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A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.
Correct answer is '526000000'. Can you explain this answer?
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A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angl...
The x and y components of the Velocity in S’; frame are given by
Here, ux = 6x107cos 600 = 3x107m/sec, uγ= 6*107sin 60° =
and V = 3x107m/sec •
Therefore
Also,
Hence the velocity in S' frame is
This means that the particle will appear to an observer in S’ to be moving along the Y- axis with velocity 5.2 * 107 m /sec.
Here, ux = 6x107cos 600 = 3x107m/sec, uγ= 6*107sin 60° =
and V = 3x107m/sec •Therefore
Also,
Hence the velocity in S' frame is
This means that the particle will appear to an observer in S’ to be moving along the Y- axis with velocity 5.2 * 107 m /sec.
Most Upvoted Answer
A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angl...
To determine the magnitude of the velocity in system S, we can use the components of the velocity in the X and Y directions.
Given that the velocity is 6 * 10^7 m/sec at an angle of 60 degrees with the X-axis, we can find the X and Y components of the velocity using trigonometry.
The X component of the velocity is given by:
Vx = V * cos(angle)
Vx = 6 * 10^7 * cos(60)
Vx = 6 * 10^7 * 0.5
Vx = 3 * 10^7 m/sec
The Y component of the velocity is given by:
Vy = V * sin(angle)
Vy = 6 * 10^7 * sin(60)
Vy = 6 * 10^7 * (√3/2)
Vy = 3√3 * 10^7 m/sec
Now, to find the magnitude of the velocity, we can use the Pythagorean theorem:
Magnitude = sqrt(Vx^2 + Vy^2)
Magnitude = sqrt((3 * 10^7)^2 + (3√3 * 10^7)^2)
Magnitude = sqrt(9 * 10^14 + 27 * 10^14)
Magnitude = sqrt(36 * 10^14)
Magnitude = 6 * 10^7 m/sec
Therefore, the magnitude of the velocity in system S is 6 * 10^7 m/sec.
Given that the velocity is 6 * 10^7 m/sec at an angle of 60 degrees with the X-axis, we can find the X and Y components of the velocity using trigonometry.
The X component of the velocity is given by:
Vx = V * cos(angle)
Vx = 6 * 10^7 * cos(60)
Vx = 6 * 10^7 * 0.5
Vx = 3 * 10^7 m/sec
The Y component of the velocity is given by:
Vy = V * sin(angle)
Vy = 6 * 10^7 * sin(60)
Vy = 6 * 10^7 * (√3/2)
Vy = 3√3 * 10^7 m/sec
Now, to find the magnitude of the velocity, we can use the Pythagorean theorem:
Magnitude = sqrt(Vx^2 + Vy^2)
Magnitude = sqrt((3 * 10^7)^2 + (3√3 * 10^7)^2)
Magnitude = sqrt(9 * 10^14 + 27 * 10^14)
Magnitude = sqrt(36 * 10^14)
Magnitude = 6 * 10^7 m/sec
Therefore, the magnitude of the velocity in system S is 6 * 10^7 m/sec.
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A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.Correct answer is '526000000'. Can you explain this answer?
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A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.Correct answer is '526000000'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.Correct answer is '526000000'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.Correct answer is '526000000'. Can you explain this answer?.
A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.Correct answer is '526000000'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.Correct answer is '526000000'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle has a velocity 6 * 107 m/ sec in the X - Y plane at an angle of 60o with X - axis in the system S. Determine the magnitude of its velocity (in m/Sec) in system S’. When S’ has a velocity 3 * 107 m/ sec along the positive x-axis.Correct answer is '526000000'. Can you explain this answer?.
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