13. ssm A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed with respect to due west?

13. ssm A highway is to be built between two towns, one of which lies 35.0 km south and 72.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed with respect to due west?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 29P: A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast,...

See similar textbooks

Related questions

Q: Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km 58°…

Q: The resultant of three vectors is 90.00 cm 34° N of W. If two of these three vectors are 17.89 cm…

A: Given, Resultant of three vectors, R = 90.00 cm at 34° N of W two vectors, A→ = 17.89 cm 27° W of…

Q: The resultant of three vectors is 90.00 cm 34o N of W. If two of these three vectors are 17.89 cm…

Q: Three vectors A = 2i+j-k, B = i+j-2k, and C = i +3j-k, where SB + C is perpendicular to A, the value…

Q: A dog in an open field runs 10.0 m east and then 30.0 m in a direction 55.0(degree) west of north.…

Q: Determine the magnitude and the coordinate direction angles of the resultant

Q: 3. Consider the following three displacement vectors: Vector A has a magnitude of 3.90 km and a…

A: Vector A = 3.90 km @29o north of west Vector B = 6.30 km @25o north of west Vector C = 4.10 km @53o…

Q: If a vector has components Ax > 0, and Ay < 0, then the angle that this vector makes with the…

Q: A novice golfer on the green takes three strokes to sink the ball. The successive displacements of…

Q: 39. ssm The x vector component of a displacement vector ř has a mag- nitude of 125 m and points…

Q: Convert these vectors to scale: Vector A= 20 km, 30° N of E Vector B 15 km, 20° W of S Vector C= 25…

Q: Problem #1: For vectors A = -5i+j and B = 31-21, calculate %3D (a) A+B and its magnitude and…

Q: •15 SSM ILW WWW The two vec- tors a and b in Fig. 3-28 have equal magnitudes of 10.0 m and the…

Q: Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same…

A: Suppose there are two vectors A→ and B→. According to the question, we have to answer if it is…

Q: If vector A has components Ax = -3.0 lb and Ay= -4.0 lb, and vector %3D B has components Bx = 3.0 lb…

Q: Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length…

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Two vectors A and B have precisely equal magni- tudes. For the magnitude of Á + B to be larger than…

A: given,

Q: 15 SSM ILW www The two vec- tors d and b in Fig. 3-28 have equal magnitudes of 10.0 m and the angles…

A: Since you have asked multiple subparts, we will solve the first three for you. If you want a…

Q: A vector has an x-component A, > 0 and has an angle 0 with respect to the +x-axis. Which of the…

Q: 2. Given 3 vectors: Vector 1 is 500N at 30°, Vector 2 is 300N at 150° and Vector 3 is 400N at 270°,…

A: Given data: Force (F1) = 500 N at 30° Force (F2) = 300 N at 150° Force (F3) = 400 N at 270°…

Q: What is the principal angle a vector located at 52° South of East? O 308° O 142° O 238° о 38°

A: Given, A vector , 52° South of East . Principal angle is the angle in anticlock wise direction from…

Q: According to the text, there are two equations from which the five equations may be derived by…

A: Here, X=displacement V=velocity T=time A=acceleration

Q: 5. ssm In diving to a depth of 750 m, an elephant seal also moves 460 m due east of his starting…

Q: Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same…

A: The vector sum of A→ and B→ is calculated as, A→+B→=A2+B2+2ABcosθ Where θ theta is the angle between…

Q: 62. GO A pilot flies her route in two straight-line segments. The displace- ment vector A for the…

Q: 3. A student adds two displacement vectors with magnitudes of 6.0m and 8.0 m, respectively. Which…

A: To determine: The magnitude and resultant which is not possible from the choice given, for a student…

Q: 85 N Find the direction and magnitude of the resultant vector for the drawing of two forces. 110N…

A: Take the horizontal direction to be x-axis and the vertical direction to be y-axis. Take the vector…

Q: Vector A>has a magnitude of 50 units and points in the positivex direction. A second vector,…

Q: Into which quadrant do each of the following vectors point? A Quadrant II 90°<0く180° Quadrant I 0"…

A: Questions based on vectors and quadrant system

Q: The resultant of three vectors is 90.00 cm 34o N of W. If two of these three vectors are 17.89 cm…

Q: 35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an…

Q: *65. ssm Vector A has a magnitude of 6.00 units and points due east. Vector B points due north. (a)…

A: Let x axis be east direction, and y axis be the north direction. Consider the figure

Q: *43. ssm mmh The magnitude of the force vector F is 82.3 newtons. The x component of this vector is…

Q: 1. Consider two displacement vectors Ā = (-2î + 4f) m and B = (î – 3f) m, find the magnitude and…

A: 1. Given: A→=-2i^+4j^ mB→=i^-3j^ m

Q: 35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an…

Q: 2. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 7.80 km…

Q: 35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an…

Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

Q: Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and direction…

A: Write the vector A. A=2i+6j Write the vector B. B=3i-2j

Q: A surveyor sights a target at C from points A and B, recording the angles shown. Determine the…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: For vector addition, we resolve each vector into horizontal and vertical components and then add…

Q: ector A has a magnitude of 15.0 units and it points in a direction 310° counterclockwise from the…

A: Ax=Acosθ=15.0 unitscos310°=9.64 units

Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

Q: Find the direction of vector A=-29i+53j counterclockwise from the positive x axis.

Q: (II) Three vectors are shown in Fig. 3–35. Their magnitudes are given in arbitrary units. Determine…

Question

13. ssm A highway is to be built between two towns, one of which lies
35.0 km south and 72.0 km west of the other. What is the shortest length
of highway that can be built between the two towns, and at what angle
would this highway be directed with respect to due west?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.
The displacement vectors 42.0 cm at 15.0 and 23.0 cm at 65.0 both start from the origin and form two sides of a parallelogram. Both angles are measured counterclockwise from the x axis. (a) Find the area of the parallelogram. (b) Find the length of its longer diagonal.
A hiker begins a trip by walking 25 km southwest from the base camp. On the next day she walks 40km in a direction 60 degrees north of east, at which point she discovers a forest rangers' tower. Determine the magnitude and direction of the hiker's resultant displacement using the cosine and sine law.
1. The cross product of j x i isa. 0 b.1 c. –k d. -1 2. An airplane travels 200 miles due west and then 150 miles 600 north of west. What isthe resultant?a. 304.1 mi NE b. 304.1 mi SE c. 304.1 mi WS d. 304.1 mi NW
Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length and points along a direction 31 degrees from the positive x-axis, and vector C is 9 units and points along a direction 160 degrees. What is the direction of the resulatant with respect to the positive x-axis in degrees?
Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as (c) a magnitude and (d) an angle relative to +x (including sign plus or minus).P→: 16.0 m, at 16.0o counterclockwise from +xQ→: 7.00 m, at 6.80o counterclockwise from +yR→: 23.0 m, at 33.0o clockwise from -yS→: 24.0 m, at 47.0o counterclockwise from -y
A golfer on level ground attempts to drive a golf ball across a 50 meter wide pond by hitting the ball so that it travels initially at 25m/s at an angle of 45 degrees to the horizontal plane. How far will the golf ball travel?
A fishing boat heads due northwest at 20.0 m/s across a river with 140° that flows due southeast at 10.0 m/s. What is the MAGNITUDE (Cosine Law) and DIRECTION (Sine Law) of the vector?