Problem 2.10
An object whose mass is 300 lb experiences changes in kinetic and potential energies owing to
the action of a resultant force R. The work done on the object by the resultant force is 140 lbf.
There are no other interactions between the object

1.57 Air temperature rises from a morning low of 42oF to an afternoon high of 70oF.
(a) Express these temperatures in oR, K, and oC.
(b) Determine the temperature change in oF, oR, K, and oC from morning low to afternoon high.
(c) What conclusion do you d

1.36 Liquid kerosene flows through a Venturi meter, as shown in Fig. P1.36. The pressure of
the kerosene in the pipe supports columns of kerosene that differ in height by 12 cm. Determine
the difference in pressure between points a and b, in kPa. Does the

Problem 2.14
An object whose mass is 100 lb falls freely under the influence of gravity from an initial
elevation of 600 ft above the surface of Earth. The initial velocity is downward with a
magnitude of 50 ft/s. The effect of air resistance is negligibl

Problem 2.13
Two objects having different masses are propelled vertically from the surface of Earth, each with
the same initial velocities. Assuming the objects are acted upon only by the force of gravity,
show that they reach zero velocity at the same he

Problem 2.2
Determine the gravitational potential energy, in kJ, of 2 m3 of liquid water at an elevation of
30 m above the surface of Earth. The acceleration of gravity is constant at 9.7 m/s2 and the
density of the water is uniform at 1000 kg/m3. Determi

Problem 2.5
A automobile weighing 2500-lbf increases its gravitational potential energy by 2.25 x 104 Btu in
going from an elevation of 5,183 ft in Denver to the highest elevation on Trail Ridge road in the
Rocky Mountains. What is the elevation at the hi

PART 3. Discrete Random Variables I. Basic definitions.
Deﬁ: Formoiilj a Wmciom variable X Co 0L kunci‘ion
“mi— Mufs uiameni] 03— 0s ‘SﬁMfiQ MINCE 8 i3 m {uni humloor,
Lei X: Mrnigj on q mnéon Jihoouo 05- acoinJ-u Tins;
Co q whining Unfining MmfFirgv S 0.

1.53 A cake recipe specifies an oven temperature of 350oF. Express this temperature in oR, K,
and oC.
KNOWN: Oven temperature is specified in oF.
FIND: Equivalent temperature in oR, K, and oC.
SCHEMATIC AND GIVEN DATA:
T = 350oF
ANALYSIS:
First convert te

1.52 Water in a swimming pool has a temperature of 24oC. Express this temperature in K, oF,
and oR.
KNOWN: Water is at a specified temperature in oC.
FIND: Equivalent temperature in K, oF, and oR.
SCHEMATIC AND GIVEN DATA:
T = 24oC
ANALYSIS:
First convert

1.42 Air is contained in a vertical piston-cylinder assembly such that the piston is in static
equilibrium. The atmosphere exerts a pressure of 101 kPa on top of the 0.5-meter-diameter
piston. The gage pressure of the air inside the cylinder is 1.2 kPa. T

1.41 As shown in Figure P1.41, air is contained in a vertical piston-cylinder assembly such
that the piston is in static equilibrium. The atmosphere exerts a pressure of 14.7 lbf/in.2 on top of
the 6-in.-diameter piston. The absolute pressure of the air i

1.39 Show that a standard atmospheric pressure of 760 mmHg is equivalent to 101.3 kPa. The
density of mercury is 13,590 kg/m3 and g = 9.81 m/s2.
KNOWN: Standard atmospheric pressure of 760 mmHg.
FIND: Show that 760 mmHg is equivalent to 101.3 kPa.
SCHEMAT

1.37 Figure P1.37 shows a tank within a tank, each containing air. Pressure gage A, which
indicates pressure inside tank A, is located inside tank B and reads 5 psig (vacuum). The U-tube
manometer connected to tank B contains water with a column length of

Problem 2.4
A construction crane weighing 12,000 lbf fell from a height of 400 ft to the street below during a
severe storm. For g = 32.05 ft/s2, determine mass, in lb, and the change in gravitational potential
energy of the crane, in ftlbf.
KNOWN: A cran

PART 3. Discrete Random Variables I. Basic definitions.
Deﬁ: Formoiilj a Wmciom variable X Co 0L kunci‘ion
“mi— Mufs uiameni] 03— 0s ‘SﬁMfiQ MINCE 8 i3 m {uni humloor,
Lei X: Mrnigj on q mnéon Jihoouo 05- acoinJ-u Tins;
Co q whining Unfining MmfFirgv S 0.

