College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 10P
a. What are the x- and y-components of vector
Figure P3.10
b. For the same vector, what are the x- and y-components in terms of the angle ϕ and the magnitude E?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A rectangular parallelepiped has dimensions a, b, and c as
shown in Figure P3.45. (a) Obtain a vector expression for
the face diagonal vector R,. (b) What is the magnitude
of this vector? (c) Notice that R, ck, and R, make a right
triangle. Obtain a vector expression for the body diagonal
vector R2.
b
Ro
R1
Figure P3.45
A. DRAWING AND ESTIMATING THE VECTOR COMPONENTS
Sketch the given vectors; determine the direction of the two components by circling two directions
(N, S, E or W). Finally indicate which component (or effect) is greatest in magnitude.
45 km, 300°
10 km, 265°
200 mi, 150°
N
-E
W-
E
W-
E
S
Components: E W N S Components: E W NS Components: E W NS
Greatest magnitude?
Greatest magnitude?
Greatest magnitude?
a. What are the x- and y-components of vector E→ shown in terms of the angle θ and the magnitude E? b. For the same vector, what are the x- and y-components in terms of the angle Φ and the magnitude E?
Chapter 3 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 3 - a. Can a vector have nonzero magnitude if a...Ch. 3 - Is it possible to add a scalar to a vector? If so,...Ch. 3 - Suppose two vectors have unequal magnitudes. Can...Ch. 3 - Suppose C=A+B a. Under what circumstances does C =...Ch. 3 - For a projectile, which of the following...Ch. 3 - A baseball player throws a ball at a 40 angle to...Ch. 3 - An athlete performing the long jump tries to...Ch. 3 - A person trying to throw a ball as far as possible...Ch. 3 - If you kick a football, at what angle to the...Ch. 3 - A passenger on a jet airplane claims to be able to...
Ch. 3 - If you go to a ski area, youll likely find that...Ch. 3 - In an amusement-park ride, cars rolling along at...Ch. 3 - There are competitions in which pilots fly small...Ch. 3 - A cyclist goes around a level, circular track at...Ch. 3 - You are cycling around a circular track at a...Ch. 3 - An airplane has been directed to fly in a...Ch. 3 - When you go around a corner in your car, your car...Ch. 3 - Which combination of the vectors shown in Figure...Ch. 3 - Two vectors appear as in Figure Q3.19. Which...Ch. 3 - The gas pedal in a car is sometimes referred to as...Ch. 3 - A car travels at constant speed along the curved...Ch. 3 - A ball is fired from a cannon at point 1 and...Ch. 3 - A ball thrown at an initial angle of 37.0 and...Ch. 3 - A cannon elevated at 40 is fired at a wall 300 m...Ch. 3 - A car drives horizontally off a 73-m-high cliff at...Ch. 3 - A football is kicked at an angle of 30 with a...Ch. 3 - A football is kicked at an angle of 30 with a...Ch. 3 - Riders on a Ferris wheel move in a circle with a...Ch. 3 - Formula One race cars are capable of remarkable...Ch. 3 - A car goes around a corner in a circular arc at...Ch. 3 - A position vector with magnitude 10 m points to...Ch. 3 - A velocity vector 40 above the positive x-axis has...Ch. 3 - Jack and Jill ran up the hill at 3.0 m/s. The...Ch. 3 - Josh is climbing up a steep 34 slope, moving at a...Ch. 3 - A cannon tilted upward at 30 fires a cannonball...Ch. 3 - a. What are the x- and y-components of vector E of...Ch. 3 - Draw each of the following vectors, then find its...Ch. 3 - Draw each of the following vectors, then find its...Ch. 3 - Each of the following vectors is given in terms of...Ch. 3 - Each of the following vectors is given in terms of...Ch. 3 - A wildlife researcher is tracking a flock