what is the force on the large piston, neglecting
friction?
A. 3895 N
C. 4538 N
B. 4125 N
D. 5395 N
Pre board Examination in ESAS
Engineering Sciences and Allied Subjects
1.
2.
3.
4.
What retarding force is required to stop a 0.45 caliber
bullet of mass 20 grams and speed of 300 m/sec as it
penetrates a wooden block to a depth of 2 inches?
A. 17,716 N
C. 15,500 N
B. 19,645 N
D. 12,500 N
7.
A stone is thrown vertically
m/s. It will return to the
seconds?
A. 3.67 sec
C.
B. 5.02 sec
D.
upward at the rate of 20
ground after how many
4.08 sec
2.04 sec
A ball is thrown upward with an initial velocity of 50
ft/s. How high does it go?
A. 39 ft
B. 30 ft
C. 20 ft
D. 45 ft
8.
A golf weighs 1.6 ounce. If its velocity immediately
after being driven is 225 fps, what is the impulse of the
blow in slug-feet/sec?
A. 0.855
C. 0.758
B. 0.812
D. 0.699
9.
A man travels in a motorized banca at the rate of 15
kph from his barrio to the poblacion and come back to
his barrio at the speed of 12 kph. If his total time of
travel back and forth is 3 hours, the distance from the
barrio to the poblacion is:
A. 10 km
C. 20 km
B. 15 km
D. 25 km
It takes an airplane one hour and forty-five minutes to
travel 500 miles against the wind and covers the same
distance in one hour and fifteen minutes with the wind.
What is the speed of the airplane?
A. 342 mph
C. 450 mph
B. 375 mph
D. 525 mph
A flywheel of radius 14 inches is rotating at the rate of
1000 rpm. How fast does a point on the rim travel in
ft/sec?
A. 122
B. 1456
C. 100
D. 39
10. A 50,000 N car travelling with a speed of 150 km/hr
rounds a curve whose radius is 150 m. Find the
centripetal force.
A. 70 kN B. 25 kN C. 65 kN D. 59 kN
5.
A bullet if fired vertically upward with a mass of 3
grams. If it reaches an altitude of 100 m, what is its
initial velocity?
A. 54.2 m/s
C. 52.1 m/s
B. 47.4 m/s
D. 44.2 m/s
11. In how many years will the amount of P10,000 triple if
invested at an interest rate of 10% compounded per
year?
A. 6
B. 8
C. 12
D. 15
6.
In a hydraulic press, the small cylinder has a diameter
of 8 cm, while the larger piston has a diameter of 22
cm. If the force of 600 N is applied to the small piston,
12. What is the accumulated amount after three years of
P6,500 invested at the rate of 12% per year
compounded semi-annually?
A. P9,221
C. P9,550
B. P9,268
D. P9,670
13. Today an investor withdraw P50,000.00 representing
the accrued amount of his investment that matured. If
he invests at 10% semi-annually for 10 years, how
much did he invest in pesos?
A. P25,200
C. P18,845
B. P21,500
D. P17,600
14. Today a businessman borrowed money to be paid in
10 equal payments for 10 quarters. If the interest rate
is 10% compounded quarterly and the quarterly
payment is 2,000 pesos, how much did he borrowed?
A. P19,700
C. P20,400
B. P18,750
D. P17,500
19. A VOM has a selling price of P400. If its selling price
is expected to decline at a rate of 10% per annum due
to obsolescence, what will be its selling price after 5
years?
A. P213.10
C. P200.00
B. P249.50
D. P236.20
20. ABC Corporation makes it a policy that for every new
equipment purchased, the annual depreciation cost
should not exceed 20% of the first cost at any time
without salvage value. Determine the length of service
life if the depreciation used is SYD method.
A. 9 yrs B. 10 yrs C. 12 yrs D. 19 yrs
21. An ideal gas at 0.60 atmospheres and 87°C occupies
0.450 liter. How many moles are in the sample? (R =
0.0821 atm/mole K).
A. 0.0002 mole
C. 0.0198 mole
B. 0.0378 mole
D. 0.0091 mole
22. What is the atmospheric pressure on a planet if the
absolute pressure is 100 kPa and the gage pressure
is 10 kPa?
A. 10 kPa
C. 80 kPa
B. 100 kPa
D. 90 kPa
15. What is the present worth of a P500 annuity starting at
the end of the third year and continuing to the end of
the fourth year, if the annual interest rate is 10%?
