Kosta1234
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- 1
Homework Statement
Hi,
I'm stuck on some question..
There are given to waves in the following equation:
The question asks to find the energy density of them, and after it to find the kinetic and the potential energy in t = 2.5 seconds.
V = | 2 | [m/s]
T = 4 [N]
p (density) = 1 [KG/M]
Homework Equations
The Attempt at a Solution
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to find the energy density I used this equation:
the solution to this equation (that equals to energy density) is:
![Equation for energy density rho_E(x,t) = 64 [(x - 5 + 2t)^2 e^(-2(x-5+2t)^2) + (x + 5 - 2t)^2 e^(-2(x+5+2t)^2)] as plain typeset mathematics.](https://www.physicsforums.com/attachments/upload_2018-4-29_21-20-49-png.224893/ "upload_2018-4-29_21-20-49.png")
then, I've set in place t = 2.5, and the energy density is equal to:
which is great. but my problem is to find the kinetic and the potential energy in t = 2.5 seconds.
I've not understood this question well.
I can find the TOTAL energy by using integral of the energy density to 'dx'.
How can I find the specific kinetic or potential energy?
Thanks.
the solution to this equation (that equals to energy density) is:
then, I've set in place t = 2.5, and the energy density is equal to:
I've not understood this question well.
I can find the TOTAL energy by using integral of the energy density to 'dx'.
How can I find the specific kinetic or potential energy?
Thanks.
Attachments
![Equation for an energy density: ρ(x,t) = 64 [(x − 5 + 2t)² + (x + 5 − 2t)²] with exponential factors e^(−2(x−5+2t)²) and e^(−2(x+5−2t)²).](/data/attachments/207/207979-7a786489ceedf1710c649d0ae8b98d55.jpg?hash=enhkic7t8X){kind=small}
![Equation for energy density rho_E(x,t) = 64 [(x - 5 + 2t)^2 e^(-2(x-5+2t)^2) + (x + 5 - 2t)^2 e^(-2(x+5+2t)^2)] as plain typeset mathematics.](/data/attachments/207/207980-94cc8e1f38ebb91983b931d89ad50a87.jpg?hash=lMyOHzjruR){kind=small}
