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Physics 203 Final Exam December 18, 2007 George Horton

will help you. Also raise your hand during the exam if you have a question. 9. A proctor will check your name sticker and your student ID sometime during the exam. Please have them ready. 10. You are not allowed to give, solicit, or receive help on the exam, except help from a proctor. You may not change your seat without permission from a proctor.

Your name sticker with exam code

11. Please sign below to indicate that you have read and understood these instructions. 12. When you are done, please hand in this cover sheet and the scantron sheet. You may keep the exam questions. SIGNATURE: .

1. The exam will last from 4:00 to 7:00 p.m. Use a #2 pencil to make entries on the answer sheet. Enter the following id information now, before the exam starts. 2. In the section labelled NAME (Last, First, M.I.) enter your last name, then fill in the empty circle for a blank, then enter your first name, another blank, and finally your middle initial. 3. Under STUDENT # enter your 9-digit Rutgers ID number. 4. Enter 203 under COURSE, and your section number under SEC. 5. Under CODE enter the exam code given above. 6. During the exam, you may use a calculator and are allowed one handwritten 8.5" by 11" sheet of paper with notes of your choice (both sides OK). You may not use cell phones, text messaging, Blackberry, email, or any other electronic communication devices. Please make sure your phone is turned off. 7. The exam consists of 30 multiple choice questions. For each multiple choice question mark only one answer on the answer sheet. There is no deduction of points for an incorrect answer, so even if you cannot work out the answer to a question, you should make an educated guess. 8. Before starting the exam, make sure that your copy contains all 30 questions. Raise your hand if this is not the case, and a proctor

1. A 10 kg mass is supported by a massless, frictionless pulley system as shown in the diagram. What is the tension in the string? (g = 9.8 m/s2 ) a) b) c) d) e) 98 N 49 N 8.7 N 196 N 9.8 N

60

o

4. What is the acceleration of the child in the diagram if the spring scale reads 250 N? The boy's weight is 320 N and the chair weighs 160 N. (Neglect friction and the mass of the string and pulley.)

10 kg

2. After a ball is thrown vertically upwards, and is in the air, its speed a) b) c) d) e) increases decreases decreases and then increases increases and then decreases remains the same

a) b) c) d) e)

0.408 m/s2 2.7 m/s2 2.4 m/s2 -0.408 m/s2 -2.7 m/s2

3. An arctic rescue plane drops a package of supplies. It is travelling at 40 m/s at a height of 100 m above the level ground. Neglecting air resistance, what is the package's speed just before impact? a) b) c) d) e) 59.7 m/s 44.3 m/s 40.0 m/s -59.7 m/s 84.3 m/s

5. A child and sled, combined mass M, slide down a frictionless slope. If the sled starts from rest and has a speed of 3 m/s at the bottom, what is the height of the hill? a) b) c) d) e) depends on the value of M 0.459 m depends on the angle of the slope depends on M and the angle of the slope 0.491 m

6. A 100 g glider moving at 3 cm/s on a horizontal airtrack, collides with a 150 g glider at rest on this track and sticks to it. What is the speed of the combined mass after the collision? (Neglect friction) a) b) c) d) e) 3.0 1.4 1.2 1.0 0.8 cm/s cm/s cm/s cm/s cm/s

8. A cylinder with moment of inertia I rotates with angular velocity 0 about a frictionless vertical axle. A second cylinder, initially at rest and having a moment of inertia I/2 drops on the first cylinder, as shown in the diagram. Because of friction, both will eventually rotate at the same angular speed, . What is ?

7. A uniform, horizontal 300 N beam, 5 m long, is attached to a wall by a pin connection that allows the beam to rotate, as shown. Its far end is supported by a cable that makes an angle of 53 with the horizontal. If a 600 N person stands 1.5 m from the wall, what is the tension in the cable?

a) you need to know I b) you need to know the diameters of the disks c) 20 /3 d) 0 /2 e) 0

9. A uniform, flat square plate, of sides 4, has a square of side 2 removed, as shown in the diagram. Where, along the x-axis is its center of mass?

y

a) b) c) d) e)

600 388 408 300 413

N N N N N

2

a) b) c) d) e)

x=- 2/3 x = -2 2/3 x=0 x = 2/3 x = 1/2

x 4

10. Jogging along a beach you do 5×105 J of work and give off 4×104 J of heat. What is the change in your internal energy? a) b) c) d) e) -45 × 10 J -54 × 104 J -9 × 104 J 54 × 104 J 45 × 105 J

5

13. 0.02 moles of a monatomic ideal gas is taken through the cycle ABC shown in the diagram. What is the change in internal energy from C to A?

