A jogger runs 77 meters in a direction 20 degrees east of north (Ajand then 27 meters in a direction 35 degrees south of east(B. What is the total displacement, in meters, of the jogger? note: Cis a resultant vector

A jogger runs 77 meters in a direction 20 degrees east of north (Ajand then 27 meters in a direction 35 degrees south of east(B. What is the total displacement, in meters, of the jogger? note: Cis a resultant vector

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 95A

See similar textbooks

Related questions

Q: 7. An airplane heading 275 km/h west while the wind is blowing it 70 km/h north.

Q: Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis. You will be…

A: Given data: Angle of vector A with + x-axis = 30° Angle of vector B with - y-axis = 35° Magnitude of…

Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

A: Given F1=20 N to eastF2=20 N to westF3=10 N to north…

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

Q: What is the x-component of a vector with a magnitude of 73 cm, 41° South of eas

A: Given: The magnitude of the vector is 73 cm. The direction of the vector is 41o South of East. The…

Q: a.) The magnitude of the force vector b.) The X component of the force vector

A: A) Analyze the following figure. The given vector can be represented as, Here, Fx, Fy, and F…

Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

Q: Illustrate the following vectors and calculate the resultant vector. Show your process and box your…

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: Find the vector sum of the following three vectors A=1.00mat0º, B=2.00m at 150ºand C=1.50mat20º.All…

A: The given data are: A=1 mθ1=0°B=2 mθ2=150°C=1.5 mθ3=20°

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.340 west of…

Q: to GRAPHICALLY use the following individual vectors find the resultant vector in the first three…

A: Solution: 1. A+B: First draw the line A starting from origin O. Then, draw the line B from where the…

Q: The x-component of vector A is -42, and the angle it makes with the positive x-direction is 130o.…

Q: Classify each quantity as a vector, a scalar, or it cannot be determined. In the figure, Arrow A has…

A: they give you a table of quantity in which you have to classify that the quantity is scalar or…

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

A: Vector.

Q: What are the x and y components of a vector of magnitude 100 making an angle of 45? with the…

Q: If a ball has a vertical component of 3cm and a horizontal component of 4cm. What is the magnitude…

Q: a : ax :-2; ay -5 6: bg = 4; by = –6 What is the direction (in degrees) of the resultant vector if…

Q: If d is just a number, for what value of d is the vector A=2i+2j+4k perpendicular to the vector B=…

A: When the vectors are perpendicular, then their dot product will be zero.…

Q: A runway dog walks 0.64 km due N.He then runs fue W to a hotdog stand.If the magnitude of the dog's…

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of…

Q: Vector a→a→ has components ax = −4.20 m/s2 and ay = +7.30 m/s2. a. What is the magnitude of the…

Q: What is the resultant vector that represents the overall travel history a dolphin if its movement is…

Q: A vector has a horizontal component of -14 and vertical component of 22, what is the magnitude of…

Q: Imagine two force vectors, one of magnitude 2.00 N, and the other of magnitude 3.00 N. The…

A: When both the vectors are in same direction then there magnitude(length representation) will get…

Q: Use the component method of vector addition to find the components of the resultant of the four…

A: A = 2.25 cos 60 degree i + 2.25 sin 60 degree j B = 6.35 cos 20 degree i - 6.35 sin 20 degree j c =…

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

Q: What are the x- and y-components of the vector which has a magnitude 4.5 and points 150 west of…

Q: Vector A has a magnitude of 3.0 units and makes an angle of-90.0° with the positive x-axis. Vector.…

Q: Three vectors (A, B, and C) are shown in the vector diagram below. The magnitude of vector A is 60.0…

A: A→ = 60 i^ NB→ = 85 [ -Sin25oi^ + cos 25oj^] NB→ = -35.9 i^ + 77 j^ NC→ = 105 [ -Cos35oi^…

Q: For the vectors shown in the figure below, answer the following question: В The vector R is given by…

A: vector R=19.23i-12.75j magnitude of vector R is 23 unit, And direction from x-axis is -33.54o…

Q: A car travels 87 miles north and then 114 miles west. What is the magnitude of the car's resultant…

Q: "If a vector -A is added to A, then the resultant will be" O 2A A O A

A: Resultant of two vector's addition is given by: R = R1 + R2 Given that Vector R1 = -A And Vector R2…

Q: If two vectors have magnitude of 5 and 12 respectively, and are right angles to each other then what…

A: Let, the two vectors be named as 'A' and 'B' given : magnitude of vector A = 5 magnitude of vector…

Q: If vector Á has components Ax = -3.0 lb and Ay = -4.0 lb, and vector B has components By = 3.0 lb…

Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: What are the components of a vector of magnitude 1.7 m at an angle of 37 degrees from the positive x…

A: Let say we have a vector of magnitude A making angle * with x axis then x component will be A…

Q: Two campers in a national park hike from their cabin to the same spot on a lake, each taking a…

A: Given data: x-component of a vector A which is making an angle θ with the x-direction, is given as…

Q: What is the y-component of vector B if it has an angle of 30 degrees with a positive x-axis?

A: Here given a vector B which is making an angle 30° with the positive x -axis. We have to find the…

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given information:Magnitude of the vector (r) = 20.0 mInclination of the vector (θ) = 20.00

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

A: We are allowed to give the explanation of first question only which is given below. Please repost…

Q: What is the magnitude of the resultant vector: D+F?

A: Solution:-

Q: ector A has components ??=−10.4 and ??=10.4 What is the magnitude of this vector? Find the angle θ…

A: Vector A can be written as; A=-10.4i→+10.4j→

Q: If vector B is added to vector A, under what condition does the resultant vector have magnitude A +…

A: The sum of two or more vectors is called the resultant. The resultant of two vectors can be found…

Q: Vector A has a magnitude of 3.0 units and makes an angle of-90.0° with the positive x-axis. Vector.…

A: Given that:- Magnitude of vector A=3 unit Magnitude of vector B=4 unit

Q: if a is 35.0 meters 47 degrees of south of east and b is 19.5 meters north, what is the magnitude…

Concept explainers

Scalars and Vectors

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

Question

A jogger runs 77 meters in a direction 20 degrees east of north (A)and then 27 meters in a direction 35 degrees south of east(B). What
is the total displacement, in meters, of the jogger?
note: Č is a resultant vector

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

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.
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?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
What 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 answers
Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.
The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.
Figure 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 OQ1.13
A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
A force vector A has x and y components, respectively, of -8.80 units of force and 15.00 units of force. The x and y components of force vector B are, respectively, 13.20 units of force and -6.60 units of force. Find the components of force vector C that satisfies the vector equation AB+3C=0 .
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?
Give an example of a nonzero vector that has a component of zero.