Pearson eText Life in the Universe -- Instant Access (Pearson+)
4th Edition
ISBN: 9780135234457
Author: Jeffrey Bennett, Seth Shostak
Publisher: PEARSON+
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Chapter 2, Problem 23TYU
All life in the universe must use DNA as its genetic material.
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PROBLEM 2
A cube of mass m is placed in a rotating funnel.
(The funnel is rotating around the vertical axis shown
in the diagram.) There is no friction between the cube
and the funnel but the funnel is rotating at just the
right speed needed to keep the cube rotating with the
funnel. The cube travels in a circular path of radius r,
and the angle between the vertical and the wall of the
funnel is 0. Express your answers to parts (b) and (c)
in terms of m, r, g, and/or 0.
(a) Sketch a free-body diagram for the cube. Show
all the forces acting on it, and show the appropriate
coordinate system to use for this problem.
(b) What is the normal force acting on the cube?
FN=mg58
(c) What is the speed v of the cube?
(d) If the speed of the cube is different from what you
determined in part (c), a force of friction is necessary
to keep the cube from slipping in the funnel. If the
funnel is rotating slower than it was above, draw a
new free-body diagram for the cube to show which
way friction…
Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present.
Write an expression for the tan(θ) of a car going around the banked turn in terms of the car's speed v, the radius of the turn r, and g so that the car will not move up or down the incline of the turn.
tan(θ) =
The character Min Min from Arms was a DLC character added to Super Smash Bros. Min Min’s arms are large springs, with a spring constant of 8.53 ⋅ 10^3 N/m, which she uses to punch and fling away her opponents. Min Min pushes her spring arm against Steve, who is not moving, compressing it 1.20 m as shown in figure A. Steve has a mass of 81.6 kg. Assuming she uses only the spring to launch Steve, how fast is Steve moving when the spring is no longer compressed? As Steve goes flying away he goes over the edge of the level, as shown in figure C. What is the magnitude of Steve’s velocity when he is 2.00 m below where he started?
Chapter 2 Solutions
Pearson eText Life in the Universe -- Instant Access (Pearson+)
Ch. 2 - Describe at least three characteristics of Greek...Ch. 2 - What do we mean by a model of nature? Summarize...Ch. 2 - What is apparent retrograde motion, and why was it...Ch. 2 - Who first proposed the idea that Earth is a planet...Ch. 2 - Prob. 5RQCh. 2 - What was the Copernican revolution, and how did it...Ch. 2 - Why didnt Copernicuss model gain immediate...Ch. 2 - State and explain each of Keplers laws of...Ch. 2 - Briefly describe three reasonable objections to...Ch. 2 - How did Newtons discoveries about the laws of...
Ch. 2 - How did the Copernican revolution affect scholarly...Ch. 2 - What is the difference between a hypothesis and a...Ch. 2 - Describe each of the three hallmarks of science...Ch. 2 - What is Occams razor? Give an example of how it...Ch. 2 - Why doesnt science accept personal testimony as...Ch. 2 - In what sense is gravity both a fact and a theory?...Ch. 2 - What is Newtons universal law of gravitation?...Ch. 2 - Prob. 18RQCh. 2 - Lionel Messi is the best soccer player of his...Ch. 2 - Several kilometers below its surface, Europa has...Ch. 2 - My house is haunted by ghosts, who make the...Ch. 2 - There are no lakes or seas on Mars today.Ch. 2 - All life in the universe must use DNA as its...Ch. 2 - Children born when Jupiter is in the constellation...Ch. 2 - Prob. 25TYUCh. 2 - Newtons law of gravity explains the orbits of...Ch. 2 - God created the laws of motion that were...Ch. 2 - Prob. 28TYUCh. 2 - In Ptolemys geocentric model, the retrograde...Ch. 2 - Which of the following was not a major advantage...Ch. 2 - Earth is closer to the Sun in January than in...Ch. 2 - According to Keplers third law, (a) Mercury...Ch. 2 - Tycho Brahes contributions to astronomy included...Ch. 2 - Galileos contributions to astronomy included (a)...Ch. 2 - Which of the following is not true about...Ch. 2 - Which of the following is not true about a...Ch. 2 - How did the Copernican revolution alter...Ch. 2 - When Einsteins theory of gravity (general...Ch. 2 - Greek Models. As we discussed in this chapter, the...Ch. 2 - Copernican Players. Using a bulleted list format,...Ch. 2 - Atomists and Aristotelians. The ancient Greek...Ch. 2 - Influence on History. Based on what you have...Ch. 2 - Sedna Orbit. The object Sedna orbits our Sun at an...Ch. 2 - Eris Orbit. The dwarf planet Eris, which is...Ch. 2 - New Planet Orbit. A newly discovered planet orbits...Ch. 2 - Halleys Orbit. Halleys Comet orbits the Sun every...Ch. 2 - Newtons Universal Law of Gravitation. a. How does...Ch. 2 - Science and Religion. Science and religion are...Ch. 2 - The Impact of Science. The modern world is filled...Ch. 2 - Absolute Truth. An important issue in the...Ch. 2 - Pseudoscience. Choose a pseudoscientific claim...Ch. 2 - Prob. 60WP
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