P (kPa) A

230

11. A block hanging on the end of a spring at equilibrium position x = 0. The block is now pulled down a distance A and released. How far has it travelled between it's release and when it passes x = 0 on the way down? a) b) c) d) e) A 2A 3A 4A 5A

a) you need to know the value of R b) -1980 J c) +1470 J d) 0 J e) +510 J

98

B

C

0.01

0.02

V (m3)

14. A certain gas is compressed adiabatically by doing 640 J of work on it. What is the internal energy change? a) b) c) d) e) 740 J -740 J 640 J -640 J depends on how many atoms per molecule

12. What is the length of a simple pendulum of period 1 s? a) b) c) d) e) 0.25 0.30 0.20 0.35 0.15 m m m m m

15. You see the lightening flash of a thunderstorm 15 seconds before you hear the thunder. How far are you from the thunderstorm? (speed of sound = 343 m/s, 1 mile = 1600 m) a) b) c) d) e) 1 2 3 4 5 mile miles miles miles miles

16. A noisy machine in a factory produces sound with a level of 80 db. How many additional machines could you add to this factory without exceeding the 90 db limit? a) b) c) d) e) none 9 8 7 10

19. You are a passenger in a hot-air balloon that is rising with constant velocity and you are carrying a buzzer that emits a sound of frequency f . If you accidentally drop the buzzer from the balloon, what can you conclude about the sound you hear as it falls towards the ground? a) b) c) d) e) The frequency and intensity increase The frequency increases and the intensity decreases The frequency decreases and the intensity increases The frequency decreases and so does the intensity The frequency remains the same and the intensity decreases

17. A train sounds its whistle approaching a tunnel in a vertical cliff. The whistle has a frequency of 700 Hz as heard by its engineer. The train's speed is 25 m/s. What is the frequency of the sound reflected by the cliff and heard by the engineer? a) b) c) d) e) 693 736 650 810 793 Hz Hz Hz Hz Hz

20. A pipe is 2.46 m long and open at both ends. Which of these frequencies is a harmonic? (speed of sound in air: 343 m/s) a) b) c) d) e) 215 Hz 63 Hz 100 Hz 30 Hz 209 Hz

18. A 1.0 m long string, clamped at both ends, has a mass per unit length of 2.0 × 10-3 kg/m and is under a tension of 80 N. Which of the answers below is not a possible resonance frequency of the string? a) b) c) d) e) 100 250 300 400 900 Hz Hz Hz Hz Hz

21. Which of the following processes take place at constant temperature? a) b) c) d) e) adiabatic isothermal isobaric reversible expansion compression

22. A specimen of urea dissolved in water has a volume of 100 cm3 and a mass of 133 g. What is the density of the solution in kg/m3 ? a) b) c) d) e) 1.33 × 10-3 1.33 × 102 7.54 × 103 1.33 × 103 2.66 × 103

23. A balloon, of negligible weight, is filled with helium at a density of 0.181 kg/m3 . At this density it has a volume of 0.52 m3 . If the filled balloon is tied to a thread and allowed to float, what is the tension in the thread? (air = 1.29 kg/m3 , g = 9.8 m/s2 ) a) b) c) d) e) none of these 0.92 N 6.57 N 4.31 N 5.65 N

27. A container holds 2.0 mol of monatomic helium gas at 20 C. Assuming that helium behaves like an ideal gas, what is the average kinetic energy per atom in the gas? (R = 8.314 J/(K mol), kB = 1.381 × 10-23 J/K) a) b) c) d) e) 249 J 3.64 × 103 J 6.07 × 10-21 J 4.2 × 10-22 J none of the other answers

24. Two light bulbs are suspended from a beam attached to identical threads 10 cm long so that they hang about 1-2 cm apart. If you blow through the opening between them a) b) c) d) they move towards each other they move away from each other they are unaffected initially they move away from each other and then come together e) they move toward the blower

28. A sprinter is running on a level track with coefficient of friction 0.80 between her gym shoes and the track. What is the maximum horizontal acceleration she can achieve? (g = 9.8 m/s2 ) a) b) c) d) e) 7.84 m/s2 the answer depends on the mass of the sprinter 9.8 m/s2 6.14 m/s2 8.00 m/s2

29. What is the average angular speed of the earth about the sun? 25. Pressure is a) b) c) d) e) J/m Watts Watts/Area Force × Distance Force/Area a) b) c) d) e) 0.986 × 10-7 rad/s 0.896 degrees/day 4.78 × 10-6 rad/s 1.99 × 10-7 rad/s 1.986 degrees/day

26. Two spheres are made of the same metal and have the same radius, but one is hollow and the other is solid. Air trapped in the hollow sphere is allowed to escape through a small hole. The spheres are taken through the same temperature increase. Which sphere's diameter expands more? a) b) c) d) e) the solid sphere's the hollow sphere's they expand the same amount the spheres do not expand at all insufficient information is given

30. A 10 kg block is connected to a 40 kg block as shown in the figure. Neglect friction. A force of 50N pulls the blocks to the right. What is the acceleration of the 10 kg block? a) b) c) d) e) 0.5 2.0 5.0 1.0 4.0 m/s2 m/s2 m/s2 m/s2 m/s2

50 N 10 kg 40 kg

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