Practice Final Exam Physics 21
Spring 2012 Solutions
P1. Giambattista 1383: An automobile driver fills his 18.9L steel gasoline tank in the cool of
the morning when the temperature of the tank and the gasoline is 15C and the pressure is 1.0
atm. The can
Which of the following statements about a charge
moving through a static uniform magnetic field is always
true?
1. It will experience no force
2. It may experience a force that will change its
speed
3. It may experience a force but its speed will
not chan
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PreLab 2: Simple Circuits
Please print this exercise and answer the following questions with your work group BEFORE
As shown in the figure, a metal bar is in contact with a
pair of parallel rails and is in motion with a downward
velocity of magnitude v. A uniform magnetic field is
present, directed downward as shown. The direction of
the induced current through the res
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PreLab 1: EField and Equipotential Lines
Please print this exercise and answer the following questions with your wo
Electric Potential
New Topic
Learning Objectives: Electric Potential
Define electric potential energy and electric
potential
Calculate electric potential of point charges,
charged spheres, and parallel plate capacitors
Use different graphical representati
Electric Potential Energy
New Topic
Learning Objectives: Electric Potential
Define electric potential energy and electric
potential
Calculate electric potential of point charges,
charged spheres, and parallel plate capacitors
Use different graphical repre
Announcements
Exam review (one on one) with Prof. M. times
TBA
Lab report due Tuesday 2/28 midnight
No Warmup today (I will push the warmups
back)
Fridays quiz on Ch. 23
Please have the Prelabs on your tables
Magnetism
New Topic
Learning Objectives:
Electromagnetic Induction
New Topic
Learning Objectives: Induction and
EM Waves
Describe the circumstances under which
changing magnetic fields lead to induced
currents
Explain and illustrate how the movement of a
conductor through a magnetic field lead
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PreLab 3: Physical Optics
Please print this exercise and answer the following questions with your work group BEFORE
Magnetic Force on a CurrentCarrying Wire
If a magnetic field acts on one charged particle, what about many
charges flowing through a wire  a current?
For a currentcarrying wire of
length L perpendicular to a
magnetic field B:
v
L
If the wire is at a
Announcements
WELCOME BACK!
This week we will cover Ch. 17
Fridays quiz will be on Ch. 25
Lab 3 will be on Tuesday 3/28
Electromagnetic Waves Recap
New Topic
Induced Electric Fields
Eddy currents show us:
When a stationary conductor sits in a changing ma
Visualizing electric potentials:
Equipotential Surfaces
Contours of constant potential
all points on the contour have the same value of V
Equivalent to contours of constant elevation on a
topographical map
no work is required to move charge along an e
Resistors in parallel
Current splits up into several branches.
However, total current must be conserved!
currents add:
But the voltage is the same across each
resistor:
I = I1 + I2 + I3
V = V1 = V2 = V3
From Ohms Law, V = I R, we find:
V
V V V
Req R1 R
Electric Current
New Topic
Learning Objectives: Current,
Resistance and Batteries
Explain how charges move through a
conductor
Apply a basic model for current, including
conservation of current
Explain how a battery creates are current in
a circuit
Un
HANDOUT

on
Circuits
Giovani Angelini
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"
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'
"
2
@
A
=
bulb
Consider
.
MORE
GOES
LIGHT
LIGHT
it
THROUGH
Resistant
a
as
AND
IT
MORE
GENERATED
g#=
It
Battery
DV
maintains
.
between
oh
+0
and
certain
a
( usually put
@
Resistance
=

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1
cfw_
Useful Formulae and Constants Sheets 1 and 2
Unit Definitions
C
J
, V =
A=
s
C
V
=
A
J s
C
T=
,
1
1
1 Q2
QV CV 2
2
2
2 C
1
0 E 2 Vol .
2
U
C
C2
F=
=
V
J
Capacitors
V s
Wb
=
m2
m2
1
Series:
Coulomb Force
k
9
1/ 4
12
2
Parallel:
2
C /(N m )
