A disoriented physics professor drives 5.18 km east, then 6.20 km north, then 2.05 km west. Find the magnitude and direction of the resultant displacement using the method of component.

Q: A hiker walks along the city streets 15 km north, then 7 km east.  What is the direction of the…

A:

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

A:

Q: An airplane travels at 4.5 x 10^2 km due east and then travels an unknown distance due north.…

A: Distance is the path covered in total journey.

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: A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0…

A:

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 girl delivering newspapers covers her route by traveling 7.00 blocks west, 4.00 blocks north, and…

A:

Q: A truck travelsdue East for a distance of 1.1km, turns around and goes due west for 6km, and finally…

A: Move towards east = 1.1 km.Turn around and move towards west = 6 kmTurn around and move towards east…

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: A slelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

A:

Q: Vector  A has a magnitude of 72 units and  point due west while  Vector  B has the same  magnitude…

A:

Q: A particle undergoes the following displacements: 3.50 m south, 8.25 m 45 degrees NE, 5.75m 34…

A: first leg of displacement (d1) = 3.50 m due south second leg of displacement (d2) = 8.25 m @45o…

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…

A:

Q: A person walks 35° south of west for 4.56 km. How far due west and how far due south does the person…

A:

Q: What is the resultant vector of a vector A 5m going to South and vector B 6 m going to West?

A:

Q: What is the resultant of vector A=5m West, B=10m 30° South of West and C=15m South using component…

A: A = 5 m West, B = 10 m at 30° South of West C = 15 m South  Write the displacements in the vector…

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

A:

Q: What vector subtracted from 100km North give 200 km North 60 degrees East?

A:

Q: The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along…

A:

Q: QI. Find the vector sum of the following four displacements on a map: 60 mm north; 30 mm west; 40 mm…

A:

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 boy walk 140 m due north, 85 m due east, 35 m due southeast, 38 m due west and then  19 m due…

A:

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: 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→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: Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm…

A:

Q: A hiker begins a trip by walking 25 km southwest from the base camp. On the next day she walks 40km…

A: Draw the vector diagram for the complete trip.

Q: A bee, searching for nectar, flies 100 m east, 150 m south, and then 200 m west. Find the magnitude…

A: Given, 1st direction= 100 m east, then 150 South and then 200 West.   To Find- Total displacemnt

Q: An object undergoes the following displacements: 3.2 m, south; 5.0 m, 30° north of east; 4.5 m,…

A:

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: While exploring a cave, a spelunker starts at the entrance and moves the following distances. She…

A: Given, While exploring a cave, She goes  75 m North, 250 m east, 125 m at an angle 30° north of…

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: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00…

A: distance travelled in south = 20.0 m/s x (3.00x60 sec)= 3600 m west =  25.0 m/s x ( 2.00x60 sec) =…

Q: A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a…

A:

Q: Displacement vector  A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…

A:

Q: A postal employee drives a delivery truck along the following route. He drives 7km due east, 2km due…

A:

Q: 3 km due south.

A: The situation is represented as:

Q: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

Q: During the Vector Addition lab, Mac and Tosh start at the classroom door and walk 40.0 m, north,…

A: walking distances: 40.0 m; north 32.0 m; east 15.5 m; south 2.5 m; north

Q: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,…

A: Below is graph for given vectors:

Q: A runaway dog walks 0.64 km due north. He then runs due west to a hot dog stand. If the magnitude of…

A:

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

A:

Q: In the Vector Addition Lab, Anna starts at the classroom door and walks: 2.0 meters, West 12.0…

A: The displacements in either of the directions is given by 2 m in West 12 m in North 31 m in West 8 m…

Q: A truck starts out at position x = 3.2 mi and y = 6.2 mi and winds up at position x = 5.6 mi, y =…

A: Given that, The initial position of the vehicle  =    r1→=3.2i^+6.2j^ The final position of the…

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 baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

Q: Vector M has an x-component of 8.5 km and a y-component of 16.0 km. What is the length of Vector M?

A: Any two-dimensional vector A→ can be written as:A→=ax^+by^ Therefore, the length of the vector A→ is…

Q: Determine the magnitude and direction of the resultant force. Express the resultant force using…

A:

Scalars and Vectors

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