Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
2nd Edition
ISBN: 9780137443000
Author: Eugenia Etkina, Gorazd Planinsic
Publisher: PEARSON+
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Chapter 22, Problem 26CQ
You look at a fish underwater Draw a ray diagram of the light that enters your eye from the fish.
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You are standing a distance x = 1.75 m away from this mirror. The object you are looking at is y = 0.29 m from the mirror. The angle of incidence is θ = 30°. What is the exact distance from you to the image?
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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 \((-180^{\circ},180^{\circ}]\).
Chapter 22 Solutions
Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
Ch. 22 - Prob. 1RQCh. 22 - Review Question 22.2 How can we test the law of...Ch. 22 - Review Question 22.3 Why is the expression light...Ch. 22 -
Review Question 22.4 Why did we study total...Ch. 22 - Review Question 22.5 What is the critical angle...Ch. 22 - Review Question 22.6 Why is the sky blue? Why are...Ch. 22 - Prob. 7RQCh. 22 - 1. How can you convince your friend that a beam of...Ch. 22 - 2. Each point of a light-emitting object
a. sends...Ch. 22 - What is a light ray? a. A thin beam of light b. A...
Ch. 22 - Prob. 5MCQCh. 22 - You fix a point-like light source 3.0m away from a...Ch. 22 - Prob. 7MCQCh. 22 - A light ray travels through air and then passes...Ch. 22 - 9. A right triangular prism sits on a base A...Ch. 22 - 10. A laser beam travels through oil in a...Ch. 22 - Prob. 11MCQCh. 22 - Prob. 12MCQCh. 22 - What effects of light radiation and reflection are...Ch. 22 - Prob. 14CQCh. 22 - Prob. 15CQCh. 22 - Explain how a sundial works (a sundial is just a...Ch. 22 - Prob. 17CQCh. 22 - Prob. 18CQCh. 22 - Prob. 19CQCh. 22 - Prob. 20CQCh. 22 - Prob. 21CQCh. 22 - The visible diameters of the Moon and the Sun are...Ch. 22 - The shadow of the Moon on Earth is 200 km wide....Ch. 22 - Prob. 24CQCh. 22 - 25. During the day, you can see the trees in your...Ch. 22 - 26. You look at a fish underwater Draw a ray...Ch. 22 - 27. Take a pencil and try to touch a penny on the...Ch. 22 - 28. Will a beam of light experience total internal...Ch. 22 - Prob. 29CQCh. 22 - Prob. 30CQCh. 22 - Prob. 31CQCh. 22 - Prob. 32CQCh. 22 - 33. What phenomena can be explained using a wave...Ch. 22 - How is it possible that two different models can...Ch. 22 - Oliver has finished building a wall in a house. He...Ch. 22 - Tree height You are standing under a tree. The...Ch. 22 - Lunar eclipse A lunar eclipse happens when the...Ch. 22 - * Shadows during romantic dinner You and a friend...Ch. 22 - * Pinhole camera (camera obscura) You want to make...Ch. 22 - 6. * Solar eclipse Only observers in a very narrow...Ch. 22 - Prob. 7PCh. 22 - An extended light source can be modeled as a group...Ch. 22 - * You have a small mirror. While holding the...Ch. 22 - Prob. 11PCh. 22 - 12. Design a mirror arrangement so that light from...Ch. 22 - Two mirrors are oriented at right angles. A narrow...Ch. 22 - Prob. 14PCh. 22 - A flat mirror is rotated 17 about an axis in the...Ch. 22 - (a) A laser beam passes from air into a 25 glucose...Ch. 22 - 17. A beam of light passes from glass with...Ch. 22 - A beam of light passes from air into a transparent...Ch. 22 - 19. * Moving laser beam An aquarium open at the...Ch. 22 - **Lifting light You have a V-shaped transparent...Ch. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - 23. * BIO Vitreous humor Behind the lens of the...Ch. 22 - Prob. 24PCh. 22 - * Light moving up and toward the right in air...Ch. 22 - * A laser beam is incident at 30 with respect to...Ch. 22 - * Can your light be seen? You swim under water at...Ch. 22 - * Light is incident on the boundary between two...Ch. 22 - 29. Diamond total reflection Determine the...Ch. 22 - Determine the refractive index of a glucose...Ch. 22 - * You wish to use a prism to change the direction...Ch. 22 - * You aim a laser beam (in air) at 80.0 with...Ch. 22 - 33. * Prism total reflection What must be the...Ch. 22 - Gems and critical angles In gemology, two of the...Ch. 22 - (a) The refractive index for the gem aquamarine is...Ch. 22 - 36. * You have three transparent media with...Ch. 22 - 37. (a) Rays of light are incident on a glass-air...Ch. 22 - 42. ** When reaching a boundary between two media,...Ch. 22 - 43. * A laser beam travels from air (n = 1.00)...Ch. 22 - . You sit on a raft and want to orient a mirror so...Ch. 22 - 45. ** Rain sensor Many cars today are equipped...Ch. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - 48. A light ray is incident on a flat piece of...Ch. 22 - 49. * Prism You have a triangular prism made of...Ch. 22 - * You have a candle and a large piece of paper...Ch. 22 - 52. * You place a point-like source of light at...Ch. 22 - 53. ** There is a light pole on one bank of a...Ch. 22 - 54. ** Coated optic fiber An optic fiber of...Ch. 22 - relative to the normal, hits the mirror, reflects,...Ch. 22 - 56. ** A scuba diver stands at the bottom of a...Ch. 22 - Prob. 57RPPCh. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Prob. 60RPPCh. 22 - Prob. 61RPPCh. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Prob. 63RPPCh. 22 - Prob. 64RPPCh. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Prob. 66RPPCh. 22 - Prob. 67RPPCh. 22 - Prob. 68RPP
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