College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 12PE
Find the components of vtot along a set of perpendicular axes rotated 30° counterclockwise relative to those in Figure 3.57.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
You stand in a flat meadow and observe two cows (see the figure below). Cow A is due north of you and 14.5 m from your position. Cow B is 27.5 m from your position. From your point of view, the angle between cow A and cow B is 17.5°, with cow B appearing to the right of cow A.
(a) How far apart are cow A and cow B? m(b) Consider the view seen by cow A. According to this cow, what is the angle between you and cow B? °(c) Consider the view seen by cow B. According to this cow, what is the angle between you and cow A? Hint: What does the situation look like to a hummingbird hovering above the meadow? °(d) Two stars in the sky appear to be 17.5° apart. Star A is 14.5 ly from the Earth, and star B, appearing to the right of star A, is 27.5 ly from the Earth. To an inhabitant of a planet orbiting star A, what is the angle in the sky between star B and our Sun? °
Given
v = -37 + 87
|ū|
5 making angle 240 degree measured counterclockwise from +x axis.
Find the angle of 27 +3ū. (sketch the plot to help you visualize the problem)
=
(1.35N, 68°) and (1.22N, 291°).
Find the -component of . (Begin by finding the x components of and )
Find the -component of . (Begin by finding the y components of and )
Find the magnitude of . (Use Pythagorean’s theorem)
Find the direction of . (Use any of the trig identities)
Chapter 3 Solutions
College Physics
Ch. 3 - Which of the following is a vector: a person's...Ch. 3 - Give a specific example of a vector, stating its...Ch. 3 - What do vectors and scalars have in common? How do...Ch. 3 - Two calipers in a national park hike from their...Ch. 3 - If an airplane plot is told to fly 123 km in a...Ch. 3 - Suppose you take two steps A and B (that is, two...Ch. 3 - Explain why it is not possible to add a scalar to...Ch. 3 - If you take two steps of different sizes, can you...Ch. 3 - Suppose you add two vectors A and B. What relative...Ch. 3 - Give an example of a nonzero vector that has a...
Ch. 3 - Explain why a vector cannot have a component...Ch. 3 - If the vectors A and B are perpendicular, what is...Ch. 3 - Answer the following questions for projectile...Ch. 3 - Answer the following questions for projectile...Ch. 3 - For a fixed initial speed, the range of a...Ch. 3 - During a lecture demonstration, a professor places...Ch. 3 - What frame or frames of reference do you...Ch. 3 - A basketball player dribbling clown the court...Ch. 3 - If someone riding in the back of a pickup truck...Ch. 3 - The hat of a jogger running at constant velocity...Ch. 3 - A clod of dirt falls from the bed of a moving...Ch. 3 - Find the following for path A in Figure 3.54: (a)...Ch. 3 - Find the following for path B in Figure 3.54: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Suppose you walk 18.0 m straight west and then...Ch. 3 - Suppose you first walk 12.0 m in a direction 20°...Ch. 3 - Repeat the problem above, but reverse the order of...Ch. 3 - (a) Repeat the problem two problems prior, but for...Ch. 3 - Show that the order of addition of three vectors...Ch. 3 - Show that the sum of the vectors discussed in...Ch. 3 - Find the magnitudes of velocity vAand vBin figure...Ch. 3 - Find the components of vtot along the x- and...Ch. 3 - Find the components of vtot along a set of...Ch. 3 - Find the following for path C in Figure 3.58: (a)...Ch. 3 - Find the following for path D in Figure 3.58: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Solve the following problem using analytical...Ch. 3 - Repeat Exercise 3.16 using analytical techniques,...Ch. 3 - You drive 7.50 km in a straight line in a...Ch. 3 - Do Exercise 3.16 again using analytical techniques...Ch. 3 - A new landowner has a triangular piece of flat...Ch. 3 - You fly 32.0 km in a straight line in still air in...Ch. 3 - A farmer wants to fence off his four-sided plot of...Ch. 3 - In an attempt to escape his island, Gilligan...Ch. 3 - Suppose a pilot flies 40.0 km in a direction 60°...Ch. 3 - A projectile is launched at ground level with an...Ch. 3 - A ball is kicked with an initial velocity of 16...Ch. 3 - A ball is thrown horizontally from the top of a...Ch. 3 - (a) A daredevil is attempting to jump his...Ch. 3 - An archer shoots an arrow at a 75.0 m distant...Ch. 3 - A rugby player passes the ball 7.00 m across the...Ch. 3 - Verify the ranges for the projectiles in Figure...Ch. 3 - Verity the ranges shown for the projectiles in...Ch. 3 - The cannon on a battleship can fire a shell a...Ch. 3 - An arrow is shot from a height of 1.5 m toward a...Ch. 3 - In the standing broad jump, one squats and then...Ch. 3 - The world long jump record is 8.95 m (Mike Powell,...Ch. 3 - Serving at a speed of 170 km/h, a tennis player...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - Gun sights are adjusted to aim high to compensate...Ch. 3 - An eagle is flying horizontally at a speed of 3.00...Ch. 3 - An owl is carrying a mouse to the chicks in its...Ch. 3 - Suppose a soccer player kicks the ball from a...Ch. 3 - Can a goalkeeper at her/ his goal kick a soccer...Ch. 3 - The free throw line in basketball is 4.57 m (15...Ch. 3 - In 2007, Michael Carter (U.S.) set a world record...Ch. 3 - A basketball player is running at 5.00 m/s...Ch. 3 - A football player punts the ball at a 45.0° angle....Ch. 3 - Prove that the trajectory of a projectile is...Ch. 3 - Derive R=v02sin20g for the range of a projectile...Ch. 3 - Unreasonable Results (a) Find the maximum range of...Ch. 3 - Construct Your Own Problem Consider a ball tossed...Ch. 3 - Bryan Allen pedaled a human-powered aircraft...Ch. 3 - A seagull flies at a velocity of 9.00 m/s straight...Ch. 3 - Near the end of a marathon race, the first two...Ch. 3 - Verity that the coin dropped by the airline...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - A ship sets sail from Rotterdam, The Netherlands,...Ch. 3 - (a) A jet airplane flying from Darwin, Australia,...Ch. 3 - (a) In what direction would the ship in Exercise...Ch. 3 - (a) Another airplane is flying in a jet stream...Ch. 3 - A sandal is dropped from the top of a 15.0-m-high...Ch. 3 - The velocity of the wind relative to the water is...Ch. 3 - The great astronomer Edwin Hubble discovered that...Ch. 3 - (a) Use the distance and velocity data in Figure...Ch. 3 - An athlete crosses a 25-m-wide river by swimming...Ch. 3 - A ship sailing in the Gulf Stream is heading 25.0°...Ch. 3 - An ice hockey player is moving at 8.00 m/s when he...Ch. 3 - Unreasonable Results Suppose you wish to shoot...Ch. 3 - Unreasonable Results A commercial airplane has an...Ch. 3 - Construct Your Own Problem Consider an airplane...
