Airplanes and trains move through the earth's magnetic field at rather high speeds, so it is reasonable to wonder whether this f
2 answers:
Answer:
a) ΔV = 60.4 V , c) ΔV = 8130.5 V
Explanation:
A) For this problem we must find the induced electromotive force (fem), in this case the electric force and the magnetic force have opposite directions
=
qE = q vB
E = ΔV / L = v B
ΔV = v L B
Let's reduce the magnitudes to the SI system
v = 180 mph (1609 m / 1 mile) (1h / 3600s) = 80.5 m / s
ΔV = 80.5 1.5 0.5
ΔV = 60.4 V
B) This voltage is indexed throughout the train anchi, so even though it is a voltage that can produce notable effects, the correct answer is Yes
C) Let's reduce speed
v = 565 mph = 252.5 m / s
Let's calculate
ΔV = 60.4 V V = 252.5 64.4 0.5
ΔV = 8130.5 V
D) Yes, I could believe the problem in the electronics of the plane, but remember that the plane is in a Faraday cage and this load is on its surface, so the inside does not feel its effects,
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A system of equations is a group of equations with the same variables that we need to solve simultaneously. Such that the solutions is given by the intersection betweens graphs of the functions.
We will see that the solution is (16.4, 807.0)
Here the system is:
To solve a system we usually need to isolate one of the variables in one equation and replace that in the other equation, here we already see that we have x isolated in the two equations, so we can write:
Now we can solve the above equation for t:
This is just a quadratic equation, the solution is given by the Bhaskara's formula, we will get:
Then the two values of t are:
t = (45.0 + 53.4)/6 = 16.4
t = (45.0 - 53.4)/6 = -1.4
We want the positive solution, so we choose t = 16.4
To complete the solution we need to evaluate one of our functions in this time. Let's use the first one:
x = 45.0*16.4 + 69.0 = 807.0
Then the solution is:
(16.4, 807.0)
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