56 Various FE Exam Sample Problems

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1.

Ke =

[c] [n]2 [Ap

is the equilibrium constant for which of the reactions listed below? a. C +

D2 H

A3

b. C + 3D A e. A3 H C + D2

c. 3A d.

H

3A H

C + D3 C + 2D

2. The hydroxyl ion concentration of a solution with a pH of 4 is: a. 1 x 10 moles!L b. 1 x 10-10 moles!L c. 1 x 10 10 moles!L

d. 4 moles/L e. 4 x 10-10 moles!L

3.

The atomic weight for Ag = 107.88, for N = 14.0, for H = 1, for 0 = 16, and for S = 32. The reaction of 1 lb-mole of AgN0 3 will produce: a. 311.76 lbs Ag2S04 b. 155.88 lbs Ag2S04 c. 1 Troy Oz Silver

d.73.94lb-mole Ba(N03h e.64.11 lbs Barium

4. The combination of an alkyl radical with a hydroxyl group forms: a. and acid b. an aldehyde

d. an alcohol e. a carboxyl

c. a keytone

5. You are in charge of parts and must place the orders. You need 2000 parts per year and each part costs $25, and each time you order it costs you $50. Interest is 5%. How many times per year should you order parts? a. 1.25 b. 1.0 c. 11.0

d. 7

e. 3.5

6. LetS be the accumulated sum, P the principal, invested, i the effective interest rate per compounding period, and n the number of compounding periods. Which of the following formulas correctly relate these quantities? a. S = P(l+in) b. S = P(l+i)n c. S = P (I + n)i

d. S = P(l +in)n-1 e. S = P(l+i)n-1

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EXAM

7. Equipment is purchased for $6000. In 5 years the Salvage is expected to be $500. What is the book value of the equipment at the end of 3 years using SLD? a. $1400 b. $2700 c. $4200

d.$3300 e. $5400

8. With interest at 3.0% quarterly, $1000 will compound to how much after 5 years? a. $1203 b. $2048 c. $3698

d.$1806 e. $1492

9. A facility costs $300,000. What will be the monthly payment for principal and interest only for each $100,000 borrowed at 6.0% for 5 years? a. $2760 b. $3800 e. $8867

d.$1930 e. $1330

10. All of the following statements about work done on a process are true except: a. The work W depends on the process b. There can be an infinite number of specific heats between state points. c. If dQ amount of heat is transferred to W lb of a substance, the temperature change is dT. d. The change in internal energy is Q - W + aPV e. au depends only on aT. 11. For any ideal gas, the volume is doubled while the absolute temperature is halved. The pressure will be:

a doubled b. quardupled c. quartered d. halved e. no change

12. The net entropy change for an ideal gas that undergoes no temperature change while tripling its volume will be: a. ilS increases by a factor of 1.732 b. ilS decreases by a factor of 1.732 c. ilS increases by a factor of 3.0 d. ilS decreases by a factor of 3.0 e. ilS is constant

#nagsffEf_-fpeg#E_ AM S E S S I 0 N

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0 Fftp.3ff_fag-fff#dfgffgsfEsf3E ENGI NEERI NG EX A M

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13. One of the following statements is true of the theoretical diesel cycle: a. It has two isentropic, one isobaric and one isochoric process. b. It has one polytropic, two isobaric and one adaibadic process. c. It is totally polytropic d. It has no net change on the entropy of the universe e. It burns gasohol.

14. A liquid has begun to freeze. A salt is added to the liquid. When the salt is dissolved: a. The rate of solidification increases b. The rate of solidification becomes zero c. The liquid warms up d. Sublimation begins e. The salt settles to the bottom of the tank 15. What is the enthalpy of 5 lbs of a fluid occupying 10 feet3, with an internal energy of 1000 Btullb at a pressure of 1.5 atm? a. 5004.81 Btu b. 5040.81 Btu c. 36752 Btu

d. 2750.4 Btu e. 5000.28 Btu

16. Air expands isentropically such that its pressure is increased by 50%. The initial temperature is 150 oF. What is the final temperature. a. 168.42 OF b. 224.91 OF c. 179 OF

d. 610 OR e. 672.98 OR

17. What is the equation that must be satisfied by the coordinates of every point (x,y) that is equidistant from the origin and the point (1,1)? a. 2x + 2y = 1 b. X y 1 c.

