What are the signs of "Depression"?
2 answers:
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Answer:
Explanation:
Since fluid is pumping in and out at the same rate (5L/min), the total fluid volume in the tank stays constant at 350L. Only the amount of salt and its concentration changed overtime.
Let A(t) be the amount of salt (g) at time t and C(t) (g/L) be the concentration at time t
A(0) = 10 g
Brine with concentration of 1g/L is pouring in at the rate of 5L/min so the salt income rate is 5 g/min
The well-mixed solution is pouring out at the rate of 5L/min at concentration C(t) so the salt outcome rate is 5C g/min
But the concentration is total amount of salt over 350L constant volume
C = A / 350
Therefore our rate of change for salt A' is
A' = 5 - 5A/350 = 5 - A/70
This is a first-order linear ordinary differential equation and it has the form of y' = a + by. The solution of this is
So
with A(0) = 10
c + 350 = 10
c = 10 - 350 = -340
Answer:
B = 0.15 T
Explanation:
To find the magnitude of the magnetic field you use the following formula:
( 1 )
m: mass of the electron = 9.1*10^-31 kg
v: velocity of the electron = 3*10^6 m/s
q: charge = 1.6*10^-19
r: radius = 0.11mm = 0.11*10^-3 m
You replace the values of the parameters in the equation (1).
the magnetic field has a magnitude of 0.15 T