Fundamentals of Physics
10th Edition
ISBN: 9781118230718
Author: David Halliday
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 49P
SSM A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. (a) How far and (b) in what direction must the sailor now sail to reach the original destination?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A block of mass m = 2.50 kg is pushed d = 2.30 m along a frictionless horizontal table by a constant applied force of magnitude F = 10.0 N directed at an angle
25.0° below the horizontal as shown in the figure below.
m
(a) Determine the work done by the applied force.
]
(b) Determine the work done by the normal force exerted by the table.
]
(c) Determine the work done by the force of gravity.
]
(d) Determine the work done by the net force on the block.
]
A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.845 m/s encounters a rough horizontal surface of length = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.357 and he exerts a constant horizontal force of 294 N on
the crate.
e
(a) Find the magnitude and direction of the net force on the crate while it is on the rough surface.
magnitude
direction
---Select---
N
(b) Find the net work done on the crate while it is on the rough surface.
]
(c) Find the speed of the crate when it reaches the end of the rough surface.
m/s
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, a distance of 15 m up the incline (and block B drops downward a distance of 15 m) if the system starts from rest.
× J
37°
B
Chapter 3 Solutions
Fundamentals of Physics
Ch. 3 - Can the sum of the magnitudes of two vectors ever...Ch. 3 - The two vectors shown in Fig. 3-21 lie in an xy...Ch. 3 - Being part of the Gators, the University of...Ch. 3 - Prob. 4QCh. 3 - Which of the arrangements of axes in Fig. 3-23 can...Ch. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - If ab=ac, must b equal c?Ch. 3 - If F = qv B and v is perpendicular to B, then...Ch. 3 - Figure 3-25 shows vector A and four other vectors...
Ch. 3 - In a game held within a three-dimensional maze,...Ch. 3 - The x and y components of four vectors a,b,c and d...Ch. 3 - Which of the following are correct meaningful...Ch. 3 - SSM What are a the x component and b the y...Ch. 3 - A displacement vector r in the xy plane is 15 m...Ch. 3 - SSM The x component of vector A is 25.0 m and the...Ch. 3 - Express the following angles in radians: a 20.0, b...Ch. 3 - A ship sets out to sail to a point 120 km due...Ch. 3 - In Fig. 3-27, a heavy piece of machinery is raised...Ch. 3 - Consider two displacements, one of magnitude 3 m...Ch. 3 - A person walks in the following pattern: 3.1 km...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - SSM a In unit-vector notation, what is the sum a ...Ch. 3 - A car is driven east for a distance of 50 km, then...Ch. 3 - A person desires to reach a point that is 3.40 km...Ch. 3 - You are to make four straight-line moves over a...Ch. 3 - SSM ILW WWW The two vectors a and b in Fig. 3-28...Ch. 3 - For the displacement vectors a=(3.0m)i+(4.0m)j and...Ch. 3 - GO ILW Three vectors a, b, and c each have a...Ch. 3 - Prob. 18PCh. 3 - In a game of lawn chess, where pieces are moved...Ch. 3 - An explorer is caught in a whiteout in which the...Ch. 3 - GO An ant, crazed by the Sun on a hot Texas...Ch. 3 - a What is the sum of the following four vectors in...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - GO Oasis B is 25 km due east of oasis A. Starting...Ch. 3 - What is the sum of the following four vectors in a...Ch. 3 - GO If d+d2=5d3,d1d2=3d3, and d3=2 i +4 j , then...Ch. 3 - Two beetles run across flat sand, starting at the...Ch. 3 - GO Typical backyard ants often create a network of...Ch. 3 - GO Here are two vectors: a=(4.0m)i...Ch. 3 - In Fig. 3-30, a vector a with a magnitude of 17.0...Ch. 3 - In Fig. 3-31, a cube of edge length a sits with...Ch. 3 - For the vectors in Fig. 3-32, with a = 4, b = 3,...Ch. 3 - Prob. 34PCh. 3 - Two vectors, r and s, lie in the xy plane. Their...Ch. 3 - If d1=3i2j+4k and d2=5i+2jk, then what is...Ch. 3 - Prob. 37PCh. 3 - GO For the following three vectors, what is...Ch. 3 - Prob. 39PCh. 3 - GO Displacement d1 is in the yz plane 63.0 from...Ch. 3 - SSM ILW WWW Use the definition of scalar product,...Ch. 3 - In a meeting of mimes, mime 1 goes through a...Ch. 3 - SSM ILW The three vectors in Fig. 3-33 have...Ch. 3 - Prob. 44PCh. 3 - Vectors A and B lie in an xy plane. A has...Ch. 3 - GO Vector a has a magnitude of 5.0 m and is...Ch. 3 - Vectors A and B lie in an xy plane. A has...Ch. 3 - GO Two vectors a and b have the components, in...Ch. 3 - SSM A sailboat sets out from the U.S. side of Lake...Ch. 3 - Vector d1 is in the negative direction of a y...Ch. 3 - Rock faults are ruptures along which opposite...Ch. