Concept explainers
Magnitude and direction of resultant displacement.
Answer to Problem 60A
Magnitude of displacement will be 134.16 m and direction will be
Explanation of Solution
Given:
First displacement of 30 due south and then 30 m due east.
Formula Used:
The resultant of two vectors is given by,
Here, P and Q are two vectors which are perpendicular to each other.
Calculation:
It is given first displacement is 30 m due south.
Let
And then 30 m due east.
Let
From the vector principle when two vectors are perpendicular to each other then their resultant magnitude is given by,
Magnitude of displacement by graphical method is shown below.
It is given first displacement is 30 m due south.
Therefore,
Then 30 m due east.
Therefore,
So the resultant displacement will be,
Now direction of displacement will be,
Therefore direction of displacement will be
As the magnitude of displacement is same by both mathematical and by graphical method.
Conclusion:
Therefore, magnitude of displacement will be 134.16 m and direction will be
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Glencoe Physics: Principles and Problems, Student Edition
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