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A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.?
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A famous relation in physics 'moving mass' m to the rest mass mo of a ...
The boy should keep "c" in the numerator (or) numerator is product of mo and c since the equation is same as E = mc but here we are taking reduced mass
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A famous relation in physics 'moving mass' m to the rest mass mo of a ...
Understanding the Relation Between Mass and Speed
The famous relation in physics connecting a moving mass (m) to its rest mass (mo) is derived from the theory of relativity. The correct expression is crucial for understanding how mass changes with speed.
Correct Formula
The correct equation should be:
m = mo / (1 - (v^2/c^2))^1/2
Here, the constant 'c' is essential as it represents the speed of light in a vacuum.
Where to Insert 'c'
- The boy's mistaken formula lacks the necessary context of light speed.
- The term 'v^2/c^2' compares the square of the object's speed (v) to the square of the speed of light (c), ensuring the expression remains dimensionally consistent.
Importance of 'c'
- Physical Significance: The inclusion of 'c' indicates that as an object approaches the speed of light, its mass increases significantly.
- Dimensional Analysis: The presence of 'c' maintains the balance in units, ensuring that the equation applies universally across different speeds.
Conclusion
In summary, the missing 'c' should be placed in the denominator within the square root, specifically in the term (v^2/c^2). This correction is vital for accurately expressing how mass behaves at relativistic speeds and ensuring the equation's validity in the realm of physics.
The famous relation in physics connecting a moving mass (m) to its rest mass (mo) is derived from the theory of relativity. The correct expression is crucial for understanding how mass changes with speed.
Correct Formula
The correct equation should be:
m = mo / (1 - (v^2/c^2))^1/2
Here, the constant 'c' is essential as it represents the speed of light in a vacuum.
Where to Insert 'c'
- The boy's mistaken formula lacks the necessary context of light speed.
- The term 'v^2/c^2' compares the square of the object's speed (v) to the square of the speed of light (c), ensuring the expression remains dimensionally consistent.
Importance of 'c'
- Physical Significance: The inclusion of 'c' indicates that as an object approaches the speed of light, its mass increases significantly.
- Dimensional Analysis: The presence of 'c' maintains the balance in units, ensuring that the equation applies universally across different speeds.
Conclusion
In summary, the missing 'c' should be placed in the denominator within the square root, specifically in the term (v^2/c^2). This correction is vital for accurately expressing how mass behaves at relativistic speeds and ensuring the equation's validity in the realm of physics.
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A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.?
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A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.?.
A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A famous relation in physics 'moving mass' m to the rest mass mo of a particle in terms of its speed v and the speed of light c . A boy recalls the relation almost correctly , but forgets ether to put the constant c . He writes : m = mo/(1-v^2)^1/2 Guess where to put the missing c.?.
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