Problem Assignments Phy 210, Spring 2008
Problems are due on the indicated date.
The chapter numbers are from Fishbane et al. unless otherwise indicated.
Due ch:
22 Jan 16: 1, 6, 32, 33, 59
#1 11: 46, 47, 53
17: 19, 21
1. Suppose that atmospheric density varies with altitude as
ρ = ρ0( 1 - y/h ).
What is pressure as a function of altitude?
What is h so that pressure is zero when density is zero?
And what is its numerical value?
2. \into1 dx 4/(1+x2); use 2 and 4 intervals, numerically
25 Jan 16: 23, 36, 60
#2 11: 51
17: 27, 29, 41, 42, 55
18: 6, 15
Fluid velocity: vx = voy/b, rectangular pipe width a,
height b. Surface slanted by angle alpha.
Find the flow rate: \int v·dA
use 2 and 4 intervals, numerically
1 Feb 17: 17, 30, 39, 71, 76, 77
#3 18: 23, 33, 39, 48
19: 5, 9, 16, 23, 29(use just the first four numbers.)
20: 1
Fluid velocity: vx = voxy/b2, rectangular pipe width a,
height b. Surface slanted by angle alpha.
Surface passes through origin. Find the flow rate.
Sketch vector field.
8 Feb 17: 78
#4 18: 47, 59, 67
19: 7, 25, 39
20: 4
14: 1, 2
Use the atmospheric model that ρ = ρ0( 1 - y/h ).
with the same conditions as before. What is the temperature
as a function of height (and graph it of course)?
f(v) = dN/dv = Cv (0 < v < vo) and zero otherwise.
Find <v> and <(v-<v>)2>1/2
with graphs of course.
Fluid velocity: vx = voy/b, rectangular pipe width a,
height b. Surface is a semi-cylinder.
Use angle θ as variable and get yk and nk
in terms of θk. Find the flow rate.
15 Feb 19: 26, 51
#5 14: 6, 15, 22, 35, 49, 51, 61
15: 1, 17
Spiegel: ch 2: 57, 68, 78
Small oscillations: Two fixed masses M at coordinates
(x,y) = (0,a) and (0,-a).
A mass m can move along the x-axis. What is the gravitational
potential energy as a function of x? [Back to chapter 12?]
Find Fx=-dU/dx, and for small distances from the origin
solve the resulting differential equation of motion.
A right circular cone, height h, radius of base R: Divide it into
disks of height Δzk, add the volumes of these disks,
and take the limit as Δzk --> 0.
Velocity distribution (in one dimension still) is
dN/dvx = F(vx) = C (if -v0 < +2v0)
= 0 (otherwise)
Find <vx>, find <v>, find the distribution function f(v).
Feb 22 18: 45
#6 14: 34, 39, 65
15: 37, 51
35: 7, 18, 25, 37
Just as before, computing the volume of a cone by setting up
a sum of volumes of disks, do it for a ball.
Mar 3 18: 54
#7 14: 39, 54
15: 3
35: 3, 19, 36, 63(Doppler)
36: 31, 33, 36, 44
37: 1, 4, 7, 24
39: 1
Use the binomial expansion for (1+x)n to evaluate strictly by hand
Spiegel: ch 2: 80, 92
Mar 17 14: 80
#8 35: 26, 43
Derive eq. (35-8) from the reflection coeffs. in class.
36: 1, 38
37: 14, 25, 31, 47
38: 21
39: 4, 7, 9
Spiegel: ch 2: 75, 83
Mar 21 39: 11, 27, 37, 49, 51
#9 21: 1, 16, 24, 35, 41, 44
22: 1
Rel Notes: probs 1, 2
Mar 31 Check the z>>R case of the force by the disk of charge.
#10 For the charges in fig 21-14, assume them to have the same magnitude
and sketch the electric field vectors from all of them.
21: 46, 67
22: 8, 15, 24, 27, 32, 39, 48
23: 1, 3
39: 39
Apr 7 23: 12, 38, 43
#11 24: 1, 7, 39
27 Mar 2007 [1], [3], [5]
12 Apr 2007 [2]
23 Mar 2006 [3]
18 Apr 2006 [2], [3], [4], [5]
Apr 15 23: 41, 51, 59
#12 24: 27, 40, 58, 85
25: 20
26: 15, 27
27: 61
Apr 23 23: 31, 48
#13 24: 52, 53, 82
26: 11
28: 19, 45
29: 1, 2, 9
30: 3
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