Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 1, Problem 1.52P
To determine
To Show:
The way, the given three expressions for Doppler shift are equal.
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6.10 Assuming the orbits of earth and Mars are circular and coplanar, calculate
(a) The time required for a Hohmann transfer from earth orbit to Mars orbit.
(b) The initial position of Mars (a) in its orbit relative to earth for interception to occur.
Radius of earth orbit
1.496(10*) km.
%D
Radius of Mars orbit = 2.279(10*) km.
HSun = 1.327(10)km³/s?.
{Ans.: (a) 259 days; (b) a = 44.3°}
PROBLEMS
337
Hohmann transfer
orbit
Mars at launch
Mars at
encounter
Sun
Earth at launch
1.16. Establish thermodynamically the formulae
(F).
V
= S and
v (3) ₁²
V
T
= N.
Express the pressure P of an ideal classical gas in terms of the variables μ and T, and verify the
above formulae.
3. Let's imagine that the earth is shrinking and we want to escape before it is too late. Let's
set up some notation:
R: the radius of Earth
MẸ : the mass of Earth
m: your mass
G : the universal gravitational constant
c: the speed of light
Note that, since Earth is shrinking, R is not constant, but MẸ is constant (the values of ME,
G and c are available on Wikipedia). In this question, we will compute the velocity needed
to escape Earth and the radius of (shrunken) Earth for which even light cannot escape (when
Earth becomes a black hole). In fact, all of the related formulae are well known and the
purpose of this question is to justify our work using what we have learned in this course so
far.
(a) The work (energy) W needed to free yourself from Earth when its radius is R metres is
w = G
ME m dh.
h2
R
Show that this improper integral is equal to
GME m
R
Chapter 1 Solutions
Modern Physics For Scientists And Engineers
Ch. 1 - Prob. 1.1PCh. 1 - Prob. 1.2PCh. 1 - Prob. 1.3PCh. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Prob. 1.7PCh. 1 - Prob. 1.8PCh. 1 - Prob. 1.9PCh. 1 - Prob. 1.10P
Ch. 1 - Prob. 1.11PCh. 1 - Prob. 1.12PCh. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Prob. 1.21PCh. 1 - Prob. 1.22PCh. 1 - Prob. 1.23PCh. 1 - Prob. 1.24PCh. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Prob. 1.31PCh. 1 - Prob. 1.32PCh. 1 - Prob. 1.33PCh. 1 - Prob. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 1 - Prob. 1.39PCh. 1 - Prob. 1.40PCh. 1 - Prob. 1.41PCh. 1 - Prob. 1.42PCh. 1 - Prob. 1.43PCh. 1 - Prob. 1.44PCh. 1 - Prob. 1.45PCh. 1 - Prob. 1.46PCh. 1 - Prob. 1.47PCh. 1 - Prob. 1.48PCh. 1 - Prob. 1.49PCh. 1 - Prob. 1.50PCh. 1 - Prob. 1.51PCh. 1 - Prob. 1.52PCh. 1 - Prob. 1.53P
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