The distance between the ship and the destination. Also, the direction followed by ship to reach the destination.
Answer to Problem 65A
The distance between the ship and the destination is
The ship has to travel
Explanation of Solution
Given:
The initial distance between the ship and the port due south is
The wind blows the ship 100 km due east from its original position.
Formula used:
The resultant of two perpendicular vectors is,
Where, P and Q are two vectors.
Calculation:
For the given situation consider the figure as shown below.
Consider the initial position of the ship is denoted by pointO and the position of the port is denoted by P.
The initial distance between the ship and the port is
The ship is moved from position O to position N by the wind, such that
The shortest distance between the new position of the ship and the port is denoted by NP.
Find the distance between the new position of the ship and the destination (port) as follows.
Apply Pythagoras theorem in
Hence, the distance between the new position of the ship and the port is
Consider the ship has to sail
The angle
Conclusion:
Therefore, the ship has to sail
Chapter 5 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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