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# Suppose a pilot flies 40.0 km in a direction 60º north of ## Problem 24PE Chapter 3

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

Step 5 of 6

##### 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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