1.67 10
Fchar
Centripetal Force Lab
Tezita Watts & John Riordan
02/28/12
Lab Procedure
1. Put on safety glasses.
2. Clamp the apparatus to the tablet using the Cclamp provided.
3. Detach the spring and verify that the freely hanging mass M is suspended directly
above
Practice Exam Phy 21
Spring 2012
Solutions
1. Rocket Launch: Walker 256 (Soln 63) (*): A model rocket rises with constant
acceleration to a height of 3.2 m, at which point its speed is 26.0 m/s. (a) How much time
does it take for the rocket to reach this
Example: baseball throw, slide 6
Range
R= (initial velocity/g) * (sin2theta )
Height
H= initial y + (v0^2*sin^2theta)/2g
Example: Baseball batting
V = v0 v0 cos theta0= 40.3
Example: Still Rings
no forces in the xdirection, in ydirecion
t1=t2=t
linear
PHYS 1021 University Physics I Syllabus for Spring 2012
Department of Physics
The George Washington University
PHYS 1021 University Physics I
Spring Semester, 2012
(Section 10)
Course Time:
Monday and Wednesday 12:45 2:00 PM
Course Place:
101 Corcoran Hal
Math 1232
April 19, 2016
Practice Final Exam
1) Calculate the Taylor Series for cosx about a 0
2) Find the series radius and interval of convergence. Test the end points.
2n
x 3 n
n0
5n
3) Find the sum: n2 1 n1
3 n1
7n
.
4) Integrate:
a) x 1 x dx
b)
dx
Math 1232
April 28, 2016
Practice Final Exam Solutions
1) Calculate the Taylor Series for cosx about a = 0
f n x
n
f n 0
n!
f n 0/n!
0
fx = cos x
f0 = cos 0 = 1
1
1
1
f x = sin x
f 0 = sin 0 = 0
1
0
2
f x = cos x
f 0 = cos 0 = 1
2
12
3
f x = sin x
f 0 =
Gerald Feldman  Physics 1021/25 Spring 2016
Practice Exam #2 Spring 2016
1
1 pt
Water skiers often ride to one side of the center line of a boat,
as shown in the figure below.
1 pt
A waterskier lets go of the tow rope upon leaving the end
of a jump ramp
Mark Reeves  Physics 1021/1025 Spring 201
PHYS 21/25: Practice Final Exam (Spring 2015)
1
4 pt The pV diagram is shown for a heat engine. The
heat ow for two of the stages is shown in the gure. The
horizontal axis is scaled in units of V = 200 cm3 and th
Gerald Feldman  Physics 1021/25 Spring 2016
Practice Exam #1 Spring 2016
1
4 pt
You jog at 5.99 mi/hr for 5.10 mi, then you jump into a car
and drive for another 5.10 mi. With what average speed must
you drive if your average speed for the entire 10.2 mi
Gerald Feldman  Physics 1021/25 Spring 2016
Practice Exam #3 Spring 2016
1
4 pt
A 65.8 kg person sits on a 3.52 kg chair. Each leg of the chair
makes contact with the floor in a circle that is 1.64 cm in
diameter. Calculate the pressure exerted on the fl
Phys1021 12, Spring 2016
Department of Physics
The George Washington University
PHYS 1021: University Physics I Section 12
Spring Semester 2016 (CRN 78340)
Meeting Place:
Monroe Hall, Room B33
Meeting Time:
Tues, Thurs 9:30 11:30 am; Fri 10:00  11:0
LABORATORYII
ENERGYANDELECTRICCIRCUITS
It is often useful to study physical systems to gain insight into biological ones because both
obey the same fundamental principles. In addition, physical systems are easier to study
because they are less complex tha
Useful Formulae and Constants Sheet 1
1
1
1 Q2
2
U capaitor QV CV
2
2
2 C
1
1
0 E 2 Ad 0 E 2 Volume
2
2
Unit Definitions
C
J
, V =
A=
s
C
V
=
A
J s
C2
,
C
C2
F=
=
V
J
Capacitors in Series
Coulomb Force
k 1 / 4 0 8.99 (10)9 N m2 / C 2
0
8.85 10
12
1
CTo