Additional Science Textbook Solutions
Find more solutions based on key concepts
8. A 1000 kg car pushes a 2000 kg truck that has a dead battery. When the driver steps on the accelerator, the ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
81. Choose the element with the larger atoms from each pair.
a. Al or In
b. Si or N
c. P or Pb
d. C or F
Introductory Chemistry (6th Edition)
Match the people in column A to their contribution toward the advancement of microbiology, in column B. Column ...
Microbiology: An Introduction
Why is living epithelial tissue limited to a certain thickness?
Human Anatomy & Physiology (2nd Edition)
3. Trails that are derived from a common ancestor, like the bones of human arms and bird wings, are said to be_...
Biological Science (6th Edition)
Define histology.
Fundamentals of Anatomy & Physiology (11th 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 receive orders to sail due east for 28.2 mi to put your salvage ship directly over a sunken pirate ship. However, when your divers probe the ocean floor at that location and find no evidence of a ship, you radio back to your source of information, only to discover that the sailing distance was supposed to be 28.2 nautical miles, not regular miles. Use the Length table below to calculate how far horizontally you are from the pirate ship.arrow_forwardAn ion in a mass spectrometer moves in one-half of a circular path of radius 0.75 miles (mi). What is the difference in magnitude (in meters) of its displacement and distance to travel in one-fourth of a circle? (Use: 1 mi = 1.609 km)arrow_forwardA Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in Figure 3.27, where A = 4.05 km and Oc = 19°. He then correctly calculates the length and orientation of the fourth side D. What is his result? D = km OD = o west of south y A+B+ C + D = 0 C = 3.02 km D = ? km 6= ? D 16 B 7.5° B= 2.48 km A Figure 3.27arrow_forward
- I am confused on how to start this problem. I know I need to use the y(x,t)=Asin(kx+wt+phi) formula, but do I need to take the derivative of that once I enter in all the variables? I am referenceing the problem 14 in the pic I attached. Thanks!arrow_forwardA balloon is rising vertically over a point on the ground at the rate of 15 ft/sec. A point B on the ground level is located 32 ft from A. When the balloon is 48 ft from A, at what rate is its distance from B changing?arrow_forwardYou are trying reach the microwave antenna in a middle of the night. You locator tells you that you are 122.0 meters away from the location in the direction of 58 degree east of south. You traveled 72 meters due west along walk way. How much farther and what direction must you walk to reach the antenna. Please show the complete solution and drawing. Solution must be readable. Thank you.arrow_forward
- I’m confused on p 3.19.arrow_forwardTwo toy racecars race along a circular race track. Both cars start at the 3-o'clock position and travel in the CCW direction. Let t represent the number of seconds since the start of the race. Imagine angles with terminal rays that pass through each car as it moves. Car A is constantly 4.5 feet from the center of the race track and travels a constant speed. The angle with a terminal ray passing through Car A sweeps out 2.5 radians per second. Write an expression (in terms of t) that represents Car A's vertical distance above the center of the race track in feet.arrow_forwardThe minute hand on a clock is 0.5 m long . The center of the clock is at a height of 2.5 m off the ground. The hand is initially pointing at 12 o'clock , and it rotates for 1 hour a- make a sketch comparing the height of the minute hand ( relative to the ground ) in comparison to the angle of roatationarrow_forward
- A pirate has buried his treasure on an island with five trees located at the points (30.0m,220.0m),(60.0m,80.0m),(210.0m,210.0m),(40.0m,230.0m), and (270.0m,60.0m), all measured relative to some origin, as shown in above figure. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A,B,C,D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance,…arrow_forwardVector A had a magnitude A=5.7 and direction theta= 77.9 degrees measured clock wise from the -y-axis. What is the y-component? Specify your answer to three decimals.arrow_forwardGiven: JA = 19.3 10A = 29.1° B: B₂ = 35.7, By = -48.6 (a) Calculate the x-components and y-components of Ã. A₂ = Ā: Ay = 4. (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = 0. 0 OB= (c) Calculate the components of the vector sum of à + B = Č: C₁= 0c= Cy= 4. (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= 0arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher: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
Relative Velocity - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=_39hCnqbNXM;License: Standard YouTube License, CC-BY