Latest Greatest Honors Physics Practice Final It is with bittersweet anticipation that I present you with this: your last practice test. We have learned quite a bit this year and I will miss not having you in physics next year (unless of course you fail this final miserably and retake physics!) On the actual final you will have 2 hours to do 50 Multiple Choice problems, which gives you about 2 ½ minutes per problem. Each problem is worth 4 pts for a total of 200 pts. Use your PJ! Make sketches for each problem and show your work! Failure to show work may result in loss of credit.

TRIANGLES, SLOPES, SICK FRUIT AND OTHER MATH STUFF

1. An alien vessel has been detected in space. Station A in Washington State sees the ship at point A against the starry background as shown in the star map. At the same time 5,900 miles away European astronomers at station B see the ship at point B. The angular position can be found by referring the numbers in minutes of arc superimposed on the map. Remember, 60 minutes of arc = 1 deg, and θ is half the shift you see in the sky. The distance d to the alien vessel is

A) 5.6 x 104 mi D) 6.8 x 106 miB) 1.7 x 106 mi E) 3.4 x 106 miC) 2.7 x 106 mi

2. What is 8.0/9?

A) 0.8B) 0.9C) 0.89D) 0.889E) 0.8889

3. In an experiment a student measures b1 to be 75.4 cm. b2 is measured to be 71.54 cm. What is b1 - b2?

A) 4 cm B) 4.0 cmC) 3.9 cm D) 3.86 cm E) 3.86 cm exactly

5,900 mi

EARTH

d

θ

B A

Position in minutes of arc

MAP

Ship as seen by Station B

Ship as seen by Station A

8’ 10’ 12’ 14’ 16’

1

4. You weigh 142 lbs, standing on your bathroom scale. You pick up a huge 0.45 lb chinchilla. What will the bathroom scale read now?

A) 142.45 lbsB) 142.5 lbsC) 142 lbs D) 143 lbsE) 1.4 x 102 lbs

5. What is the slope of the incline of this right triangle with angle θ = 22o?

A) 0.93B) 0.37C) 0.40D) 0.44E) blue

6. An astronaut does a falling boot ticker tape lab on Mars and finds that the acceleration is 0.412 cm/tic2. Convert this acceleration to m/s2 given that there are 30 tics in a sec.

A) 7.42 m/s2

B) 3.71 m/s2

C) 1.86 m/s2

D) 1.61 m/s2

E) 0.95 m/s2

LIGHT

7. Somehow two rays follow this bizarre path from a tiny bulb at point A to your eyes. Based on the information your eyes receive, your brain will know that the bulb is located at point _______.

A) AB) BC) CD) D

8-9: An oily substance has an index of refraction of 1.4 .

8. What is the speed of light in this material?A) 4.2 x 108 m/s D) 2.1 x 108 m/sB) 0.71 m/s E) 1.7 x 108 m/sC) 3.0 x 108 m/s

9. This oily substance is poured onto water (n = 1.333) in a glass making a flat interface between the two substances. If θ1 = 57o in oil, what is θ2 in the water?

A) 88o D) 30o

B) 53o E) 0.88o

C) 62o

Not to Scale!

θ = 22o

Point D

Point B

Eyes

Point A

Object

Point C

2

10. A light ray travels along the path shown, from medium 1 to medium 2. The speed of light will ___________________ as the beam changes mediums.

A) decreaseB) increaseC) remain constant

11. Which of the following best describes the image?A) Inverted, enlarged, realB) Inverted, reduced, virtualC) Erect, enlarged, virtualD) Inverted, reduced, realE) Trick question! There is no image!

12. Which of the following best describes the image formed by the concave mirror?

A) Inverted, enlarged, realB) Erect, enlarged, realC) Erect, enlarged, virtualD) Inverted, reduced, realE) Trick question! There is no image!

