a distance of 1.5 (2 pts.) If the acceleration due to gravity at the Earth’s surface equals A. 0.44 g (^) R Earth from the center of the Earth?D. 0.71 g g , what is the acceleration due to gravity B. 0.50 C. 0.67 gg E. 0.82F. 0.90 gg
(^9) kinetic energy. (2 pts.) A solid sphere of mass A. 0.25 is: M v 2 M D. 0.70 and moment of inertia (2/5) M v 2 MR^2 is rolling without slipping at speed v. Its total B. 0.30 C. 0.50 MM vv^22 E. 0.75F. 0.90 MM vv 22
13. (1 pt.) A. 1/meters B. meters Hertz are mathematically equivalent to: D.E. 1/seconds seconds C. meters/second F. 1/seconds^2
(^14) natural frequency of the pendulum, which. (1 pt.) A. The pendulum’s natural frequency will increase over time. If you apply a periodic push to a frictionless pendulum, and your pushing frequency is very close to the one of the following will occur? B. The pendulum’s natural period will increase over time. C. The pendulum’s amplitude of oscillation will increase over time. D. The pendulum’s maximum speed will diminish over time.
15. waves inside the tube, creating a loud tone. The speed of sound in air is 330 m/s. a. (2 pts.) What is the If you blow across the open end of a 33 frequency of the fundamental - cm-long tube whose other end is closed, you can excite standing sound mode of oscillation? A. 33 Hz B. 67 Hz C. 120 Hz D. 250 HzE. 330 HzF. 500 Hz
b. equal to the fundamental fr (2 pts.) A. 1.33 If you blow harder, you can create a different, higher equency multiplied by D. 1.67 : -pitched tone: the 1 st^ overtone. Its frequency is B. 1.41 C. 1.5 E. 2F. 3
c. the (1 pt.) If you frequencies A. become higher (^) shorten of the fundamental and 1 the column of air inside the tube by partially filling the tube with water, what will happen to B. remain unchangedst (^) overtone? C. become lower
16. (2 pts.) All of the following are true EXCEPT which A. Sound waves are longitudinal oscillations. B. The speed of a sound wave is independent of its wavelengt one? h or frequency. C. The frequency of a sound wave corresponds to the “volume” that we hear. D. Standing waves on violin and guitar strings are transverse oscillations.
17. (1 pt.) Three Great A. Gravitation, Electromagnetism, and Nuclear forces B. Work, Heat, and Energy Conservation Laws we learned this semester are: Conservation Of… C. Force, Momentum, and Torque D. Elastic Potential Energy, Gravitational Potential Energy, and Kinetic Energy E. Energy, Momentum, and Angular Momentum F. Energy, Gas, and Water
Physics 151 May 9, 2005 R Score: oster No.:
Show your work on all free^ Final Exam, Part C - response questions. Be sure to use proper units and significant figures in your final
answers. 1. Tarzan, whose mass is 95 kg, grabs a vine of length L = 13 m and negli ground resistance for all parts of this question except partgible mass. with an (^) initialHe pushes off from a ledge speed v 0 = 8.0 m/s, as h (^) (f). (^0) shown. = 5.0 m above theIgnore air a. (5 pts.) To what maximum final height h f will Tarzan swing?
b. (without touching the ledge), what will be the (4 pts.) If Tarzan continues to hold on to the vine and allows himself to swing back and forth several times period of his swings?
c. (1 pt.) At a moment that the vine is A. zero B. less than Tarzan’s weight exactly vertical (^) C. equal to Tarzan’s weightD. greater than Tarzan’s weightduring one of its swings, the tension in the vine is:
d. Tarzan. If she pushes off from the same ledge at the same speed as Tarzan, her maximum (1 pt.) A. less than Tarzan’s Suppose that Jane, whose mass is 55 B. the same as Tarzan’s kg, had grabbed the vine at the start of this problem instead ofC. more than Tarzan’s final height h f would be: e. touching the ledge), the (1 pt.) If Jane con A. shorter than Tarzan’stinues to hold on to the vine and allows herself to swing back and forth several times (without period of her swings would be: B. the same as Tarzan’s C. longer than Tarzan’s f. quantities would (2 pts.) If A. speed at bottom of swing air (^) resistancedecrease over time? were present during the swings in part (b) or (e), which Circle ALL that apply: C. time to complete one swing ONE or MORE of the following B. height at ends of swing D. number of swings per minute
vine L
h 0 v^0^ h f
Physics 151 May 9, 2005 Roster No.: Score:
Show your work on all free^ Final Exam, Part D - response questions. Be sure to use proper units and significant figures in your final
answers. 3. A small research submarine goes on a dive to investigate the summit of Loihi, the undersea volcano off the southeast coast of the Big Island. (^1030) a. (5 pts.) kg/m 3 at any pressure or depth.If the summit of Loihi is at an ocean depth of 0.99 Assume that seawater is ideally incompressible, so that it has a density of km, what is the pressure on the outside of the submarine at that depth? Convert your final answer to atmospheres.
b. that it has a tendency neither to sink n what must be the submarine’s total (5 pts.) Suppose we want the submarine to have mass or to float. If the submarine can be approximated by a sphere of radius 1.3 for it to be neutrally buoyant? ( neutral buoyancy when completely immersed Recall: V sphere = (4/3)πR (^3) .) in seawater, so m,
4. string’s mass is 50. vibrate horizontally with a small amplitude at any desired frequency, A metal weight is hung at the end of a string, creating a unifo g and its length is 1.5 m. The top end of the string is fixed to a motor that canrm tension in the string. f. The a. metal weight at the end of the string. (3 pts.) If the speed of all transverse w Recall: aves along the string is 36 m/s, calculate the mass of the
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v = (^) mF T L.
The motor’s frequency while; then, at increased further, frequency the f first is started at zero and is slowly increased. f 1 , a standing mode vanishes,-wave mode suddenly appears along the string. but a second standing Nothing much happens for a-wave pattern appears As f isat frequency entire problem, assume that f 2. Subsequent standing BOTH ends of the string act as though they are-wave patterns appear at frequencies f (^3) FIXED , f 4 , f 5 , etc..) (For this b. (6 pts.) Calculate frequencies f 1 and f 2.
c. modes correspondin dots, including any nodes at endpoints. Again, assume that (4 pts.) On the two strings shown at right,g to both f 1 and f 2. Mark ALL sketch (^) the standing nodes (^) BOTH with heavy-wave ends of the string are FIXED. d. the bottom of the string? (2 pts.) How do A. both frequencies increase f 1 and f 2 change if you increase the metal weight at B. both frequencies remain unchanged C. D. ff 11 increases, butdecreases, but f f 22 decreases increases
e. (1 pt.) How do^ E. both frequencies decrease λ 1 and λ 2 change if you increase the metal weight at the bottom A. both wavelengths increase B. both wavelengths remain unchanged of the string? Assume that the string does not stretch. C. both wavelengths decrease f. (2 pts.) How many antinodes does the string’s 4 th^ overtone have?
f 1 : f 2 :
f string
weight^ metal