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - For the vectors in Fig. 3-32, with a = 4, b = 3,...Ch. 3 - A particle undergoes three successive...Ch. 3 - Find the sum of the following four vectors in a...Ch. 3 - Prob. 57PCh. 3 - A vector d has a magnitude of 2.5 m and points...Ch. 3 - A has the magnitude 12.0 m and is angled 60.0...Ch. 3 - If a b = 2 c, a b = 4 c, and c = 3 j 4 j, then...Ch. 3 - a In unit-vector notation, what is r = a b c if a...Ch. 3 - A golfer takes three putts to get the ball into...Ch. 3 - Prob. 63PCh. 3 - SSM WWW A room has dimensions 3.00 m height 3.70...Ch. 3 - A protester carries his sign of protest, starting...Ch. 3 - Consider a in the positive direction of x, b in...Ch. 3 - Let i be directed to the east, j be directed to...Ch. 3 - A bank in downtown Boston is robbed see the map in...Ch. 3 - A wheel with a radius of 45.0 cm rolls without...Ch. 3 - A woman walks 250 m in the direction 30 east of...Ch. 3 - A vector d has a magnitude 3.0 m and is directed...Ch. 3 - A fire ant, searching for hot sauce in a picnic...Ch. 3 - Two vectors are given by a = 3.0 i 5.0 j and b =...Ch. 3 - Prob. 74PCh. 3 - Find a north cross west, b down dot south, c east...Ch. 3 - A vector B, with a magnitude of 8.0 m, is added to...Ch. 3 - A man goes for a walk, starting from the origin of...Ch. 3 - What is the magnitude of a b a if a = 3.90, b =...Ch. 3 - In Fig. 3-38, the magnitude of a is 4.3, the...
Additional Science Textbook Solutions
Find more solutions based on key concepts
SCIENCE, TECHNOLOGY, AND SOCIETY In many countries, irrigation is depleting aquifers to such an extent that lan...
Campbell Biology (11th Edition)
Name the components (including muscles) of the thoracic cage. List the contents of the thorax.
Human Physiology: An Integrated Approach (8th Edition)
A human female with Turner syndrome (47, X) also expresses the X-linked trait hemophilia, as did her father. Wh...
Concepts of Genetics (12th Edition)
9. A pendulum is made by tying a 500 g ball to a 75-cm-long string. The pendulum is pulled 30° to one side, the...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
16. ATP is synthesized from ADP, Pi, and a proton on the matrix side of the inner mitochondrial membrane. We wi...
Biochemistry: Concepts and Connections (2nd Edition)
15. A good scientific hypothesis is based on existing evidence and leads to testable predictions. What hypothes...
Campbell Biology: Concepts & Connections (9th Edition)
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
- You are working for the Highway Department. In mountainous regions, highways sometimes include a runaway truck ramp, and you are asked to help with the design of such a ramp. A runaway truck ramp is often a lane of gravel adjacent to a long downhill section of roadway where trucks with failing brakes may need assistance to stop. Working with your supervisor, you develop a worst-case scenario: a truck with a mass of 6.00 × 104 kg enters a runaway truck lane traveling at 34.1 m/s. Assume that the maximum constant value for safe acceleration of the truck is -5.00 m/s². Any higher magnitude of acceleration increases the likelihood that semi-trailer rigs could jackknife. Your supervisor asks you to advise her on the required length (in m) of a runaway truck lane on a flat section of ground next to the roadway. marrow_forwardA large cruise ship of mass 6.20 × 107 kg has a speed of 10.2 m/s at some instant. (a) What is the ship's kinetic energy at this time? ] (b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) ] (c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.10 km? Narrow_forwardA 7.80 g bullet is initially moving at 660 m/s just before it penetrates a block of wood to a depth of 6.20 cm. (a) What is the magnitude of the average frictional force (in N) that is exerted on the bullet while it is moving through the block of wood? Use work and energy considerations to obtain your answer. N (b) Assuming the frictional force is constant, how much time (in s) elapses between the moment the bullet enters the block of wood and the moment it stops moving? Sarrow_forward
- Please don't use Chatgpt will upvote and give handwritten solutionarrow_forwardTwo 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 © Barrow_forwardA 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? marrow_forward
- 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? ]arrow_forwardA 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_forward
- Physics different from a sea breeze from a land breezearrow_forwardFile 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
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
Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY