An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72" north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: A = 50 m NE B = 180 m 72° NW C = 150 m S Resultant Given Thus, the magnitude of the resultant vector is R= With direction of 8 = m NW x-component (w/ sign direction) Therefore, the vector needed for him to successfully get back home is Rhome = m OSE m m m m y-component (w/ sign direction) m m m m

An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72" north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: A = 50 m NE B = 180 m 72° NW C = 150 m S Resultant Given Thus, the magnitude of the resultant vector is R= With direction of 8 = m NW x-component (w/ sign direction) Therefore, the vector needed for him to successfully get back home is Rhome = m OSE m m m m y-component (w/ sign direction) m m m m

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: The resultant of three vectors is 90.00 cm 34degree N of W. If two of these three vectors are 17.89…

A: first vector (A→) = 17.89 cm @ 27o west of southsecond vector (B→) = 36 cm due north westresultant…

Q: Let A= (3.0 m, 200 south of east), B = (2.0 m, north), and C= (5.0 m, 700 south of west). Draw and…

Q: What vector quantity is involved in the following problem?

Q: After 30 min of undisrupted flying since taking off the plane starts to drift off course due to…

Q: A snake crawls 10 m in a direction 30o north of east. What is the direction of the greatest…

Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…

Q: nobhow domwoH (3 1. Consider a constant force F of magnitude 10N acting over a displacement of…

Q: A pumpkin is shot with an initial speed of 72 m/s and 37.0° angle with respect to the ground. What…

A: Given data: Initial velocity (u) = 72 m/s Angle (θ) = 37.0°, with respect to the ground g = 10.0…

Q: At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are…

Q: Margaret walks to the store using the following path: 0.710 mi west, 0.350 mi north, 0.270 mi east.…

A: Given data: Firstly walk 0.710 mi, due West Then 0.350 mi, due North Then 0.270 min, due East…

Q: What is the Resultabt magnitude if the following vectors are added using the component method? A= 75…

Q: Graphical method: A plain traveling northeast (45°) has a displacement of 10 km in this direction.…

A: The net displacement(c).given,a→=10 km in NE(direction)b→=10 km in E(direction)

Q: A light plane attains an airspeed of 530 km/h. The pilot sets out for a destination 750 km due north…

Q: The y-component of a vector having length 150 m at an angle of 30° with x-axis will be equal to..

A: vector, R = 150 m Angle, A = 30 degree from + X axis

Q: Example:- Given two vectors: A is 6 units CEROND Jong and makes anangle of 36 with the ik positive…

Q: Exercise 5: Consider the displacement vector Ã = (31 +31) m, B = (Î – 5ĵ) m, and Ċ = (-i + 4ĵ) m.…

A: Given:- The displacement vector A→=3i^+3j^ m B→=i^-5j^ m C→=-i^+4j^ m Find:- a ) D→=…

Q: A motor vehicle travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north. Find…

A: Given: Motor vehicle travels 20 km along north & turns 60∘west for 35 km.

Q: You are riding a sailboat in the open sea. Because of the winds in the area, you sail 2.00 km east,…

Q: your are given two vectors, A = 14 m at 35 degreed and B = 25 m at -60 dgreed. find (a) the…

A: Step 1:Step 2:Step 3:

Q: A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses…

Q: The figure below illustrates typical proportions of male (m) and female (f) anatomies. The…

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

A: as wee know that perimeter of the circle =P=2πR couple traveled 3/4 around the circular lake wee…

Q: Q.5 (a) What is difference between Scalar Quantity and Vector Quantity , Why do sometimes need to…

Q: A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses…

Q: 4. Given the following three displacement vectors A, B and C shown below, determine the angle…

A: Given that The magnitude of the vectors are A=15mB=42mC=15m And their angles are α=75oβ=65oγ=30o So…

Q: A disoriented professor drives 5.5 km east, then 4.2 km north then 2.5 km northwest. Find the…

A: Polygon method : It is a method useful in finding out resultant by taking algebraic sum of all…

Q: You walk 30 m at 10 degree East of North, you then walk 40 m at 20 degree South of West. You then…

A: Distance d1 = 30 m 10 ° east of north Distance d2= 40 m 20° South of west Distance d3 = 90 m.…

Q: hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her…

A: we have to evaluate the displacement of the hiker from the base camp.

Q: Hurricane lota is considered the strongest hurricane in history to hit Nicaragua. As Iota passed…

Q: Problem 8: Consider two vectors A and B, expressed in unit vector notation as A = a¡i+ azj and B =…

A: Given: A=a1i + a2jB=b1i + b2 j

Q: Which of the following displacement vectors has an x component of -15.0 km and a y component of…

A: R=-152+152+0

Q: An airplane is travelling at 620 km/h on a heading of 305°. The wind of 80 km/h is flowing from a…

A: Given:- |Va|=620 km/h θa = 305° |Vw|= 80 km/h θw= 260° Lets use polar form of vector representation…

Concept explainers

Scalars and Vectors

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

Question

An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72" north of west, and then 150 m due south. Save the explorer from becoming hopelessly
lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter.
Solution
By vector-component approach, we list down the given in a table as follows:
A = 50 m NE
B = 180 m 72° NW
C = 150 m S
Resultant
Thus, the magnitude of the resultant vector is
R=
Given.
With a direction of
8=
m
ONW
x-component (w/ sign direction)
Therefore, the vector needed for him to successfully get back home is
Rhome =
וח
O SE
m
m
y-component (w/ sign direction)
m
m
m

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

Conclusion

Trending now

This is a popular solution!

Step by step

Solved in 4 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 hiking girl needs to go 59.3 km straight North to get to base camp, instead the compass confuses her and she travels 33.208 km at a 4.9° deflection East from straight North. Then she realizes what she has done and so guesses an angle of 18.4° deflection West of straight North and then hikes 46.254 km. What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)
1. An explorer caught in a whiteout (the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.6 km, but when the snow clears, he discovers that he actually traveled 7.8 km at 50° north of due east. (a) How far and (b) in what direction must he now travel to reach base camp? (c) Draw the vector along which he was supposed to travel, the vector that he actually travelled, and the vector which got him back to base camp. (5.02 km at 4° SofW)
A light plane attains an airspeed of 530 km/h. The pilot sets out for a destination 750 km due north but discovers that the plane must be headed 17.0° east of due north to fly there directly. The plane arrives in 2.00 h. What were the (a) magnitude and (b) direction of the wind velocity? Give the direction as an angle relative to due west, where north of west is a positive angle, and south of west is a negative angle. (a) Number (b) Number IN Units Units
Explain why a vector cannot have a component greater than its own magnitude.
An object moved 8.0 cm toward the positive x-axis and then 6.0cm at an angle of 60° with the positive x axis. Find the resultant of the vectors.
A ship is traveling at 32 km/h in the South Atlantic, 30 degrees N of W, when it meets a wind with an average speed of 17 km/h moving in the direction of 20 degrees E. A ship passenger wishes to ascertain the ship's resulting velocity. Assist him by solving for the vector resultant using the component technique and filling in the spaces below.
answer all the blank