Suppose a pilot flies 40.0 km in a direction 60º north of

College Physics by Urone | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone

Problem 24PE Chapter 3

College Physics by Urone | 1st Edition

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College Physics by Urone | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone

College Physics by Urone | 1st Edition

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Problem 24PE

 Problem 24PE

Suppose a pilot flies 40.0 km in a direction 60º north of east and then flies 30.0 km in a direction 15º north of east as shown in Figure 3.63. Find her total distance R from the starting point and the direction θ of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass.

Step-by-Step Solution:

 Problem 24PE

Solution 24PE

Step 1 of 6 :

In this question, we need to find the direction and magnitude of the resultant vector

Condition given for resultant

                

We also need to quantitatively how wind from north can alter the flight, and the effect depends on speed of plane and relative air mass  

Data given

 

Considering given figure

Step 2 of 6 :

From the figure we understand that we need to find the resultant vector

Case 1 :

We shall find x and y  component to vector A

It is given by

                

Substituting values we get

                

                

                

Similarly y component is given by

                

Substituting values we get

                

                

                

Thus we have component as  and component as

Case 2:

We shall find x and y  component to vector B

It is given by

                

Substituting values we get

                

                

                

Similarly y component is given by

                

Substituting values we get

                

                

                

Thus we have component as  and component as

Step 3 of 6 :

Now we shall find components of resultant vector

Case 3:

We get component of resultant vector as

        

Substituting values we get

                        

                        

Case 4 of 6  :

We get component of resultant vector as

        

Substituting values we get

                        

                        

Thus we have  components of resultant vector  as and

Step 4 of 6

Chapter 3, Problem 24PE is Solved
Step 5 of 6

Textbook: College Physics by Urone
Edition: 1st
Author: Paul Peter Urone
ISBN: 9781938168000

The full step-by-step solution to problem: 24PE from chapter: 3 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This textbook survival guide was created for the textbook: College Physics by Urone, edition: 1st. This full solution covers the following key subjects: wind, direction, North, Flies, speed. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. College Physics by Urone was written by and is associated to the ISBN: 9781938168000. Since the solution to 24PE from 3 chapter was answered, more than 5126 students have viewed the full step-by-step answer. The answer to “Suppose a pilot flies 40.0 km in a direction 60º north of east and then flies 30.0 km in a direction 15º north of east as shown in Figure 3.63. Find her total distance R from the starting point and the direction ? of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass.” is broken down into a number of easy to follow steps, and 89 words.

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