13. Which of the following statements is true about rainbows:i. You need to look toward the sun to see a rainbowii. The blue arc will always be larger than the red arciii. Your eye can never get to the end of a rainbow

A) i. D) ii. and iii.B) ii. E) i., ii., and iii.C) iii.

14. The accompanying picture is a top view of a room with a candle in it. The room has two full height floor to ceiling walls (shown in grey) inside of it. All of the walls in the room are flat black (meaning that they reflect no light) except for the 2 mirror walls. The only light in the room comes from the candle. Which of the following points is in darkness?

A) Only AB) Only BC) Only CD) A and CE) None: all the

points receive light

Medium 2

Medium 1

Object f c

2f f 2fObject f

Point A

Point B

Point C

Mirror walls

Candle

3

15. There is a candle at one end of a large box and a sheet of film on the opposite wall as shown. You expose the film for a brief period of time, then you develop it. What pattern will form on the developed film?

A) An inverted image of the candleB) An erect image of the candleC) A virtual image of the candleD) No image of the candle

16. What is the general requirement for an optical device to form an image?

A) You must have a lens or mirrorB) You must have a pinholeC) You must have a one-to-many mapping between points on the object and points on the imageD) You must have a one-to-one mapping between points on the object and points on the imageE) You must have a one-to-infinite mapping between points on the object and points on the image

KINEMATICS (MOTION)

17. Which of the following variables are relative?

i. position A) i only D) i and ii onlyii. velocity B) ii only E) ii and iii onlyiii. acceleration C) iii only

18. A runner accelerates uniformly from 3.0 m/s forward to 15.0 m/s forward in 6.0 s. What is her acceleration?

a. 0.50 m/s2 D) 2.67 m/s2

b. 1.0 m/s2 E) None of the abovec. 2.0 m/s2

19-20: A car drives forward 120 miles due south from the origin (x = 0). Then it returns home, straight back to the origin. The total trip took 4.0 hours.

19. What was the total displacement of the car?A) 0 mi D) None of the aboveB) 120 miC) 240 mi

20. What was the average velocity of the car?A) 0 mi/hr D) 60 mi/hr forwardB) 30 mi/hr forward E) None of the aboveC) 40 mi/hr forward

Film

4

21. Irene and Eva are having a race. Take a look at their velocity versus time graphs. Who covers the greatest overall distance?

a) Ireneb) Evac) Neither, they travel the same distance

22-23: A rocket executes the motion shown in thisvelocity vs time graph.

22. What is the rocket’s average acceleration for the interval shown?A) +120 m/s2

B) –120 m/s2

C) +90 m/s2

D) –90 m/s2

E) Can’t be determined from this graph.

23. What is the rocket’s displacement for the interval shown?A) 6.0 x 105 m D) 3.0 x 104 mB) 4.8 x 104 m E) Can’t be determined from this graph.C) 6.0 x 104 m

24. Adam is off exploring an abandoned mine. He falls from rest for 0.80 seconds into a pit. How fast was he going on impact?

A) 48 m/s D) 3.1 m/sB) 7.8 m/s E) None of the aboveC) 3.9 m/s

DYNAMICS (FORCES)

25-26: You (55 kg) are lying against the wall of a gravitron of radius R = 12 m that is rotating with a constant rim speed of v = 15 m/s. Assume that you are at the high point.

25. What is the magnitude of your acceleration?

A) 1.9 m/s2 D) 9.8 m/s2

B) 9.0 m/s2 E) 19 m/s2

C) 9.6 m/s2

26. What is the magnitude of the normal force acting on you? (Don’t do interim rounding!)

A) 0 D) 9.8 NB) 4.9 x 102 N E) 19 N

v vs t Eva

Irene

1 3 4 2 0

1

2

3

4

t(s)

V (m/s)

0

v vs t

20 15 10

600

1200

1800

2400

v (m/s)

5t (s)

SIDE VIEW m

R

5

C) 9.0 N27. Sameera and Diya are arguing over which is more fun: studying physics or getting a root canal. Anyway, things get out of hand and Sameera gives Diya a shove, causing Diya to tumble over. Which of the following can we be sure of? A) Sameera pushed on Diya harder than Diya pushed back on Sameera

B) Diya pushed on Sameera harder than Sameera pushed back on DiyaC) Sameera pushed on Diya with exactly the same magnitude of force that Diya pushed on Sameera

28. A bowling ball rolls to the right on a horizontal surface with constant velocity. (Assume friction is negligible.) Which of the following diagrams best represents the forces that act on the ball in this circumstance?

