FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 34, Problem 114P
Light travels from point A to point B via reflection at point O on the surface of a mirror. Without using calculus, show that length AOB is a minimum when the angle of incidence θ is equal to the angle of reflection ϕ. (Hint: Consider the image of A in the mirror.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two blocks, A and B (with mass 45 kg and 120 kg, respectively), are connected by a string, as shown in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is μk = 0.26. Determine the change in the kinetic
energy of block A as it moves from to ①, a distance of 15 m up the incline (and block B drops downward a distance of 15 m) if the system starts from rest.
]
37°
A
©
B
A skateboarder with his board can be modeled as a particle of mass 80.0 kg, located at his center of mass. As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). On his descent, the skateboarder moves without friction so
that his center of mass moves through one quarter of a circle of radius 6.20 m.
i
(a) Find his speed at the bottom of the half-pipe (point Ⓡ).
m/s
(b) Immediately after passing point Ⓑ, he stands up and raises his arms, lifting his center of mass and essentially "pumping" energy into the system. Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.71 m, reaching point D. As he
passes through point ①, the speed of the skateboarder is 5.37 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy when he stood up at point Ⓑ?
]
(c) How high above point ① does he rise?
m
A 31.0-kg child on a 3.00-m-long swing is released from rest when the ropes of the swing make an angle of 29.0° with the vertical.
(a) Neglecting friction, find the child's speed at the lowest position.
m/s
(b) If the actual speed of the child at the lowest position is 2.40 m/s, what is the mechanical energy lost due to friction?
]
Chapter 34 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 34 - A penguin waddles along the central axis of a...Ch. 34 - When a T. rex pursues a jeep in the movie Jurassic...Ch. 34 - You look through a camera towards an image of a...Ch. 34 - ILW A moth at about eye level is 10 cm in front of...Ch. 34 - A concave shaving mirror has a radius of curvature...Ch. 34 - a A luminous point is moving at speed vo towards a...Ch. 34 - A lens is made of glass having an index of...Ch. 34 - A movie camera with a single lens of focal length...Ch. 34 - You produce an image of the Sun on a screen, using...Ch. 34 - SSM WWW A double-convex lens is to be made of...
Ch. 34 - SSM An illuminated slide is held 44 cm from a...Ch. 34 - If the angular magnification of an astronomical...Ch. 34 - An object is 10.0 mm from the objective of a...Ch. 34 - Someone with a near point Pn of 25 cm views a...Ch. 34 - SSM The formula 1/p 1/i = 1/f is called the...Ch. 34 - SSM Two thin lenses of focal lengths f1 and f2 are...Ch. 34 - Two plane mirrors are placed parallel to each...Ch. 34 - SSM A fruit fly of height H sits in front of lens...Ch. 34 - A pinhole camera has the hole a distance 12 cm...Ch. 34 - Light travels from point A to point B via...Ch. 34 - A point object is 10 cm away from a plane mirror,...Ch. 34 - Show that the distance between an object and its...Ch. 34 - A luminous object and a screen are a fixed...Ch. 34 - An eraser of height 1.0 cm is placed 10.0 cm in...Ch. 34 - A peanut is placed 40 cm in front of a two-lens...Ch. 34 - A coin is placed 20 cm in front of a two-lens...Ch. 34 - An object is 20 cm to the left of a thin diverging...
Additional Science Textbook Solutions
Find more solutions based on key concepts
You have generated three transgenic lines of maize that are resistant to the European corn borer, a significant...
Genetic Analysis: An Integrated Approach (3rd Edition)
Carefully examine the common sedimentary rocks shown In Figure 2.13. Use these photos and the preceding discuss...
Applications and Investigations in Earth Science (9th Edition)
61. What is the pH of a solution in which 224 mL of HCl(g), measured at 27.2 °C and 1.02 atm, is dissolved in 1...
Chemistry: A Molecular Approach (4th Edition)
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desi...
Cosmic Perspective Fundamentals
62. Two 5.0 g point charges on 1.0-m-long threads repel each other after being charged to + 100 nC, as shown i...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
The required volume of 0.1 M NaOH to neutralize 2.0 L of 0.050 M HCl is to be determined. Concept introduction:...
Living By Chemistry: First Edition Textbook
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A force acting on a particle moving in the xy plane is given by F = (2yî + x²), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x = 5.60 m and y = 5.60 m, as shown in the figure below. y (m) B (x, y) x (m) (a) Calculate the work done by F on the particle as it moves along the purple path (0 Ⓐ©). ] (b) Calculate the work done by ♬ on the particle as it moves along the red path (0 BC). J (c) Is F conservative or nonconservative? ○ conservative nonconservativearrow_forwardA 3.5-kg block is pushed 2.9 m up a vertical wall with constant speed by a constant force of magnitude F applied at an angle of 0 = 30° with the horizontal, as shown in the figure below. If the coefficient of kinetic friction between block and wall is 0.30, determine the following. (a) the work done by F J (b) the work done by the force of gravity ] (c) the work done by the normal force between block and wall J (d) By how much does the gravitational potential energy increase during the block's motion? ]arrow_forwardPhysics different from a sea breeze from a land breezearrow_forward
- File Preview Design a capacitor for a special purpose. After graduating from medical school you and a friend take a three hour cruise to celebrate and end up stranded on an island. While looking for food, a spider falls on your friend giving them a heart attack. Recalling your physics, you realize you can build a make-shift defibrillator by constructing a capacitor from materials on the boat and charging it using the boat's battery. You know that the capacitor must hold 100 J of energy and be at 1000 V (fortunately this is an electric boat which has batteries that are 1000 V) to work. You decide to construct the capacitor by tightly sandwiching a single layer of Saran wrap between sheets of aluminum foil. You read the Saran wrap box and fortunately they tell you that it has a thickness 0.01 mm and dielectric constant of 2.3. The Saran wrap and foil are 40 cm wide and very long. How long is the final capacitor you build that saves your friend?arrow_forwardHow do I plot the force F in Matlba (of gravity pulling on the masses) versus spring displacement, and fit the data with a linear function to find the value for the spring constant. To get a linear fit, use polynomial order 1. Report the value of 'k' from the fit. What code is used?arrow_forwardOk im confused on this portion of the questions being asked. the first snip is the solution you gave which is correct. BUt now it is asking for this and im confused. The magnitude of the force F_11 is __________LB. The direction of the force F_11 is __________LB.arrow_forward
- Solve and answer the problem correctly and be sure to check your work. Thank you!!arrow_forwardThe spring in the figure has a spring constant of 1300 N/m. It is compressed 17.0 cm, then launches a 200 g block. The horizontal surface is frictionless, but the block’s coefficient of kinetic friction on the incline is 0.200. What distance d does the block sail through the air?arrow_forwardSolve and answer the problem correctly and be sure to check your work. Thank you!!arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Laws of Refraction of Light | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=4l2thi5_84o;License: Standard YouTube License, CC-BY