Vector C has a magnitude of 24.6 m and points in the-y-direction. Vectors A and B both have positivey-components, and make angles of a = 44.4° and ß = 26.7°Avith the positive and negative x-axis, respectively. If thevector sum A +B + C = 0, what are the magnitudes of A andAB?Ba|A| =m|B| =mFigure is not to scale.

Answered: Image /qna-images/answer/8b2fe3b1-86cf-42ef-8f01-4f15284e4c62.jpg

Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have positive y-components, and make angles of a = 44.4° and 26.7° Avith the positive and negative x-axis, respectively. If the vector sum A +B + C = 0, what are the magnitudes of A and B?

Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have positive y-components, and make angles of a = 44.4° and 26.7° Avith the positive and negative x-axis, respectively. If the vector sum A +B + C = 0, what are the magnitudes of A and B?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 50P: Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component...

See similar textbooks

Related questions

Q: Three displacement vectors of a croquet ball are shown in Figure, where |A| = 20.0 units, |B| = 40.0…

Q: The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the…

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

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.0°…

A: We will first break the vectors into the component in the perpendicular axes. We split them in the X…

Q: If vector A=[24, 160degrees] and vector B=[30, 40degrees] then what is the magnitude of 2A+B?

A: The magnitude of 2A+B can be calculated in given steps.Given:

Q: In midtown Monrovia, the street blocks have a uniform size of 80m × 20 m, with the shortest side…

A: The situation is represented in the diagram below. Let the distance walked towards the uptown is…

Q: vector A are: Ax = 5.1 m and Ay= -5 m and the components of B are: Bx= -2.6 m and Ay = -4.3 m. What…

A: This question is based on resultant of vectors.

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

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: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: under what circumstances would a vector have components that are equal in magnitude?

Q: A 5.1, = A = -5 y X B = -2.6, B = 4.3 X y

A: Given Ax=5.1 , Ay=-5 Bx=-2.6 , By=-4.3 Required magnitude of A+B

Q: The resultant of three vectors is 90.00 cm 34 degrees North of West. If two of these three vectors…

A: Resultant vector (R→) = 90 cm ( -cos(34o)i^ + sin(34o)j^)= -74.6i^ + 50.32j^ cm Let one of the…

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: Vector A has components ??=−7.40 and ??=−15.9 . What is the magnitude of this vector? ∣∣?⃗∣∣=…

Q: If the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the…

A: We know that magnitude of vector whose x and y components are a and b respectively is…

Q: If vector A A→ has components Ax and Ay and makes an angle θ with the +x axis, then 1) A=Ax+Ay…

Q: In the figure, which of the indicated methods for combining the x and y components of vector a are…

A: The vectors are always represented by arrows. The length of the arrow shows that the magnitude of…

Q: The x and y components of a displacement vector are –3.00 m and +4.00 m, respectively. What angle…

A: The x-component of the displacement vector is, sx=-3 m The y-component of the displacement vector…

Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

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

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

Q: 35 В - 9 m А - 5 m

A: The given values with suitable variables are listed below. Here, A denotes the magnitude of the…

Q: Vector a→a→ has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→ has a…

A: We resolve the given vector in component form, a→=25 unitsθ=20oax→=a→cosθ=25cos20o=23.49…

Q: Given vector A with a magnitude of 70 m and a direction of 30° with respect to the positive x-axis…

Q: If a force vector has a magnitude of 3.28 Newtons and points 79.1 degrees south of East, then what…

A: Given the magnitude of force, F = 3.28 N It points 79.1 degrees in south of east [SE] direction Its…

Q: Vector CC has a magnitude of 23.423.4 m and points in the −?‑−y‑direction. Vectors AA and BB both…

A: Given vector C which has magnitude is 23.4 m and direction in negative y axes Vector A makes angle…

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

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

Q: An airplane flies with a displacement vector ř. If the x-component of the plane is 132 km West and…

A: Draw the free-body diagram of the system. Calculate the resultant 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: Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km…

A: The vector A is in the second quadrant since it is 24o to the left of positive y axis. Write 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 magnitude of vector A" is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 with…

A: Given data: A magnitude of the vector A = 8.6 Vector lies in fourth quadrant Angle (θ) = 37° with…

Q: If a vector v has a magnitude 10.0 and makes an angle of 30° with the positive y-axis, find the…

Q: 42.0 31.0

Q: Vector B→B→ has magnitude 7.30 and direction 14.0° below the +x-axis. Vector C→C→ has x-component…

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: Vector CC has a magnitude of 22.222.2 m and points in the −?‑−y‑direction. Vectors AA and BB both…

Q: A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The…

A: Given : Magnitude of the vector in x-y plane, A = 30 units Magnitude of x component of the vector,…

Q: Vector D is in the direction 34.0 deg clockwise from the -y-axis. The x- component of Vector D is…

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

Q: Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have…

Q: What is the magnitude, X (in m2), of the cross product of a vector of magnitude 7.2 m vector…

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

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

Vector C has a magnitude of 24.6 m and points in the
-y-direction. Vectors A and B both have positive
y-components, and make angles of a = 44.4° and ß = 26.7°
Avith the positive and negative x-axis, respectively. If the
vector sum A +B + C = 0, what are the magnitudes of A and
A
B?
B
a
|A| =
m
|B| =
m
Figure is not to scale.

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
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?
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
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.
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.
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector R 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 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?
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
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.
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.