Physics 1302: Formula Sheet Ch 19-22
k|q1 |q2 |
r2
~
F~ = q0 E
|F~ | =
U = q0 V
V
E=
s
k|q|
~ =
|E|
r2
kq
V =
r
kq1 q2
U=
r
1
1
Q2
U = QV = CV 2 =
2
2
2C
1
2
uE = 0 E
2
Charging a capacitor
q(t) = CE(1 et/ ); Q = CE
E
I(t) = (et/ )
R
= RC
Discharging a c
Practice Quiz 6
1) The resistivity of a 100 m long copper wire is 1.72 10-8 m. If the cross sectional area of the wire is 6 10-6
m2, what is its resistance?
A) 0.3
B) 3
C) 30
D) 300
Answer: A
2) The length of a certain wire is doubled and at the same
1. A convex spherical mirror with a radius of 50 cm has a 4.0 cm tall object placed 100 cm
in front of it. What is the distance of the image, and is it in front or behind the mirror?
2. A 6.0-F capacitor is connected in series with= 5.0 M resistor, and th
SET 5
2.22)
We did this problem in class. Evaluate the integral;
dx
V = 2
0
= 2 ln(x +
[x + y 2 ]1/2
2
x2 + y 2 ) |
0
The issue here is understanding how to remove the , which after all is a constant. If
integration is taken between then one needs to cons
SET 4
2.7)
dE
r
z
R
Figure 1: The coordinate geometry for the problem
From the gure R + r = z and
r 2 = |z R|2 = R2 + z 2 2R z cos()
Also;
z R cos()
cos() = z r r =
|z R |
We need only the z component of the electric eld. Thus;
z R cos()
]
|z R |3
1 (R/z
SET 3
1.49)
For 3 vectors
F1 = x2 z
F2 = x2 x + y y + z z
F3 = yz x + zxy + xy z
Then;
F1 = 0
F2 = 3
F1 = x3 /3
y
F2 = V ;
where V = 1/2(x2 + y 2 + z 2 )
F3 = 0
F3 = V ; where
V = (xyz )
F3 = 0
F3 = curlA ; where A = (1/2)[x(z 2 y 2) + y (x2 z 2 ) +
SET 2
1.30)
z
(0,0,1)
y
(0,1,0)
(1,0,0)
x
Figure 1: The coordinate geometry for the problem
The integration is over the surfaces in the (x,y), (y,x), (x,z), and the triangular area
shown in the gure. The integral is then;
1
V=
dz z 2
0
(1z y )
(1z )
dx
dy
SET 1
1.6)
Write the cross product B C in cartesian coordinates;
BC =
xy
z
Bx By Bz
Cx Cy Cz
B C = x[By Cz Bz Cy ] + y [Bx Cz Bz Cx ] + z [Bx Cy By Cz ]
Then take the cross product A (B C ). This is rearranged and terms collected to
obtain;
A (B C ) = B (
Phys 6321 Midterm - Solution
March 18, 2013
You must do all problems in the time allocated. You may NOT use any notes or
books other than those provided by the instructor do you own work. You may
NOT receive aid from anyone other that the instructor. Show
Phys 6321 Final Exam - Solutions
May 3, 2013
You may NOT use any book or notes other than that supplied with this test. You
will have 3 hours to nish. DO YOUR OWN WORK. Express your answers clearly and
concisely so that appropriate credit can be assigned
Phys 4321 Exam 1 Solutions
Sept. 19, 2013
1)
A line charge of constant linear density, is in the shape of a circular arc of radius, a,
centered on the origin. It lies in the (x, y ) plane beginning at the positive x axis and ending
at the negative x axis,
Student Name:
_
Student ID:
_
Home Work 01 S13
Solutions
Chapter 1 (Measurement)
1. Chapter 1, Problem 3
The micrometer (1 m) is often called the micron. (a) How many microns make up
1.0 km? (b) What fraction of a centimeter equals 1.0 m? (c) How many mic
Student Name:
_
Student ID:
_
Home Work 02 S13
Solutions
Chapter 2 (Motion in a straight line)
1. Chapter 2, Concept Question 3
Figure 2-16 shows four paths along which objects move from a starting po int to a
final point, all in the same time interval. T
Student Name:
_
Student ID:
_
Home Work 03 S13
Solutions
Chapter 3 (Vectors)
1. Chapter 3, Concept Question 5
Which of the arrangements of axes in Fig. 3-23 can be labeled right-handed
coordinate system? As usual, each axis label indicates the positive si
Student Name:
_
Student ID:
_
Home Work 04 S13
Chapter 4 (Motion in 2D and 3D)
1. Chapter 4, Problem 9
Figure 4-30 gives the path of a squirrel moving about on level ground, from
point A(at time t = 0 min), to points B (at t = 5.00 min), C (at t = 10.0 mi
Student Name:
_
Student ID:
_
Home Work 05 S13
Chapter 5 (Force and Motion -1)
1. Chapter 5, Problem 4
While two forces act on it, a particle is t o move at the constant velocity
(
) (
) . One of the forces is
( ) (
) . What is the
other force?