29. Chirag is running to the right over level ground, and slowing down. Which of the following diagrams best represents the forces that act on Chirag in this circumstance?

30-31. You (m = 55.5 kg) are standing in an elevator on a bathroom scale. The elevator is accelerating downward with an acceleration of 4.90 m/s2. Let g = 9.80 m/s2.30. What will the bathroom scale read?

A) 272 N D) 55.5 kgB) 544 N E) None of the aboveC) 816 N

31. You will feel ______________________ your normal weight.A) heavier thanB) lighter than

f

f

f

mg

FN

E)

FP

mg

FN

C)

FP

mg

FN

D)

FP

mg

FN

B)

FP

mg

FN

A)

f

ff

f

FP

mg

FNE)

FP

mg

FNC)

mg

FND)

FP

mg

FNB)

FP

mg

FNA)

6

C) the same asWORK, MOMENTUM AND ENERGY

32. You go to the gym and get hit in the chest by a 8.0 kg medicine ball traveling at 3.0 m/s relative to you. What is the ball’s kinetic energy relative to you?

A) 36 J D) 24 kg m/s toward youB) 36 J toward you E) 0: you are one with the ballC) 24 kg m/s

33-34. In the excitement of the approach of summer you park your car on a small hill and once again forget to set your parking brake. By the time your 2500 kg Cadillac reaches level ground it is traveling at 4.5 m/s. Assume friction and air resistance acting on the car are negligible!

33. What is the magnitude of the horizontal force must you deliver to the caddy to stop it on level ground in a time of 56 seconds?

A) 1.7 x 102 N D) 2.5 x 104 NB) 2.0 x 102 N E) 5.0 x 104 NC) 1.1 x 104 N

34. What is the magnitude of the horizontal force must you deliver to the caddy to stop it on level ground in a distance of 450 m?

A) 1.7 x 102 N D) 2.5 x 104 NB) 2.0 x 102 N E) 56 NC) 1.1 x 104 N

35-36: You are pulling a 50.0 kg sled (initially at rest) along a frictionless frozen lake, with a constant force F = 74 N directed at an angle of 35o above the horizontal. You pull for a horizontal displacement of 4.0 m. (Assume there is no friction acting on the sled but there is friction between your crampon clad boots and the ice.)

35. Find the amount of work you have done on the sled.A) 2.0 x 103 J D) 3.0 x 102 JB) 1.6 x 103 J E) 2.4 x 102 JC) 1.7 x 102 J

36. Find the change in KE of the sled.A) 2.0 x 103 J D) 3.0 x 102 JB) 1.6 x 103 J E) 2.4 x 102 JC) 1.7 x 102 J

37. You (m = 55 kg) are on roller skates on level ground traveling at 12 m/s heading toward a ramp that will launch you straight up. How high up from the ground will you go? Friction and air resistance are negligible.

A) 7.3 m D) 0.14 mB) 5.4 m E) Problem cannot be solved because acceleration is not constant.

m

m vo = 12 m/shf = ?

7

C) 0.61 m38. You (m = 55 kg) slide down a giant water slide starting from rest, and get launched through the air as shown into a lake. What will your final speed be just before you hit the lake? Let h1 = 15 m and h2 = 9 m. Assume that there is no friction or air resistance.

