Concept explainers
(a)
The power
(a)
Answer to Problem 51AP
The power
Explanation of Solution
Given Info:
The wave function for string is given as,
Formula to calculate the velocity of wave for small segment of string is,
Here,
Substitute
Assume the mass presents in the small segment
Here,
Formula to calculate the kinetic energy for small segment is,
Here,
Substitute
Integrate the equation (2) over all the string elements in the wavelength of the waves for total kinetic energy.
Formula to calculate the potential energy for string in small segment is,
Here,
Substitute
Integrate the equation (4) over all the string elements in the wavelength of the waves for total potential energy.
Formula to calculate the power
Substitute
Formula to calculate the wave length is,
Here,
Substitute
Conclusion:
Therefore, the power
(b)
The power
(b)
Answer to Problem 51AP
The power
Explanation of Solution
Given Info:
The wave function for string is given as,
Formula to calculate the power for wave in the string is,
Substitute
Formula to calculate the wave length is,
Substitute
Conclusion:
Therefore, the power
(c)
The ratio of
(c)
Answer to Problem 51AP
The ratio of
Explanation of Solution
Given Info:
The wave function for string is given as,
The ratio of power given as,
Substitute
Conclusion:
Therefore, the ratio of
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Chapter 16 Solutions
Physics for Scientists and Engineers with Modern Physics
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