Conceptual Physics: The High School Physics Program
Conceptual Physics: The High School Physics Program
9th Edition
ISBN: 9780133647495
Author: Paul G. Hewitt
Publisher: Prentice Hall
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Chapter 5, Problem 20A

For Questions 20—21, recall that the resultant V of two vectors A and B at right angles to each other is found using the Pythagorean theorem: V = A 2 + B 2

Calculate the resulting speed of an airplane with an airspeed of 120 km/h pointing due north when it encounters a wind of 90 km/h directed from the west. (Recall, speed is the magnitude of velocity.)

Expert Solution & Answer
Check Mark
To determine

Magnitude of resultant speed of airplane.

Answer to Problem 20A

Resultant velocity is, v=150 km/h

Explanation of Solution

Given :

Velocity of airplane in north direction is, va=120 km/h

Formula used :

  R=A2+B2

Where, R is resultant vector, A and B are two vectors which are perpendicular to each other.

Calculation :

Velocity of airplane and velocity of wind is represented by below figure.

  Conceptual Physics: The High School Physics Program, Chapter 5, Problem 20A

Here, both velocity are perpendicular to each other.

Therefore, magnitude of their resultant velocity will be,

  v=va2+vw2

Now, substituting the value of va and vw solve.

  v=1202+902=14400+8100=150 km/h

Conclusion :

Therefore, magnitude of resultant velocity airplane is 150 km/h.

Chapter 5 Solutions

Conceptual Physics: The High School Physics Program

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