College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3CQ
Suppose two vectors have unequal magnitudes. Can their sum be
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Students have asked these similar questions
Vector A has a magnitude of 3.60 m and a direction of 60.0° measured
counterclockwise from the +y axis in the xy plane. Vector B has a magnitude of
2.40 m and a direction of 30.0° measured clockwise from the -x axis in the xy plane.
→>>
What is vector Cin component form?
7=2
= 2.00A-3.00B.
7. Given two vectors A= -3.00i + 13.00j +
7.00k and B= 1.00i-10.00j- 6.00k, (a) find
the magnitude of each vector and (b) find
the magnitude of the vector difference A -
B. Is this the same as the magnitude of B-
A? Explain.
8. Vector A is in the direction 37.0° clockwise
from the x axis. The x-component of A is Ax
= -16.0 m. (a) What is the y-component of
A? (b) What is the magnitude of A?
9. Vector A has y-component Ay = +8.70 m. A
makes an angle of 36.0° counterclockwise
from the +y-axis. (a) What is the x-
component of A? (b) What is the magnitude
of A?
10. A disoriented physics professor drives 4.25
km north, then 2.3 km west, and then 1.50
km south. Find the magnitude and
direction of the resultant displacement,
using the method of components.
Suppose that u and v are vectors in R'. Decide whether each statement is always true or not always true. Be sure you can explain why your answers are correct!
+ 1. ủ · ở = ở · ủ
2. ů xi = -(3 xủ)
?
3. (-ū) × (-i) = -u x i)
4) 4. (-i) = -α . b)
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...
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- Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forwardA vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardThe magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.arrow_forward
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