ORF245 PSET 0
2/5/2016
Jerey Zhang
Problem 1
It is important to note which indices all of the dierent summations sum over.
Observe that the rst 3 sum from i = 1 to i = n, and therefore they are equal.
The fourth term sums from i = 1 to i = n+1, while the

ORF245 PSET 1
2/12/2016
Jerey Zhang
Problem 1
a)
Using the new formula we have that the new mean is
n1
1
999
1
x(1 : n 1) + xn =
75 +
83 = 75.008
n
n
1000
1000
b)
The new average can be computed as:
x(1 : n + 2) =
=
=
=
=
n+1
1
x(1 : n + 1) +
xn+2
n+2
n+2

ORF245 PSET 2
2/19/2016
Jerey Zhang
Chapter 2, 26
a
This probability is 1 P (A1 ) = .88 .
b
This probability is P (A1 A2 ) = P (A1 ) + P (A2 ) P (A1 A2 ) = .06 .
c
We want to know P (A1 A2 A03 ) = P (A1 A2 )A03 ) = P (A1 A2 ) P (A1 A2 A3 ) = .05 .
d
This

1.31 A gas contained within a piston-cylinder assembly undergoes four processes in series:
Process 1-2: Constant-pressure expansion at 1 bar from V1 = 0.5 m3 to V2 = 2 m3
Process 2-3: Constant volume to 2 bar
Process 3-4: Constant-pressure compression to

?R08LEV\ 22.15
Known: Can moves down a surface that is inclined relative to the horizontal. The can is
acted upon by a constant force parallel to the incline and by the force of gravity.
Find: Can’s change in kinetic energy, in J, and whether it is increa

Problem 2.19
An object of mass 10 kg, initially at rest, experiences a constant horizontal acceleration of 4 m/s2
due to the action of a resultant force applied for 20 s. Determine the total amount of energy
transfer by work, in kJ.
KNOWN:
A system of kno

Problem 2.18
An object initially at an elevation of 5 m relative to Earths surface and with a velocity of 50 m/s
is acted on by an applied force R and moves along a path. Its final elevation is 20 m and its
velocity is 100 m/s. The acceleration of gravity

1.27 Three kg of gas in a piston-cylinder assembly undergo a process during which the
relationship between pressure and specific volume is pv0.5 = constant. The process begins with
p1 = 250 kPa and V1 = 1.5 m3 and ends with p2 = 100 kPa. Determine the fin

1.28 A closed system consisting of 4 lb of a gas undergoes a process during which the relation
between pressure and volume is pVn = constant. The process begins with p1 = 15 lbf/in.2, v1 =
1.25 ft3/lb and ends with p2 = 53 lbf/in.2, v2 = 0.5 ft3/lb. Deter

1.23 The specific volume of 5 kg of water vapor at 1.5 MPa, 440oC is 0.2160 m3/kg. Determine
(a) the volume, in m3, occupied by the water vapor, (b) the amount of water vapor present, in
gram moles, and (c) the number of molecules.
KNOWN: Mass, pressure,

Quiz 3
Answer all questions and work on each problem neatly. Show all your work to be able to
get full credit. The use of textbook or calculator are prohibited.
Name:
1. (4pts) Write an equation of the line passing through (5, 9) and perpendicular to the

Princeton University
Department of Operations Research
and Financial Engineering
ORF 245 Fundamentals of Engineering Statistics
Final Exam
May 22, 2008
7:30pm-10:30pm
PLEASE DO NOT TURN THIS PAGE AND START THE EXAM
UNTIL YOU ARE TOLD TO DO SO.
Instruction

Exam 2
Answer all questions and work on each problem in a clean and organized manner. There
are 8 questions and 60pts possible. Show all your work to receive full credit. You can only
use a non-graphing calculator. Textbook and notebook should be put away

Exam 2
Answer all questions and work on each problem neatly. There are 8 questions and 50pts
possible. Show all your work to be able to get full credit. The use of textbook or notes
are prohibited. You may use a non-graphing calculator.
Name:
1. (4pts) Fi

Math 103: College Algebra
Final Exam
Spring 2017
Name:
Directions:
1. Time Limit: 2 hours. Pace yourself accordingly. There are 10 questions and 100 points possible.
2. In order to receive full credit on any problem, you must show your work. Correct answe

Exam 3
Answer all questions and work on each problem in a clean and organized manner. There
are 8 questions and 70pts possible. Show all your work to receive full credit. You can only
use a non-graphing calculator. Textbook and notebook should be put away