Fundamentals Of Physics - Volume 1 Only
11th Edition
ISBN: 9781119306856
Author: Halliday
Publisher: WILEY
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Chapter 3, Problem 57P
To determine
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Magnitude of
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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?
Three vectors →A , →B, and →C have the following x and y components:
x-component
y-component
→A
-9.00
6.00
→B
8.00
-6.50
→C
0.00
5.50
What is the magnitude of R→=A→−B→−C→ ?
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 - Volume 1 Only
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 - Prob. 31PCh. 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 - Prob. 42PCh. 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 - Prob. 46PCh. 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 - Prob. 60PCh. 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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- Given u = −7i − 5j and v = −10i − 9j, what is projvu? a −9.937i − 8.943j b −6.956i − 4.968j c −6.354i − 5.718j d −4.448i − 3.177jarrow_forwardVector 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_forward
- Vector a→a→ has components ax = −4.20 m/s2 and ay = +7.30 m/s2. a. What is the magnitude of the vector a→a→ ? answer in m/s^2b.What is the direction of a→a→ ? Enter the angle in degrees where positive indicates an angle counterclockwise from the +y-axis and negative indicates an angle clockwise from the +y-axis. answer in degreesarrow_forward2 tanx 4) lim r→0 3x If f(x) = x? + 3 and g(x) = Vx+ 1, then Df+garrow_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
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- 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_forwardà ở từ if a = 2.8i+ 5.7 j – 8.1k, = b = − 4.9î + 4.4ĵ + 3.8k, and What are (a) the x component, (b) the y component, and (c) the z component of 7 1.8î + 2.8ĵ + 4.6k . (d) Calculate the angle between and the positive z axis. (e) What is the component of a along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of b but in the plane of a and b? =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_forward
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