Respuesta :
Answer:
[tex]E_t_o_t_a_l=7.603MJ[/tex]
Explanation:
The salmon's total energy use , which is equivalent to work done,[tex]W[/tex], by swimming upstream, is related to the specific mechanical power. [tex]Mechanical \ power[/tex] per unit mass is defined by the equation:
[tex]\frac{p}{m}=\frac{1}{m}|\frac{dW}{dt}|=2W/kg\\\frac{1}{2}|\frac{W}{22\times 24 \times 60\times 60}|=2\\\\W=7.603MJ[/tex]
Hence, the energy total for the 22-day trip is 7.603MJ
The total energy used by salmon on the trip is 7.6 MJ.
Work done and energy:
According to the work-energy theorem, the work done by a conservative force is equal to the change in kinetic energy of the system or the negative of the change in potential energy of the system.
It is given that the power consumed per kg of body mass is 2W. Let the power be P and the mass be m then,
[tex]\frac{P}{m}=2[/tex]
Now power is defined as the rate of work:
[tex]P=\frac{\Delta W}{\Delta t}\\\\\frac{P}{m}=\frac{\Delta W}{m\Delta t}\\\\2= \frac{\Delta W}{2\times22\times24\times60\times60} \\\\ \Delta W=7.6\;MJ[/tex]
The change in work done is equal to the change in total energy. Therefore, the total energy used by 2kg salmon on the 22-day trip is 7.6 MJ.
Learn more about work done:
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