X

2

+ y

2

d. 2x + 2y 0 y e. X + = 1

1

18. An Elementary game is played by rolling a die and drawing a ball from a bag containing 3 white and 7 black balls. The player wins by rolling a number less than 4 and drawing a black ball from the bag. What is the probability of winning on the 1st try? a. 13/20 b. 112 c. 7/20

d. 12/20 e. 711

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SIMULATED-es--gfEEEee_-da#E_ EXAM AM

19. Find the general solution to the following differential equation: y dxa. b.

X

=

+ Y) 2

k+

c. 2x 20. Let A

ydy=dy

y

=

=y

4y +

2xy +

c c

+ lny +

d. 2x e.

=

0 =

yekt +

c

= 2i- 4j + k, B = i +j - 3k, and C = -i +2j + 2k.

a. -5 b. 11 i + 7j + 6k c. 145 21.

X

lff(x) =

(A x B) ¡ (C x A) is ?

d. -13 e. 15

+ 2

C x- 2

c

and C = constant What is f(x) ? a. x + C b. 3C c. c

d. X-C e. 1

22. Which of the following is not true? a. b. c. d. e.

sin (x + y) =sin x cosy+ cos x sin y sin x I sin y = 2 sin 112 (x + y) I cos 112 (x - y) sin x + sin y = 2 sin 112 (x + y) cos l/2 (x - y) sin x - sin y = 2 cos l/2 (x + y) cos l/2 (x- y) sin (x - y) = sin x cos y - cos x sin y

23. If the function:

y = 3x

2

is integrated between the limits of x = -3 and x = +3, the result is:

a. 0 b. 108 c. 18

d. 54 e. 27

24. The Laplace Transform of a step function of magnitude a is: a. I (s +a) b. a/s c. (s +a)/ a

d. s/a e. s +a

c

c

x3 +

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25. For the circuit below, what is the voltage acrossthe 50Q resistor?

20Q 20Q

lOOV

a. 28.6V b. 83.3V c. 63.9V

d. 75.4V e. 46.8V

26. A parallel plate capacitor with area A, separation distance D, and separator permittivity e has a capacitance that is: a. directly proportional to A and e, and inversely proportional to D b. directly proportional to D and e, and inversely proportional to A c. inversely proportional to A and D, but directly proportional to e d. inversely proportional toe and D, but directly proportional to A e. inversely proportional to A and e, but directly proportional to D 27. For the op amp circuit below, the voltage is:

c R

>----L---a.

Vo

b.

Vo

Rf Vr Ri Rt Vr _Rt v2 R2 R1

c.

Vo

jffiL Vi Ri

Vo

j

d

ffiL Vi R(l + j ffiRC

e. vo

_L

RC

f Vidt

v 0

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EXAM

28. For the circuit shown below, the average power in watts dissipated in the balanced 3 phase load is:

z = 10

+ j5

VAC = 120 V

a. 2507 watts b. 3456 watts c. 5272 watts

d. 978 watts e. 1728 watts

29. The inductance of a coil of wire is calculated using one of the formulae below: a.

d L

b.

L

c.

L

N ll A 1

L

N

J..l

e.

N J..l2 A2

1

L

1

A2

N2 J..l A2 l

N2 ll A l

30. The switch in the circuit shown below has been closed for a long time. The expression to calculate L is:

a.

d. i

Io e-RL/t

b.

i

Io e- (R/L) t

e.

i

Io eR/Lt

i

Io e-t/RL

c.

i

Io et!-r

AM

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31. The power factor for the circuit below is most nearly:

40 j3

a. 0.2 b. 0.4 c. 0.6

d. 0.8 e. 0.9

32. If the load on a test material is carried beyond the Ultimate Tensile Strength of the material, the material will: a. Return to its normal configuration b. Permanently maintain its deformed condition c. Continue bending until stress failure occurs d. Expand lengthwise e. Continue bending until strain failure occurs 33. Wrought iron coated with magnesium is left to the elements. Over enough time what will happen? a. The iron and the magnesium will form an irreversible chemical bond b. Magnesium will act as an anode and preferentially corrode c. Magnesium will act as a cathode and preferentially corrode d. Iron will act as an anode and preferentially corrode e. Iron will act as a cathode and preferentially corrode

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rffE-EE_dtEgeda_#ggE-g3 SIMULATED EXAM AM

34. Given the temperature/composition diagram below, at what point will the components of the mixture be totally miscible?

"F

c

B

Weight %

a. A b.B c. c

d.D

e. E

35. Electrical and thermal conductivities for various materials differ relative magnitude and order. This phenomenon is due to: a. Electrons and heat travel at the same speed but encounter resistance differently. b. Heat and electrical energy are both wave forms that counteract each other's motion. c. Electrons and heat are conducted through metals by valence or free electrons and are influenced differently by lattice structure. d. Various materials have different densities. e. When heat and electrons move through a material, the material changes crystalline structure.

