4. (a) Let the reading on the Celsius scale be x and the reading on the Fahrenheit scale be
y. Then
. If we require y = 2x, then we have
which yields y = 2x = 320F.
(b) In this case, we require
and find
which yields y = x/2 = 12.3F.
7. We assume scale X i
13. The wave speed v is given by v =
, where is the tension in the rope and is
the linear mass density of the rope. The linear mass density is the mass per unit length of
rope: = m/L = (0.0600 kg)/(2.00 m) = 0.0300 kg/m. Thus
15. (a) The wave speed is giv
P.1- Referring to the numbers in Sample Problem 15-7, we have m = 0.25 kg, b = 0.070
kg/s and T = 0.34 s. Thus, when t = 20T, the damping factor becomes
e bt 2 m = e b 0.070gb 20gb 0.34 g/ 2b 0.25g = 0.39.
58. Since the energy is proportional to the ampli
P1.- . (a) The pressure (including the contribution from the atmosphere) at a depth of htop
= L/2 (corresponding to the top of the block) is
ptop = patm + ghtop = 1.01 105 + (1030) (9.8) (0.300) Pa = 1.04 105 Pa
where the unit Pa (Pascal) is equivalent to
P1.- The period T and orbit radius r are related by the law of periods: T = (4 /GM)r ,
2
2
3
where M is the mass of Mars. The period is 7 h 39 min, which is 2.754 104 s. We solve
for M:
M=
4 2 r 3
4 2 (9.4 106 m)3
=
= 6.5 1023 kg.
2
3
2
4
11
GT 2
(6.67 10
P 2 .- From = r F , we note that persons 1 through 4 exert torques pointing out of the
page (relative to the fulcrum), and persons 5 through 8 exert torques pointing into the
page.
(a) Among persons 1 through 4, the largest magnitude of torque is (330 N)(
P1. If we write r = x i + yj + zk, then (using Eq. 3-30) we find r F is equal to
d yF zF ii + bzF xF g j + d xF yF ik.
z
y
x
z
y
x
With (using SI units) x = 0, y = 4.0, z = 5.0, Fx = 0, Fy = 2.0 and Fz = 3.0 (these latter
terms being the individual forces
MPhys 2101 Homework 4 Solution Fall `06
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The numerical answers to the problems are calculated with the values used in the problems found
in the printed textbook; the values for your particular WebAssign assignment will be different.
1. CQ.10-
Phys 2101 Homework 3 Solution Fall 06
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These solutions use the parameter values from the problems printed in the book, not those that
appear in your personal homework assignment. The logic used to get to the answer is the same,
however.
To f
P MMMMMMMMMMMMM
Mhys 2101 Homework 2 Solution Fall 06
These solutions use the parameter values from the problems printed in the book, not those that
appear in your personal homework assignment. The logic used to get to the answer is the same,
however.
To