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Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity?
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Two velocities of 8m/s and 6m/s are at right angles to each other.Find...
Explanation:
To solve this problem, we can use the Pythagorean theorem and trigonometry.
Finding the Magnitude of Resultant Velocity:
According to the Pythagorean theorem, the magnitude of the resultant velocity can be found by adding the squares of the two velocities and taking the square root of the sum.
Resultant velocity = √(8² + 6²) = √100 = 10m/s
Finding the Angle Made by the Resultant with the First Velocity:
To find the angle made by the resultant with the first velocity, we can use trigonometry.
tanθ = opposite side/adjacent side = 6/8 = 0.75
θ = tan⁻¹(0.75) = 36.87°
Therefore, the angle made by the resultant with the first velocity is 36.87 degrees.
Conclusion:
The magnitude of the resultant velocity is 10m/s, and the angle made by the resultant with the first velocity is 36.87 degrees.
To solve this problem, we can use the Pythagorean theorem and trigonometry.
Finding the Magnitude of Resultant Velocity:
According to the Pythagorean theorem, the magnitude of the resultant velocity can be found by adding the squares of the two velocities and taking the square root of the sum.
Resultant velocity = √(8² + 6²) = √100 = 10m/s
Finding the Angle Made by the Resultant with the First Velocity:
To find the angle made by the resultant with the first velocity, we can use trigonometry.
tanθ = opposite side/adjacent side = 6/8 = 0.75
θ = tan⁻¹(0.75) = 36.87°
Therefore, the angle made by the resultant with the first velocity is 36.87 degrees.
Conclusion:
The magnitude of the resultant velocity is 10m/s, and the angle made by the resultant with the first velocity is 36.87 degrees.
Community Answer
Two velocities of 8m/s and 6m/s are at right angles to each other.Find...
Magnitude is 10
and angle is cos inverse 4/5
and angle is cos inverse 4/5
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Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity?
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Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity?.
Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two velocities of 8m/s and 6m/s are at right angles to each other.Find the magnitude of the resultant velocity and the angle made by the resultant with the first velocity?.
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