Answer:
Counterclockwise
explanation in attachment
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Complete question:
A 45-mH ideal inductor is connected in series with a 60-Ω resistor through an ideal 15-V DC power supply and an open switch. If the switch is closed at time t = 0 s, what is the current 7.0 ms later?
Answer:
The current in the circuit 7 ms later is 0.2499 A
Explanation:
Given;
Ideal inductor, L = 45-mH
Resistor, R = 60-Ω
Ideal voltage supply, V = 15-V
Initial current at t = 0 seconds:
I₀ = V/R
I₀ = 15/60 = 0.25 A
Time constant, is given as:
T = L/R
T = (45 x 10⁻³) / (60)
T = 7.5 x 10⁻⁴ s
Change in current with respect to time, is given as;
![I(t) = I_o(1-e^{-\frac{t}{T}})](https://tex.z-dn.net/?f=I%28t%29%20%3D%20I_o%281-e%5E%7B-%5Cfrac%7Bt%7D%7BT%7D%7D%29)
Current in the circuit after 7 ms later:
t = 7 ms = 7 x 10⁻³ s
![I(t) = I_o(1-e^{-\frac{t}{T}})\\\\I =0.25(1-e^{-\frac{7*10^{-3}}{7.5*10^{-4}}})\\\\I = 0.25(0.9999)\\\\I = 0.2499 \ A](https://tex.z-dn.net/?f=I%28t%29%20%3D%20I_o%281-e%5E%7B-%5Cfrac%7Bt%7D%7BT%7D%7D%29%5C%5C%5C%5CI%20%3D0.25%281-e%5E%7B-%5Cfrac%7B7%2A10%5E%7B-3%7D%7D%7B7.5%2A10%5E%7B-4%7D%7D%7D%29%5C%5C%5C%5CI%20%3D%200.25%280.9999%29%5C%5C%5C%5CI%20%3D%200.2499%20%5C%20A)
Therefore, the current in the circuit 7 ms later is 0.2499 A
Answer:-2.61 m/s
Explanation:
This problem can be solved by the Conservation of Momentum principle, which establishes that the initial momentum
must be equal to the final momentum
:
(1)
Where:
(2)
(3)
is the mass of the first car
is the velocity of the first car, to the North
is the mass of the second car
is the mass of the second car, to the South
is the final velocity of both cars after the collision
(4)
Isolating
:
(5)
(6)
Finally:
(7) This is the resulting velocity of the wreckage, to the south