A) 4.7 x 102 m/sB) 2.9 x 102 m/sC) 22 m/sD) 17 m/sE) 13 m/s

39-40: A 2.0 kg pistol fires a 1.0 g bullet (watch units!) with a muzzle speed of 1200 m/s. The bullet then strikes a 6.0 kg wooden block resting on a horizontal frictionless surface. The block and the embedded bullet then slide across the surface.

39. The explosive charge (gunpowder) in the pistol acts on the bullet for 0.0010 s. What is the average force exerted on the bullet while it is being fired?

A. 7.2 x 106 N D. 1000 NB. 7200 N E. 1.2 x 103 NC. 120 N

40. What is the speed of the “bullet + block” system immediately after the bullet is embedded in the block?

A. 0.2 m/s D. 25 m/sB. 0.20 m/s E. None of the aboveC. 0.17 m/s

ELECTRICITY

41. If the voltage across R1 is 9 V, what is the resistance of R1?

A) 1 ΩB) 2 ΩC) 3 ΩD) 4 ΩE) 9 Ω

h2

h1

2 A

R1

12 V

R3R2 = 3 Ω

8

Problems 42-44. Consider the two circuits with identical resistors.

42. Which of the following statements about current is true?

A) The current through all the resistors is the same.B) The current through the battery in circuit 1 is smaller than the current through the battery in circuit 2.C) The current through each resistor in circuit 1 is greater than the current through each resistor in circuit 2.D) None of the above.

43. Which of the following statements about voltage is true?

A) The voltage across each resistor in circuit 1 is greater than the voltage across each resistor in circuit 2.B) V3 + V4 = 9 V.C) The voltage across the resistors in circuit 2 are equal to each other.D) All of the above.

44. Suppose all of these resistors are light bulbs. Which of the following statements are true?A) If R1 is unscrewed R2 will stay on. D) All of the above B) If R4 is unscrewed R3 will stay on. E) None of the aboveC) If R3 is unscrewed R1 will turn off.

45. A resistor has this V vs I graph. What is its resistance?

A) 0.40 ΩB) 0.30 ΩC) 3.3 ΩD) 2.5 ΩE) Cannot be determined from graph

R4

R3

R2

Circuit 2 Circuit 1

9 V 9 V R1

0.80

0.60

0.40

0

V vs I

2.0 1.5 1.0

0.20

V (volts)

0.50I (amps)9

UNIVERSAL GRAVITY

46. Black holes are scary because

i. Once you pass inside the event horizon, you can never come backii. They suck everything into themiii. They are dark

A) i. only D) ii. and iii.B) ii. only E) i., ii. and iii.C) i. and ii.

47. Astrology claims that the position of the planets in the sky when you are born can influence your future. Let’s see if this effect could be purely gravitational. Let’s say that at the time of your birth your mom had a mass of 62 kg, and was 0.50 m away from you. Neptune has a mass of 1.0 x 1026 kg and was 4.5 x 1012 m away from you. What is the ratio the gravitational force on you by Neptune to the gravitational force on you by your mom? A) 1.3 x 1050 D) 0.42B) 1.8 x 1011 E) 0.020C) 2.4

48. For an object on the surface of the Earth, the acceleration due to gravity must be:

A) 9.814 m/s2

B) GMEARTH/REARTH

C) GMEARTH/REARTH2

D) REARTH/GMEARTH

E) None of the above

49-50. You are stranded on the asteroid Ceres with a mass Mc = 9.0 x 1020 kg, and a radius Rc = 4.7 x 105 m.

49. What is orbital speed for a surface skimming orbit?

A) 1.3 x 105 m/sB) 2.7 x 104 m/sC) 3.6 x 102 m/sD) 0.53 m/sE) None of the above

50. What is escape speed from the surface of Ceres?

A) 1.3 x 105 m/sB) 3.6 x 102 m/sC) 0.53 m/s D) 8.5 x 10-6 m/sE) None of the above

Ceres

10

Hint: It had to happen sometime!

11