36. A 25000-lb truck is going up an incline of 4% and must maintain a speed of 40 mph. Neglecting friction, the engine must develop how much horsepower? a. lOOhp b. 109hp c. 106hp

d. 120hp e. 112hp

37. A vehicle is traveling at 50 mph on a level road and must come to a stop without its cargo sliding.

The coefficient of friction between the vehicle and the cargo is 0.6. What is the minimum amount of time required for vehicle to come to a complete stop. a. 10 sec b. 5.2 sec c. 7.6 sec

d. 2.8 sec e. 3.8 sec

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38. Find the maximum height in meters.

H

v 0 = 50

X

20 m

m/s

- - L,-20

T d. 110m

a. 90 m b. 96 m c. 101 m

e. 106m

39. The total distance traveled by the particle from t = 4 tot= 8 is:

t

a. 4v b. 8v c. lOv

d.O e. -8v

40. For a planet, acceleration due to gravity is g, and the radius of the planet is r.

If we move to a point 4r from the surface of the planet, the strength of the gravitational field will be: a. g b. 4g c. g/16

d. g/4 e. 16g

41. When the load is applied as shown, the edge BC of the block moves 0.03mm to the right. Determine the shear modulus. )I' 1. 2crn 20000N A

20crn

a. 50,300MPa b. 41,700MPa c. 38,600MPa

d. 32,500MPa e. 26,200MPa

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-8--3-3--3=-30--33--8-3 AM SIMULATED EXAM

42. For the beam below the maximum moment occurs at: 10000#

a. 12 ft from the left b. 8ft 8in from left c. 8 ft from the left d. 10 ft from the left e. at the center of the beam 43. Determine the maximum shear stress in the shaft.

2 in dia

500 Ft Lb

a. 3160 psi b. 4140 psi c. 7340 psi

d. 6520 psi e. 5730 psi

44. Brass cannot be used to reinforce concrete because: a. It is too dense b. It differs in shear capabilities c. It cannot carry enough load d. It does not stick to concrete e. It differs in coefficient of thermal expansion 45. What increase in termperature ("F) is necessary to cause a I in. dia 10 ft long steel rod with fixed ends to buckle. There is no initial stress. (a= 6.5 x 10-6) a. 66 d. 46 b. 26 e. 16 c. 56 46. For a fluid the number that relates inertial force to compressibility force is? a. Reynolds Number b. Mach Number c. Weber Number

d. Drag Number e. Froude Number

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0 Ft-cgffgfefgf-feEgfffEgo--g_ENGINEERING EXAM

Problems 47-50 Consider the diagram of the pumping system as shown: D

E F

c

A

and the following equations: a.

b.

d.

Q

Va = Cv V2gh

e.

Tj

hp out hp supplied

h xg

2g

c.

Pt + Hp = p2 + z2

w

w

47. Which equation applies to the fluid as it passes through point D? 48. Which equation applies to the fluid as it passes from point B to point C? 49. Which equation applies to the fluid as it passes from point D to pointE? 50. Which equation applies to the fluid as it passes from point A to point B? 51. For the system shown below, the pressure Pis? a. 5.46psi b. 6.87psi e. 4.72psi

d. 8.92psi e. 7.50psi

REVIEW

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EXAM AM ceegooetE_--sefgdge SIMULATED

52. What is the moment of the force F about the origin 0 in the system below?

All distances are in feet.

(13,6, 0)

k (1, 1, 0)

i

d.-17ft lbs e. 27k ft lbs

a. -7k ft lbs b. 7 ft lbs c. 17k ft lbs

53. If equilibrium must be maintained, what is the maximum value that F can have?

Coefficient of friction for all surfaces is 0.4 F

a. 90 lbs b. 95 lbs e. 100 lbs

d. 105 lbs e. 110 lbs

54. The magnitude of the reaction at B is: 100#

50 #/Ft

a. 34 lbs b. 44 lbs c. 74 lbs

d. 88 lbs e. 94 lbs

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55. They coordinate of the centroid of the area below is?

a. 3.4 b. 2.6 c. 4.2

d. 4.6 e. 5.0

y

1

8

6

3 4

56. The force system below is best described as: a. Nonconcurrent, noncoplanar b. Concurrent c. Coplaner d. Concurrent and coplaner e. 2 dimensional 50#

X

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