Physics for Scientists and Engineers
9th Edition
ISBN: 9781133947271
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 3, Problem 3.3OQ
Figure OQ3.3 shows two vectors
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The displacement vectors A and B shown in Figure P3.9 both have magnitudes of 3.00 m, The
direction of vector A is 0 = 30.0°. Find graphically
9.
(a) +B,
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(c) B - 7, and
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(d) A- 2B. (Report all angles counterclockwise from the positive = axis.)
Figure P3.9
Problems 9 and 25.
. Given 4 vectors with magnitude of 200 for V1, 200 for V2, and 150 for V3 and 100 for V4. V1 has an inclination of 30*NE, V2 is 37* SE, V3 0*W and V4 is 45*NW. What is the resultant and its direction?
Three displacement vectors of a cro-
quet ball are shown in Figure P3.22,
where A| =
40.0 units, and |C| = 30.0 units. Find
(a) the resultant in unit-vector nota-
tion and (b) the magnitude and direc-
tion of the resultant displacement.
20.0 units, B|
Chapter 3 Solutions
Physics for Scientists and Engineers
Ch. 3 - Which of the following are vector quantities and...Ch. 3 - The magnitudes of two vectors A and B are A = 12...Ch. 3 - If vector B is added to vector A, which two of the...Ch. 3 - Choose the correct response to make the sentence...Ch. 3 - For which of the following vectors is the...Ch. 3 - What is the magnitude of the vector (10i 10k)...Ch. 3 - A vector lying in the xy plane has components of...Ch. 3 - Figure OQ3.3 shows two vectors D 1, and D2. Which...Ch. 3 - The culling tool on a lathe is given two...Ch. 3 - The magnitude of vector A is 8 km, and the...
Ch. 3 - Let vector point from the origin into the second...Ch. 3 - Yes or no: Is each of the following quantities a...Ch. 3 - What is the y component of the vector (3i 8k)...Ch. 3 - What is the x component of the vector shown in...Ch. 3 - What is the y component of the vector shown in...Ch. 3 - Vector lies in the xy plane. Both of its...Ch. 3 - A submarine dives from the water surface at an...Ch. 3 - A vector points from the origin into the second...Ch. 3 - Is it possible to add a vector quantity to a...Ch. 3 - Can the magnitude of a vector have a negative...Ch. 3 - Prob. 3.3CQCh. 3 - Prob. 3.4CQCh. 3 - Prob. 3.5CQCh. 3 - The polar coordinates of a point are r = 5.50 in...Ch. 3 - The rectangular coordinates of a point are given...Ch. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 3.4PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Let the polar coordinates of the point (x, y) be...Ch. 3 - A surveyor measures the distance across a straight...Ch. 3 - Vector A has a magnitude of 29 units and points in...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - A plane flies from base camp to Lake A, 280 km...Ch. 3 - A vector has an x component of 25.0 units and a y...Ch. 3 - Vector has a magnitude of 35.0 units and points in...Ch. 3 - A minivan travels straight north in the right lane...Ch. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Obtain expressions in component from for the...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - While exploring a cave, a spelunker starts at the...Ch. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 3.23PCh. 3 - A map suggests that Atlanta is 730 miles in a...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - A novice golfer oil the green takes three strokes...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - In a game of American football. a quarterback...Ch. 3 - Consider the three displacement vectors m, m,...Ch. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Prob. 3.37PCh. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Express in unit-vector notation the following...Ch. 3 - A radar station locates a sinking ship at range...Ch. 3 - Review. As it passes over Grand Bahama Island, the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - In Figure P3.33, the line segment represents a...Ch. 3 - In an assembly operation illustrated in Figure...Ch. 3 - A fly lands on one wall of a room. The lower-left...Ch. 3 - As she picks up her riders, a bus driver traverses...Ch. 3 - A jet airliner, moving initially at 300 mi/h to...Ch. 3 - A person going for a walk follows the path shown...Ch. 3 - Find the horizontal and vertical components of the...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - An air-traffic controller observes two aircraft on...Ch. 3 - In Figure P3.55, a spider is resting after...Ch. 3 - The rectangle shown in Figure P3.56 has sides...Ch. 3 - A vector is given by R=2i+j+3k. Find (a) the...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Lei A = 60.0 cm at 270 measured from the...Ch. 3 - After a ball rolls off the edge of a horizontal...Ch. 3 - Review. The instantaneous position of an object is...Ch. 3 - Ecotourists use their global positioning system...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A pirate has buried his treasure on an island with...
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- A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16arrow_forwardWhat is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forwardFigure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13arrow_forward
- A particle undergoes three consecutive displacements given vectors D1 = (3i-4j-2k)mm, D2 = (1i-7j+4k)mm and D3= (-7i+4j+1k)mm. What is the resultant displacement vector of particle and its magnitude? Thank you for the help. I keep getting lost.arrow_forwardQ1 B: Consider these two vectors A-2i+3j+5k and B-5i+3j+10k, find the following D=AXBarrow_forwardWhich of the following vector operations doesn't make sense? O V(V × E) O V x (V × E) O V(V · E): o v²(V · E):arrow_forward
- Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have mag- nitudes of 3.00 m and vector A makes an angle of 0 = 30.0° with the x axis. Express the resultant Á + B in unit-vector notation.arrow_forwardVector A > +x L. +y Vector A is shown. Which of the following options represents A,, the r component of vector A? O A cos(0) O-Asin(0) O-A cos(6) O A sin(6)arrow_forwardGiven u = 144i − 17j, what are the magnitude and direction of −3u? Round to the nearest whole number. a 145; 97° b 145; 276° c 435; 173° d 435; 353° Vector v has a magnitude of 80 and a direction θ = 60°. What are the magnitude and direction of 4v? a 20; 240° b 80; 60° c 320; 240° d 320; 60°arrow_forward
- 9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)arrow_forwardWhen adding vectors (3,30°) + (5,120) + (7,225°), what is the magnitude of the resultant? О 3.96 O 2.81 О 5.72 O 6.47 O 4.93arrow_forwardProblem 3-44a: Three vectors A, B, and C have X components of -7.0, -3.0, 0.0, respectively, and y components of -3.0, 5.0, 8.0, respectively. Find the magnitude of A + B + C. Problem 3-44b: Find the direction of A + B + C in degrees. (NOTE: angles are entered as values between 0° and 180°.)arrow_forward
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