**Vector Addition: Determine the Resultant Vector**_Add the following component vectors and determine the resultant (You might want to draw them):_**Vector A** = 35 m/s, south **Vector B** = 28 m/s, east**Options:**- 45 m/s, 39 degrees east of south- 45 m/s, 51 degrees east of south- 7.9 m/s, 35 degrees east of north- 7.9 m/s, 22 degrees north of east**Explanation (If needed):**To solve for the resultant vector, follow these steps:1. Draw vectors A and B on a coordinate system based on the given directions.2. Use the Pythagorean theorem to calculate the magnitude of the resultant vector (R), since vectors A and B are perpendicular to each other: \[ R = \sqrt{(A^2 + B^2)} \]3. Find the direction of the resultant vector by using trigonometric functions, such as the tangent function to determine the angle θ relative to the east (or south): \[ \theta = \arctan{\left(\frac{\text{opposite side}}{\text{adjacent side}}\right)} \]

Answered: Image /qna-images/answer/6ad27faa-622b-406c-832e-f84d3beae03e.jpg

Add the following component vectors and determine the resultant. (You might want to draw them). Vector A = 35 m/s, south Vector B = 28 m/s, east O 45 m/s, 39 degrees east of south O 45 m/s, 51 degrees east of south O 7.9 m/s, 35 degrees east of north O 7.9 m/s, 22 degrees north of east

Add the following component vectors and determine the resultant. (You might want to draw them). Vector A = 35 m/s, south Vector B = 28 m/s, east O 45 m/s, 39 degrees east of south O 45 m/s, 51 degrees east of south O 7.9 m/s, 35 degrees east of north O 7.9 m/s, 22 degrees north of east

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector A from…

Q: Two vectors A and B are given by A = 51 +61 + 7k and B = 31-8j + 2k. If these two vectors are drawn…

A: The two vectors are, Required:-The angle between the two vectors.

Q: A hiker walks along the city streets 4.0 km north, then 3.0 km west. What is the magnitude of the…

Q: Vector V₁ has a magnitude of 3.47 and points along the positive x-axis. 1 Vector V₂ has a magnitude…

A: The objective of the question is to find the magnitude of the vector sum of two vectors V1 and V2.…

Q: The magnitude of vector A is 235.0 m and it points in the +y axis direction. The magnitude of vector…

Q: Two vectors, A= (AA) = (2.42, 1.36) and B=(B₂B) = (2.59, 1.61) are added. Find the angle of the…

A: GIVEN DATA:Two vectors are given: = (Ax , Ay) = (2.42, 1.36) = (Bx , By) = (2.59, 1.61) These…

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: During a walk through a park, a person wanders to look at three different gardens. The person makes…

Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

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: Vector = 6.0 m and points 30° north of east. Vector = 6.0 m and points 30° east of north. The…

Q: = Consider the three displacement vectors A = (-41 - 31) m, B = (51- 3ĵ) m, and Ĉ method to…

A: Vector.

Q: Calculate the magnitude and direction of A

A: From the Vector Law of Addition consider North as positive and south as negative( as they are…

Q: The x component of vector A is -15.8 m and the y component is +52.0 m. (a) What is the magnitude of…

A: Given that x component of A→ = - 15.8m and y component of A→ =…

Q: Vector A has a magnitude of 37 units and points in the positive y direction. When vector B is added…

Q: Displacement vector A points due east and has a magnitude of 1.9 km. Displacement vector B points…

A: Given: The magnitude of vector A is 1.9 km due east. The magnitude of vector B is 2.44 km due north.…

Concept explainers

Scalars and Vectors

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

Question

**Vector Addition: Determine the Resultant Vector**

_Add the following component vectors and determine the resultant (You might want to draw them):_

**Vector A** = 35 m/s, south
**Vector B** = 28 m/s, east

**Options:**

- 45 m/s, 39 degrees east of south
- 45 m/s, 51 degrees east of south
- 7.9 m/s, 35 degrees east of north
- 7.9 m/s, 22 degrees north of east

**Explanation (If needed):**

To solve for the resultant vector, follow these steps:
1. Draw vectors A and B on a coordinate system based on the given directions.
2. Use the Pythagorean theorem to calculate the magnitude of the resultant vector (R), since vectors A and B are perpendicular to each other:
\[
R = \sqrt{(A^2 + B^2)}
\]
3. Find the direction of the resultant vector by using trigonometric functions, such as the tangent function to determine the angle θ relative to the east (or south):
\[
\theta = \arctan{\left(\frac{\text{opposite side}}{\text{adjacent side}}\right)}
\]

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

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

Displacement vector A is 3.50 km. north. Displacement vector B is 3.0 km, 50 degrees North of east. Find the resultant vector using the laws of sines and cosines.
That was not correct
vector A is 15 m at an angle of 28° and vector B is 30. m at angle of 224°. What is the resultant vector 33 m at 196 degrees 33 m at 252 degrees O 16.1 m at 59 degrees O 16 m at 59 degrees 16 m at 240 degrees 16.1 at 239 degrees
Vector A has a magnitude of 8.70 units and makes an angle of 41.0° with the positive x-axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods find the following. (a) The vector sum A + B. Magnitude of A + B: Direction of A + B: (b) The vector difference A - B. Magnitude of A - B: Direction of A - B: units ° counterclockwise from +x-axis units ° counterclockwise from +x-axis
Vector A has magnitude 27 and direction 168°. Vector B has magnitude 39 and direction 270°. Find the resultant vector R, which is the sum of these two vectors.
Vector A has a magnitude of 10.84 m and points 16° north of east. Vector B has a magnitude of 6.91 m and points 17° west of north. The direction of the resultant vector A + B is:
A vector A has component Ax = 12 m and Ay =5 m. What is the angle that vector A makes with the Y axis? 22.62 degrees 55.49 degrees 65 degrees 20.6 degrees 42.82 degrees
Vector a is 15 units and vector b, which makes 90° with vector a is 20 units. Find the difference between a and b.
Given 3 vectors: Vector 1 is 500N at 300, Vector 2 is 300N at 1500 and Vector 3 is 400N at 2700, what is the magnitude of the resultant vector?
In the diagram shown, vector Y has a magnitude +y Y = 0.70 m of 0.70 [m] and is directed 25° E of N. Vector W has a magnitude of 82 [N] and is directed 50° S of E. What is the vector product Y x W? A. 52.02 [N · m], into the page 25 +x 50° B. 52.02 [N · m]), out of the page C. 18.58 [N · m], into the page W = 82 N D. 18.58 [N · m], out of the page
Draw the following vectors. A= 50 units, 500, B= 100 units, 950, C= 120 units, 1700, D= 150 units, 2300 and E= 200 units, 2500
Vector A has magnitude 11 and angle 24°. Vector B has magnitude 11 and angle 114°. (a) What is the magnitude of the resultant vector? (b) What is the angle of the resultant vector in degrees?