Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 3, Problem 57P
To determine
To find:
Magnitude of
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Evaluate ∮ B → · d l → for each of the cases shown in the accompanying figure.
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Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What should be the length of B⃗ B→ so that the magnitude of their vector sum is 4.00?
Vector A⃗ A→ has a magnitude 5.00 and points in a direction 44.9° clockwise from the negative yyy axis. What are the xxx and yyy components of vector A⃗ A→.
AxAx = 1.76, AyAy = 1.77
AxAx = -3.53, AyAy = 3.54
AxAx = -1.76, AyAy = -1.77
AxAx = 3.53, AyAy = 3.54
AxAx = -3.53, AyAy = -3.54
Chapter 3 Solutions
Fundamentals of Physics Extended
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...
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- Vector A→ has a magnitude of 16.0 units, vector B→ has a magnitude of 25.0 units, and A→⋅B→ has a value of 14.0. What is the angle between the directions of A→ and B→?arrow_forwardVector B→ has magnitude 7.10 and direction 14.0° below the +x-axis. Vector C→ has x-component Cx = −2.00 and y-component Cy = −6.70. What angle does the vector C→−B→ make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis.arrow_forwardWhat is the x component of C→? In ordered pair notation, write down the components of vector B→. In ordered pair notation, write down the components of vector D→.arrow_forward
- What is the x-component and magnitude of A→?arrow_forwardThe x component of vector A→ is -13.5 m and the y component is +46.5 m. (a) What is the magnitude of A→? (b) What is the angle between the direction of A→ and the positive direction of x?arrow_forward(the complete question is in the picture) The vector in the figure has a magnitudeof 40.0 [m] and makes an angle of 15.0◦ with respect tothe y-axis. What is the component form of vector−→k ?A. 10.4 [m] ˆı − 38.6 [m] ˆB. 10.4 [m] ˆı + 38.6 [m] ˆC. −10.4 [m] ˆı − 38.6 [m] ˆD. −10.4 [m] ˆı + 38.6 [m] ˆarrow_forward
- In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from the +x direction, and vector C→ has a magnitude of 15.9 m and is angled 24.6° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B→? State your angle as a positive number.arrow_forwardVector B→B→ has magnitude 7.30 and direction 14.0° below the +x-axis. Vector C→C→ has x-component Cx = −2.00 and y-component Cy = −6.70. b. What is the y-component of B→B→ ? c. What is the magnitude of C→C→ ? d. What angle does C→C→ make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis. (answer in degreees) e. What is the magnitude of C→+B→C→+B→ ?arrow_forwardShown is a 10 by 10 grid, with coordinate axes x and y. The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A→ through D→. What is the x component of A→? What is the y component of A→? What is the y component of B→? What is the x component of C→?arrow_forward
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