A boat travels at 15 m/s in a direction 45° east of north for an hour. The boat then turns and travels at 18 m/s in a direction
5° north of east for an hour. What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number. m/s What is the direction of the boat’s resultant velocity? Round your answer to the nearest whole degree. ° north of east
2 answers:
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Answer:
Explanation:
Given:
- average walking speed,
- average biking speed,
<u>According to given condition:</u>
where:
time taken to reach the building by walking
time taken to reach the building by biking
We know that,
so,
Answer:
the magnitude of first force = 3 × 5= 15 N
ANd, the magnitude of second force = 5 × 5 = 25 N
Explanation:
The computation of the magnitude of the each force is shown below:
Provided that
Ratio of forces = 3: 5
Let us assume the common factor is x
Now
first force = 3x
And, the second force = 5x
Resultant force = 35 N
The Angle between the forces = 60 degrees
Based on the above information
Resultant force i.e. F = √ F_1^2 +F_2^2 + 2 F_1F_2cos
35 = √[(3x)²+ (5x)²+ 2 (3x)(5x) cos 60°]
35 =√ 9x² + 25x² + 15x² (cos 60° = 0.5)
35 = √49 x²
x = 5
So, the magnitude of first force = 3 × 5= 15 N
ANd, the magnitude of second force = 5 × 5 = 25 N