Soluti
Student Name:
_
Student ID:
_
Home Work 06 S13
Solutions
Chapter 6 (Force and Motion -II)
1. Chapter 6, Concept Question 5
If you press an apple crate against a wall so hard that the crate cannot slide down
the wall, what is the direction of (a) the stati
Student Name:
_
Student ID:
_
Home Work 07 S13
Solutions
Chapter 7 (Kinetic Energy and Work)
1. Chapter 7, Problem 11
A 12.0 N force with a fixed orientation does work on a particle as the particle
moves through the three-dimensional displacement (
) m.
Student Name:
_
Student ID:
_
Home Work 08 S13
Solutions
Chapter 8 (Potential energy and conservation of energy)
1. Chapter 8, Problem 6
In Fig. 8-31, a small block of mass m = 0.032 kg can slide along the frictionless
loop-the-loop, with loop radius R =
Student Name:
_
Student ID:
_
Home Work 09 S13
Solutions
Chapter 9 (Center of Mass and Linear Momentum)
1. Chapter 9, Problem 5
What are (a) the x coordinate and (b) the y coordinate of the center of mass for the
uniform plate shown in Fig. 9-38 if L = 5.
Student Name:
_
Student ID:
_
Home Work 10 S13
Solutions
Chapter 10 (Rotation)
1. Chapter 10, Problem 2
What is the angular speed of (a) the second hand, (b) the minute hand, and (c) the
hour hand of a smoothly running analog watch? Answer in radians per
Student Name:
_
Student ID:
_
Home Work 11 S13
Solutions
Chapter 11 (Rolling, Torque, and Angular Momentum)
1. Chapter 11, Problem 11
In Fig. 11-34, a constant horizontal force
of magnitude 10 N is applied to a
wheel of mass 10 kg and radius 0.30 m. The w
Student Name:
_
Student ID:
_
Home Work 12 S13
Solutions
Chapter 12 (Equilibrium and Elasticity)
1. Chapter 12, Concept Question 5
Figure 12-17 shows a mobile of toy penguins hanging from a ceiling. Each
crossbar is horizontal, has negligible mass, and ex
Student Name:
_
Student ID:
_
Home Work 13 S13
Solutions
Chapter 13 (Gravitation)
1. Chapter 13, Concept Question 3
In Fig. 13-22, a central particle is surrounded by two circular rings of particles, at
radii r and R, with R > r. All the particles have ma
Student Name:
_
Student ID:
_
Home Work 14 S13
Solutions
Chapter 14 (Fluids)
1. Chapter 14, Concept Question 6
Figure 14-24 shows three identical open-top containers filled to the brim with
water; toy ducks float in two of them. Rank the containers and co
Homework Discussion, Week 9
Physics 1302
Dr. Andersen
Chapter 28
19.) We can use equation 28-3 to nd the angle between the central bright
fringe and rst fringe, and then use that angle in equation 28-1. Note that
the sharp edges of the 2 razor blades will