EBK LIFE IN THE UNIVERSE
4th Edition
ISBN: 9780134080321
Author: SHOSTAK
Publisher: YUZU
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Chapter 7, Problem 16TYU
New spacecraft images show lakes of liquid water on the dwarf planet Eris.
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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simple diagram to illustrate the setup for each law- coulombs law and biot savart law
Chapter 7 Solutions
EBK LIFE IN THE UNIVERSE
Ch. 7 - Why do we expect the elements of life to be widely...Ch. 7 - How does the strength of sunlight vary with...Ch. 7 - Under what conditions does it seem reasonable to...Ch. 7 - Why is a liquid medium important for life? Why...Ch. 7 - Summarize the three major environmental...Ch. 7 - Why do the Moon and Mercury seem unlikely to be...Ch. 7 - Why is Venus so much hotter than Earth? How does...Ch. 7 - Why does Mars seem such a good candidate for life?Ch. 7 - Briefly discuss the possibility of life on Jupiter...Ch. 7 - With regard to habitability, how do the cases of...
Ch. 7 - What characteristics make some of the large moons...Ch. 7 - Briefly describe the prospects for habitability of...Ch. 7 - Describe and distinguish between space missions...Ch. 7 - For a few of the most important past, present, or...Ch. 7 - On the smallest moon of Uranus, my team discovered...Ch. 7 - New spacecraft images show lakes of liquid water...Ch. 7 - We are pumping water for our new Moon colony from...Ch. 7 - I was part of the first group of people to land on...Ch. 7 - We sent a robotic airplane into the atmosphere of...Ch. 7 - On a moon of Neptune, we discovered photosynthetic...Ch. 7 - We deposited bacteria (from Earth) that get energy...Ch. 7 - The drilled sample showed no signs of life on...Ch. 7 - We cut holes in the frozen surface of a methane...Ch. 7 - The drilled sample from Mars brought up rock that...Ch. 7 - Oxygen and carbon are (a) rarer than almost all...Ch. 7 - On an asteroid that is twice as far as Earth from...Ch. 7 - Compared to liquid water, liquid methane is (a)...Ch. 7 - Frozen lakes often have liquid water beneath their...Ch. 7 - Temperatures on Mercury are (a) always very hot;...Ch. 7 - On Venus, liquid water (a) does not exist...Ch. 7 - The reason Venus is so much hotter than Earth is...Ch. 7 - Life is probably not possible in Jupiters...Ch. 7 - Which of the following are you most likely to find...Ch. 7 - The Cassini spacecraft (a) flew past Pluto; (b)...Ch. 7 - Bizarre Forms of Life. Discuss some forms of life...Ch. 7 - Making a Living. Consider various methods by which...Ch. 7 - Solar System Tour. Based on the brief tour in this...Ch. 7 - Galileo Spacecraft. In 2003, scientists...Ch. 7 - Greenhouse Effect. The text (in Chapter 4) makes...Ch. 7 - Prob. 41IFCh. 7 - Understanding Newtons Version of Keplers Third Law...Ch. 7 - Understanding Newtons Version of Keplers Third Law...Ch. 7 - Earth Mass. The Moon orbits Earth in an average...Ch. 7 - Jupiter Mass. Jupiters moon Io orbits Jupiter...Ch. 7 - Pluto/Charon Mass. Plutos moon Charon orbits Pluto...Ch. 7 - Mission to Pluto. The New Horizons spacecraft took...Ch. 7 - Planetary Missions. Visit the web page for one of...
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