of...Ch. 3 - You begin sliding down a 15 ski slope. Ignoring...Ch. 3 - A car traveling at 30 m/s runs out of gas while...Ch. 3 - In the Soapbox Derby, young participants build...Ch. 3 - A piano has been pushed to the top of the ramp at...Ch. 3 - A car turns into a driveway that slopes upward at...Ch. 3 - Anita is running to the right at 5 m/s, as shown...Ch. 3 - An airplane cruises at 880 km/h relative to the...Ch. 3 - Anita is running to the right at 5 m/s, as shown...Ch. 3 - Raindrops are falling straight down at 12 m/s when...Ch. 3 - A boat takes 3.0 h to travel 30 km down a river,...Ch. 3 - Two children who are bored while waiting for their...Ch. 3 - A ball is thrown horizontally from a 20-m-high...Ch. 3 - A ball with a horizontal speed of 1.25 m/s rolls...Ch. 3 - A pipe discharges storm water into a creek. Water...Ch. 3 - A pipe discharges storm water into a creek. Water...Ch. 3 - Two spheres are both launched horizontally from a...Ch. 3 - A rifle is aimed horizontally at a target 50 m...Ch. 3 - A gray kangaroo can bound across a flat stretch of...Ch. 3 - On the Apollo 14 mission to the moon, astronaut...Ch. 3 - A sprinkler mounted on the ground sends out a jet...Ch. 3 - A good quarterback can throw a football at 27 m/s...Ch. 3 - Racing greyhounds are capable of rounding corners...Ch. 3 - To withstand g-forces of up to 10 gs, caused by...Ch. 3 - The Scion iQ is a compact car that is capable of...Ch. 3 - In a roundabout (or traffic circle), cars go...Ch. 3 - A particle rotates in a circle with centripetal...Ch. 3 - Entrance and exit ramps for freeways are often...Ch. 3 - A peregrine falcon in a tight, circular turn can...Ch. 3 - A particle rotates in a circle with centripetal...Ch. 3 - Suppose D=AB where vector A has components Ax = 5,...Ch. 3 - Suppose E = 2A+3B where vector A has components Ax...Ch. 3 - For the three vectors shown in Figure P3.47, the...Ch. 3 - Prob. 48GPCh. 3 - A typical set of stairs is angled at 38. You climb...Ch. 3 - A pilot in a small plane encounters shifting...Ch. 3 - A small plane, 100 km due south of the equator, is...Ch. 3 - A skier gliding across the snow at 3.0 m/s...Ch. 3 - A block slides along the frictionless track shown...Ch. 3 - When the moving sidewalk at the airport is broken,...Ch. 3 - Ships A and B leave port together. For the next...Ch. 3 - A flock of ducks is trying to migrate south for...Ch. 3 - A kayaker needs to paddle north across a...Ch. 3 - A plane has an airspeed of 200 mph. The pilot...Ch. 3 - The Gulf Stream off the east coast of the United...Ch. 3 - A physics student on Planet Exidor throws a ball,...Ch. 3 - A ball thrown horizontally at 25 m/s travels a...Ch. 3 - In 1780, in what is now referred to as Bradys...Ch. 3 - The longest recorded pass in an NFL game traveled...Ch. 3 - A spring-loaded gun, fired vertically, shoots a...Ch. 3 - Small-plane pilots regularly compete in message...Ch. 3 - In a shot-put event, an athlete throws the shot...Ch. 3 - Trained dolphins are capable of a vertical leap of...Ch. 3 - A tennis player hits a ball 2.0 m above the...Ch. 3 - The shot put is a track-and-field event in which...Ch. 3 - Water at the top of Horseshoe Falls (part of...Ch. 3 - A supply plane needs to drop a package of food to...Ch. 3 - A child slides down a frictionless 3.0-m-long...Ch. 3 - A sports car is advertised as capable of reaching...Ch. 3 - A Ford Mustang can accelerate from 0 to 60 mph in...Ch. 3 - The Screaming Swing is a carnival ride that isnot...Ch. 3 - On an otherwise straight stretch of road near...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...Ch. 3 - Riding the Water Slide A rider on a water slide...
