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 1.14P
To determine
To Evaluate:
The given expression using binomial approximation.
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Step 1
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The nearest neutron star (a collapsed star made primarily of neutrons) is about 3.00 × 1018 m away from Earth. Given that the Milky Way galaxy (Fig. P1.63) is roughly a disk of diameter ~ 1021 m and thickness ~ 1019 m, estimate the number of neutron stars in the Milky Way to the nearest order of magnitude.
I am confused on how to start this problem. I know I need to use the y(x,t)=Asin(kx+wt+phi) formula, but do I need to take the derivative of that once I enter in all the variables? I am referenceing the problem 14 in the pic I attached. Thanks!
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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- Q.3: A) Solve the following equations (find x, y, z) by using inverse matrix method. (Note: Check the answer by the calculator) cos 0 + In )+ 2** = -3 22+ 1+ cos 20 In y² + 32 – 4 = 2 2 + 2ln /y+ 2² = –3 1 + (tan 0)²arrow_forwardHi! I already have answers for parts A-C in this problem, but I'm having trouble with the last part (D.). Attached is the guide to answer it. My answers for part C are: A = 0 B = (V_o cos theta)/omega C = -(mg)/k D = (V_o sin theta)/omega E = mg/k I tried substituting these coefficients to the x(t) and y(t) formulas, but I still can't reduce them to the usual projectile kinematic equations. Also, what does it mean to do a small angle approximation? I hope you can help, thank you in advanced!arrow_forward40 Q.14 The integral of the vector Ä(p, q, z) coso ô (standard notation for cylindrical coordinates is used) over the volume of a cylinder of height L and radius R, is: (A) 207R,L (î + j) (B) 0 (C) 40πR, Lj ( D) 40πR, L tarrow_forward
- Problem 1.45. As an illustration of why it matters which variables you hold fixec when taking partial derivatives, consider the following mathematical example. Le w = ry and z = yz. (a) Write w purely in terms of x and z, and then purely in terms of y and z. (b) Compute the partial derivatives and and show that they are not equal. (Hint: To compute (ðu/dz)y, use i formula for w in terms of r and y, not z. Similarly, compute (ðu/ar}: from a formula for w in terms of only z and z.)arrow_forwardThe vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular coordinate O (2.83, 2.83) in rectangular coordinate (2.12, 2.12) in rectangular coordinate The vector (3, 4.5) is equal to * O (5.0,50°) in polar coordinates (4.92, 66°) in polar coordinates O (4.0, 60°) in polar coordinates O (5.41,56.3°) in polar coordinatesarrow_forwardLet À = 3.92i + 4.41j and B = -3.02i + -2.43j. What is the angle between À and B measured in degrees. Note that the angle may be greater than 90 degrees. (I understand the basic steps of the question but I keep getting 115.432. My last step was Cos^-1(2.9/22.588)arrow_forward
- Hi, I got 1.270 as my answer. Could you please double check your answer? I did, 1/sin(52) = 1.270arrow_forward(a) Express the spherical unit vectors ê, ê, in terms of the Cartesian unit vectors ✰, ŷ, 2 (that is, derive Eq. 1.64 of Griffiths). Also work out the inverse formulas, giving ✰, ŷ, 2 in terms of f, 0, $ (and 0, $). Calculate af/00 and af/ap, and express them in terms of spherical unit vectors. (b) Express the cylindrical unit vectors ŝ, , 2 in terms of the Cartesian unit vec- tors î, ŷ, 2 (that is, derive Eq. 1.75 of Griffiths). Also work out the inverse formulas, giving x, ŷ, 2 in terms of ŝ, $, 2 (and ). Show that af/0 = $.arrow_forward1.1 Give a physical interpretation of what is meant by the curl of a vector. 1.2 Suppose a vector function A is given by A = -y i + x j and another vector function B is given by B = x j. Calculate (i) the curl of A: and (ii) the curl of B: 1.3 In which direction are the curls pointing? Hence what can you say about their divergence and why?arrow_forward
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