A. P717.16
C. P771.16
B. P781.16
D. P777.16
16. A loan for P50,000 is to be paid in 3 years at the
amount of P65,000. What is the effective rate of
money?
A. 10%
B. 12%
C. 13%
D. 15%
17. If P1,000 accumulates to P1,500 when invested at a
simply interest for three years, what is the rate of
interest?
A. 16.67%
C. 13.33%
B. 16.33%
D. 13.99%
18. How much must you invest today in order to withdraw
P2,000 annually for 10 years if the interest rate is 9%?
A. P12,835
C. P12,358
B. P12,538
D. P12,112
23. To ascertain the temperature of flue gases, 1.8 kg of
copper of specific heat 0.395 kJ/kg-°K was suspended
in the flue until it attained the temperature of the
gases, and then dropped into 2.27 kg of water at
20°C. If the resultant temperature of the copper and
water was 37.2°C, find the temperature of the flue
gases.
A. 273.8°C
C. 267.9°C
B. 279.6°C
D. 276.9°C
24. What is the resulting pressure when one pound of air
at 15 psia and 200°F is heated at constant volume to
800°F?
A. 52.1 psia
C. 28.6 psia
B. 15 psia
D. 36.4 psia
25. What is the change in internal energy of air (assumed
to be an ideal gas) cooled from 1000°F to 200°F?
A. 180 BTU/lbm
C. 700 BTU/lbm
B. 800 BTU/lbm
D. 140 BTU/lbm
26. If an initial volume of an ideal gas is compressed to
one-half its original volume and to twice its original
temperature, the pressure:
A. doubles
C. remains constant
B. quadruples
D. halves
27. If air is at pressure, p, of 3200 lbf/ft2, and at a
temperature, T, of 800°R, what is the specific volume,
v? (R = 53.3 ft-lbf/lbm-°R and air can be modeled as
an ideal gas)
A. 14.2 cu.ft/lbm
C. 11.2 cu.ft/lbm
B. 13.3 cu.ft/lbm D. 9.8 cu.ft/lbm
28. A transportation company specializes in the shipment
of pressurized gaseous materials. An order is received
for 100 liters of a particular gas at STP (32°F and 1
atm). What minimum volume tank is necessary to
transport the gas of 80°F and a maximum pressure of
8 atm?
A. 16 liters
C. 10 liters
B. 14 liters
D. 12 liters
32. If the ultimate shear strength of a steel plate is 42,000
lb/in2, what force is necessary to punch a 0.75 in
diameter hole in a 0.625 in thick plate?
A. 63,000 lbs
C. 61,850 lbs
B. 68,080 lbs
D. 66,800 lbs
33. What modulus of elasticity in tension is required to
obtain a unit deformation of 0.00105 m/m from a load
producing a unit tensile stress of 44,000 psi?
A. 42.300 x 106 psi C. 43.101 x 106 psi
B. 41.202 x 106 psi D. 41.905 x 106 psi
34. The yield strength of a structural steel member is
36,000 lbf/in2. The tensile stress is 8240 lbf/in2. What
is the equivalent of the yield strength in MPa?
A. 150 MPa
C. 100 MPa
B. 350 MPa
D. 250 MPa
35. A steel train rails is 400 meters long, in March it is at 30°C and 40°C in July. What is the change in length in
mm? K for steel = 11.7 x 10-6 m/m-°C.
A. 421 mm
C. 328 mm
B. 303 mm
D. 503 mm
36. Calculate the elongation of a solid steel shaft of SAE
1030 carbon steel 2 7/8 inches in diameter by 5 ft in
length supporting a direct tension load of 60.000 lbs.
The factor of safety is set at 4, stress concentration
factor k = 1 and yield strength of 40.000 psi.
A. 0.020
C. 0.0185
B. 0.015
D. 0.0166
29. Given a steam pressure of 900 lb/ft2, the temperature
of 300°F, specific volume of 5.8 ft 3/lb. If the specific
enthalpy is 9500 lb-ft/lb, what is the internal energy of
the system?
A. 4400 ln-ft/lb
C. 3600 ln-ft/lb
B. 3900 ln-ft/lb
D. 4280 ln-ft/lb
30. A steam engine operates between 150°C and 550°C.
What is the theoretical maximum thermal efficiency?