Additional Science Textbook Solutions
Find more solutions based on key concepts
8. A human maintaining a vegan diet (containing no animal products) would be a:
a. producer
b. primary consume...
Human Biology: Concepts and Current Issues (8th Edition)
When you rub your cold hands together, the friction between them results in heat that warms your hands. Why doe...
Anatomy & Physiology (6th Edition)
5.6 In Drosophila, the map positions of genes are given in map units numbering from one end of
a chromosome to...
Genetic Analysis: An Integrated Approach (3rd Edition)
What is the difference between cellular respiration and external respiration?
Human Physiology: An Integrated Approach (8th Edition)
S
10. FIGURE EX6.10 shows the velocity graph of a 2.0 kg object as it moves along the x-axis. What is the net ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
The glycine cleavage system is a group of four enzymes that together catalyze the following reaction: glycine+T...
Organic Chemistry (8th 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
- The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42arrow_forwardA glider aircraft initially traveling due west at 85.0 km/h encounters a sudden gust of wind at 35.0 km/h directed toward the northeast (Fig. P3.62). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)arrow_forwardA Three vectors are shown in Figure P3.44, but they are not drawn to scale. The sum of the three vectors is R=F1+F2+F3. If Ry = 0 and F2 = 0.5F3, find Rx in terms of F1.arrow_forward
- A particle moves along a path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? (a) when the path is circular. (b) when the path is straight. (c) when the path is a parabola. (d) never. (ii) From the same choices, in which case are its acceleration and velocity vectors perpendicular everywhere along the path?arrow_forwardA velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm 100 m/s. a. What is the length of the arrow that Clarisse draws? b. Francoiss arrow is half as long as Clarisses. What is Francoiss scale? c. Is one students choice better than the other? If so, what makes it a better scale?arrow_forwardWhat are the magnitude and direction of a vector that has an x component of 33.0 units and a y component of 45.0 units?arrow_forward
- Q/ A particle moves in an xy plane according to x(1)= -20.00 + 20.00t - 4.00 and y(t) = 25.00 + 17.00t -19.00², with x and y in meters and t in seconds. At t= 10 s, a. What is the particle velocity vector vì nunit vector notation? b. What is the particle acceleration vector đìn unit vector notation?arrow_forward#26arrow_forwarda. Vector 'a' has magnitude 5.0m and is directed east. T 2 Vector 'b' has magnitude 4.0m and is directed 350 west of north. What are (a) the magnitude and (b) the direction of 'a +b'? d. Is it possible for a body moving on a circular track to have zero acceleration? Explain vividly if Yes or No e. An electron moving along the x axis has a position given by is the electron from the origin when it momentarily stops? x = (16tet) m, where t is in seconds. How far Dizamarrow_forward
- 20.C. a. The "magnitude" of a vector is its size. Every magnitude is always positive: yes, or no? b. Given the coordinate system seen to the right, increasing numbers are upward and decreasing numbers are downward, Any vector with a negative value must point up or down? If a vector is a positive number, then which way does it point (up or down)? X = surface c. A student is doing a free fall problem and finds that a = -9.8 m/s², = 5m, v = 3 m/s. If you think of the origin O as the earth's Then draw the three vectors: position, velocity and acceleration on The axis to the right. T 8 9 10 1- 8. -10 -9arrow_forwardQ3/ A/ Let a=3i+2j and b-j+2k a. Find a unit vector n that is orthogonal to both a and b. b. Express a Xb in terms of la X b| and n. Q3/B/ Find the distance from the point to the plane (0, 1, 1), 4y + 3z = -12arrow_forwardWhat is the angel a vector A =2i - 2j makes with the +x axis? O A. 135° O B. 225° O C. 45° O D. 315°arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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