(a)
To draw the vector diagram of motion of a boat across stream and the velocity of the boat relative to water.
(a)
Answer to Problem 1SP
The vector diagram is shown in the figure 1 and the velocity of the boat relative to water is labelled as
Explanation of Solution
Given info: The velocity of the boat in still water is
Following figure gives the diagram of the vector form of the motion of boat across the figure.
Figure 1
The figure 1 shows the velocity of water as
Conclusion:
Therefore, the vector diagram is shown in the figure 1 and the velocity of the boat relative to water is labelled as
(b)
To determine the magnitude of the velocity of boat relative to the Earth.
(b)
Answer to Problem 1SP
The magnitude of the velocity of boat relative to the Earth is
Explanation of Solution
Write the expression to find the magnitude of the resultant of two vectors
Here,
Substitute
Conclusion:
Therefore, the magnitude of the velocity of boat relative to the Earth is
(c)
To determine the time taken for the boat to cross the stream.
(c)
Answer to Problem 1SP
The time taken for the boat to cross the stream is
Explanation of Solution
Write the expression for the time taken for boat to cross the stream.
Here,
Substitute
Conclusion:
Therefore, the time taken for the boat to cross the stream is
(d)
To determine the distance from starting point till the ending point along the downward flow of the stream.
(d)
Answer to Problem 1SP
The distance from starting point till the ending point along the downward flow of the stream is
Explanation of Solution
Write the expression to find the distance of the between the starting and ending point of the boat along the flow of the stream.
Here,
Substitute
Conclusion:
Therefore, the distance from starting point till the ending point along the downward flow of the stream is
(e)
To determine the distance travelled by the boat before reaching the opposite bank.
(e)
Answer to Problem 1SP
The distance travelled by the boat before reaching the opposite bank is
Explanation of Solution
Write the expression to find the magnitude of the resultant of two vectors
Here,
Substitute
Conclusion:
Therefore, the distance travelled by the boat before reaching the opposite bank is
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Chapter 20 Solutions
Physics of Everyday Phenomena
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