While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m north, 94.2 m east, 58.4 m at an angle 30.0° south of east, and 29.2 m south. Find the magnitude of the resultant displacement from the cave entrance in meters.

While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m north, 94.2 m east, 58.4 m at an angle 30.0° south of east, and 29.2 m south. Find the magnitude of the resultant displacement from the cave entrance in meters.

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: What are the (a) x and (b) y components of the vector that must be added to the following three…

Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

Q: A vector has an x component of -26.0 units and a y component of 40.2 units. Find the magnitude and…

A: Solution:

Q: Question 14 A displacement vector is 23 km in length and directed 65° south of east. What are the…

Q: A man walked 11 km towards the north, turned east and walked 6 km, then he turned south and walked 3…

A: Given data: - The distance traveled in the north direction is N = 11 km. The distance traveled in…

Q: Displacement vector i points due east and has a magnitude of 3.45 km. Displacement vector 3 points…

A: Answer is uploaded in 2nd step.

Q: Consider two displacements, one of magnitude 12 m and another of magnitude 16 m. What angle between…

A: The expression for the angle,

Q: Write the final magnitude and direction of the resultant vector. Include a properly labeled diagram…

A: solution as

Q: A man leaves his front door, walks 1000 ft east, 2000 ft north, and then takes a penny from his…

Q: The two vectors d and b inthe figure have equal magnitudes of 12.5 m and the angles are e1 = 26° and…

Q: Find the resultant vector using: Vector A= 20 km, 30° N of E Vector B= 15 km. 20° W of S Vector C=…

Q: 1.33 • Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is…

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 71.5 m…

Q: A vector A has components Ax = −6.50 m and Ay = 8.50 m. Find the magnitude (in m) and the…

A: (a) Magnitude of A is 10.7m.

Q: The components of vector A'are given as follows: Ax = 10.5 Ay = 15.2. What is the magnitude of the…

Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

Q: Given Five vectors whose lengths and direction – senses are as follows: Aa is 1.5 inch long and 90…

Q: A vector A has components Ax = −4.00 m and Ay = 3.50 m. Find the magnitude (in m) and the…

A: Given:X-component of the vector, Ax = −4.00 mY-component of the vector, Ay = 3.50 m

Q: A person walks 29.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Displacement of person = 2.40 km in a direction 29o north of east

Q: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

Q: use the sum by components method to determine the resulting vector of the following vectors: A =…

A: Write the sum of components in horizontal direction.…

Q: A geologist is surveying a cave. She follows a path 170m straight west, then 250 m in the direction…

A: The path followed by the geologist is as follows : R1=170 m due west (-x direction), R2=250 m 45o…

Q: Vector A has components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

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

Q: Since the magnitude of the vector A is 6 units and its direction is north, the magnitude of the…

Q: a vector A (-4i-2j)and a vector B (-2i-4j) the vector A makes an angle with the positive x axis…

A: The angle made by point A (x, y) with positive x –axis , when it lies in different quadrant of x-y…

Q: the x-direction and the y-direction of the displacement vector are Rx = 0.3 mi and Ry = 0.2 mi, what…

Q: If the angle between the vector A and the positive x-axis is 40°. What is the x component of the…

Q: A vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…

A: Given, the magnitude of vector A = 15, the angle made with the x-axis, 25° the magnitude of vector B…

Q: The vector B has components Bx -2.10 m and By = -1.70 m. Find the direction angle, for this vector?

A: Given: B→=Bx→+By→=-2.10 i^-1.70 j^ m

Q: Which of the following could not be the magnitude of the vector sum of a 25-meter displacement…

Q: A person starts walking from home and walks: 3 miles East 4 miles Southeast 6 miles South 7 miles…

Q: Use the graphical technique for adding vectors to find the total displacement of a person who walks…

A: Take a graph paper, scale, and protector. On the graph paper, assume the length of 1 by 1 block is 5…

Q: the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and…

Q: A vector has a magnitude of 17 units and makes an angle of 20 degrees with the positive x-axis. The…

A: Magnitude, A = 17 units Angle, θ = 20 degrees (with the positive x-axis) Horizontal component, Ax =…

Q: If Vx = 7.90 units and Vy = -6.20 units, determine (a)the magnitude and (b)direction of V⃗

A: Consider the situation in the diagram below.

Q: A vector A has a magnitude of 7 units and points in the -y-direction, while a vector B has double…

Q: Using a scale drawing to find the magnitude and direction of: a) the vector sum A + B; b) the…

A: a) The vector sum is represented in the figure given below:

Q: A person walks 30.0 north of east for 3.80km. How far due north and how far due east would she have…

Q: A displacement vector is 23 km in length and directed 65° south of east. What are the components of…

A: clearly, x component is positive and y component is negative

Q: A person starts walking from home and walks: 3 miles East 4 miles Southeast 6 miles South 7…

Q: A girl delivering newspapers covers her route by traveling 2.75 blocks west, 3.00 blocks north, and…

A: Taking an east direction as positive magnitude, west direction as negative magnitude and north…

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (a)…

Q: If a vector →A→ has the following components, use trigonometry to find its magnitude and the…

A: Introduction: Vector is the quantity which depends on direction as well as magnitude. Whereas,…

Q: The x- and y- components of a displacement vector are -7.00 m and 8.00cm, respectively. What angle…

Q: Vector A is 2.00 units in length and points along the positive x axis. Vector B is 7.00 units in…

A: Given The vector B in the negative y axis is By=-7 unit. The vector A in the negative x axis is…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m north, 94.2 m east, 58.4 m at
an angle 30.0° south of east, and 29.2 m south. Find the magnitude of the resultant displacement from the cave entrance in meters.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

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.
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from the top of a tall building following the path shown in Figure P1.40. Figure P1.40
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51
What is the x component of the vector shown in Figure OQ1.9? (a) 3 cm (b) 6 cm (c) 4cm (d) 6cm (e) none of those answers Figure OQ1.9 Objective Questions 9 and 10.
A commuter airplane starts from an airport and takes the route shown in Figure P1.71. The plane first flies to city A, located 175 km away in a direction 30.0 north of east. Next, it flies for 150. km 20.0 west of north, to city B. Finally, the plane flies 190. km due west, to city C. Find the location of city C relative to the location of the starting point. Figure P1.71
What is the y component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers
What is the x component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answers
A surveyor measures the distance across a straight river by the following method (Fig. P1.6). Starting directly across from a tree on the opposite bank, she walks d = 100 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is 0 = 35.0. How wide is the river? Figure P1.6
For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent of , and (c) the sine of ? Figure P1.45
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.