Answer:
6000
1.2 J
Explanation:
I = Current = 1 A
t = Time = 2 ms
n = Number of electrocyte
V = Voltage = 100 mV
Charge is given by
The charge flowing through the electrocytes in that amount of time is
The maximum potential is given by
The number of electrolytes is 6000
Energy is given by
The energy released when the electric eel delivers a shock is 1.2 J
Equivalent capacitance is given by
The equivalent capacitance of all the electrocyte cells in the electric eel is
Answer:
Q should be 4.8 miles east of B.
Explanation:
As the diagram shows, we can simply express the construction cost as a function of angle θ (represented in the diagram).
The length of the pipe in water (represented with blue) = 6/cos θ
The length of the pipe on land (represented with brown) = (8-6*tan θ)
Construction Cost = (6/cos θ) (6000) + (8-6*tan θ)(3750)
The above function represents the construction cost and is in terms of θ
The value of θ varies from 0 degrees to 53.13 degrees as per the diagram.
We can take the derivative of Construction Cost function with respect to θ and equate it to zero to find the angle θ at which the construction cost is minimum.
d(Construction Cost)/d θ = -4500(5*sec θ – 8*tan θ)(sec θ)
-4500(5*sec θ – 8*tan θ) (sec θ) = 0
θ = 38.68 degrees
Using the value of θ, we can find the distance of Q from B.
Distance of Q from B = 6*tan θ
Distance of Q from B = 6*tan (38.68 degrees)
Distance of Q from B = 4.8 miles