A. 99%
B. 27%
C. 49%
D. 73%
31. A steel tie rod on bridge must be made to withstand a
pull of 5000 lbs. Find the diameter of the rod assuming
a factor of safety of 5 and ultimate stress of 64,000
lb/in2.
A. 0.75 in
C. 0.84 in
B. 0.71 in
D. 0.79 in
37. Compute for the induced/compressive stress, in kPa,
of a steel solid shafting of 50 mm diameter and 800
mm in length that is subjected to an increase of
temperature by 80 deg. C. Use k for steel = 0.0000119
m/m-°C. (E = 30,000,000 psi = 206,768 MPa)
A. 181,816
C. 218,182
B. 242,816
D. 196,860
38. A steel rod 30 mm in diameter and 800 mm long has
an allowable elongation not to exceed 1.5 mm, find
the allowable load in kN.
A. 274 N
C. 316 N
B. 248 N
D. 236 N
39. A rectangular metal bar has a width of 10 mm and can
support a maximum compressive stress of 20 Mpa;
determine the minimum breadth of the bar loaded with
a force of 3 kN.
A. 15 mm
C. 13 mm
B. 21 mm
D. 14 mm
47. How many grams of mercury (Hg = 200.6 amu) are
there in 7.18 moles?
A. 0.036 g
C. 312 g
B. 1440 g
D. 1004 g
40. A constant force of 150 N is applied tangentially to a
wheel of diameter 140 mm. Determine the work done,
in joules, in 12 revolutions of the wheel.
A. 0.070 J
C. 792 J
B. 126 J
D. 700 J
48. Calculate the volume occupied by 50.6 g of HCI at
STP. H = 1.008 amu and Cl = 35.45 amu.
A. 83.2 L
C. 27.4 L
B. 31.1 L
D. 1.38 L
41. Calculate the number of moles of cobalt (Co) atom in
seven billion Co atoms.
A. 1.16 x 10-14 moles
B. 1.61 x 10 -13 moles
C. 1.16 x 10-13 moles
D. 1.43 x 10-14 moles
42. Zinc (Zn) atom has atomic mass of 65.39. Calculate
the number of atoms present in 4.22 g of zinc (Zn).
A. 3.75 x 10 22 Zn atoms
B. 3.93 x 10 22 Zn atoms
C. 3.89 x 1022 Zn atoms
D. 4.04 x 1022 Zn atoms
43. A certain sample of natural gas contains 0.377 mole of
ethane (C2H6), 7.48 mole of methane (CH4) and 0.134
mole of propane (C3H8). Calculate the partial pressure
of propane gas, if the total pressure of the gases is
1.79 atm.
A. 1.68 atm
C. 0.94 atm
B. 0.084 atm
D. 0.03 atm
44. Caffeine (C8H10N4O2) is a stimulant found in tea and
coffee. What is its empirical formula?
A. C4H5N2O
C. C2H8NO3
B. C5H3NO2
D. C8H10N4O2
49. Determine the final pressure of a gas, initially at 3.0 L,
2.2 atm and 72°C, which undergoes a change so that
its final volume and temperature are 0.9 L and 41°C.
A. 7.66 atm
C. 4.18 atm
B. 6.67 atm
D. 5.73 atm
50. What is the percent composition by mass of oxgen (O)
element in sulfuric acid (H2SO4)? H = 1.008 amu, S =
32.07 amu and O = 16.00 amu.
A. 62.25%
C. 64.45%
B. 63.34%
D. 65.25%
51. A horizontal cord 5 m long has a mass of 2.5 grams.
What must be the tension in the cord if the wavelength
of a 120 Hz wave on it is to be 50 cm?
A. 1.50 N
C. 2.50 N
B. 1.80 N
D. 4.30 N
45. Calculate the mass of a piece of platinum metal with a
density of 34.1 g/cm3 and has a volume of 5.2 cm3.
A. 17.732 g
C. 177.32 g
B. 1773.2 g
D. 1.7732 g
46. Calculate the number of molecules of oxygen gas
present in 1.5 L of air at STP. Assuming that air
contains 31% O2, 67% N2 and 2% Ar, all by volume.
A. 1.87 x 10 23 molecules
B. 4.18 x 10 24 molecules
C. 2.81 x 1023 molecules
52. What is the relative intensity level of sound in decibels
if its intensity is 3 x 10-7 W/cm2?
A. 94.8
B. 78.7
C. 80.5
D. 75.4