No matter what direction a projectile is traveling, its velocity
will be minimum at the highest point in its trajectory.
I just realized ... that's also true of an Earth satellite.
Answer:
Three linear operators A,B, and C will satisfy the condition ![[[A, B],C] + [[B,C), A] + [[C, A], B] = 0](https://tex.z-dn.net/?f=%5B%5BA%2C%20B%5D%2CC%5D%20%2B%20%5B%5BB%2CC%29%2C%20A%5D%20%2B%20%5B%5BC%2C%20A%5D%2C%20B%5D%20%3D%200)
.
Explanation:
According to the question we have to prove.
Now taking Left hand side of the equation and solve.
![[[A, B],C] + [[B,C), A] + [[C, A], B]](https://tex.z-dn.net/?f=%5B%5BA%2C%20B%5D%2CC%5D%20%2B%20%5B%5BB%2CC%29%2C%20A%5D%20%2B%20%5B%5BC%2C%20A%5D%2C%20B%5D)
Now use commutator property on it as,
![=[A,B] C-C[A,B]+[B,C]A-A[B,C]+[C,A]B-B[C,A]\\=(AB-BA)C-C(AB-BA)+(BC-CA)A-A(BC-CB)+(CA-AC)B-B(CA-AC)\\=ABC-BAC-CAB+CBA+BCA-CAB-ABC+ACB+CAB-ACB-BCA+BAC\\=0](https://tex.z-dn.net/?f=%3D%5BA%2CB%5D%20C-C%5BA%2CB%5D%2B%5BB%2CC%5DA-A%5BB%2CC%5D%2B%5BC%2CA%5DB-B%5BC%2CA%5D%5C%5C%3D%28AB-BA%29C-C%28AB-BA%29%2B%28BC-CA%29A-A%28BC-CB%29%2B%28CA-AC%29B-B%28CA-AC%29%5C%5C%3DABC-BAC-CAB%2BCBA%2BBCA-CAB-ABC%2BACB%2BCAB-ACB-BCA%2BBAC%5C%5C%3D0)
Therefore, it is proved that .
(a) The reactance of the inductor is 25.46 ohms.
(b) The expression for the current through the inductor is I(t) = (6.32 A) sin(134t)
<h3>Ractance of the inductor</h3>
The reactance of the inductor is calculated as follows;
XL = ωL
where;
- ω is angular frequency
- L is 190 mH
v(t) = (161 V) sin(134t)
v(t) = V sin(ωt)
The reactance of the inductor is calculated as follows;
XL = (134) x (190 x 10⁻³)
XL = 25.46 ohms
<h3>Peak current in the circuit</h3>
I₀ = V₀/XL
I₀ = (161) / (25.46)
I₀ = 6.32 A
<h3>Expression for the current through the inductor</h3>
I(t) = (6.32 A) sin(134t)
Learn more about inductance here: brainly.com/question/16765199
Question:
If you push a bowling ball and a golf ball with an equal force what will happen
Answer:
B)
Explanation:
Larger than the force used to push the object that has less mass. A golf ball and a bowling ball are moving at the same velocity. When gravity and air resistance are equal, the object has drawn its terminal velocity.
Answer:
E(final)/E(initial)=2
Explanation:
Applying the law of gauss to two parallel plates with charge density equal σ:
So, if the charge is doubled the Electric field is doubled too
E(final)/E(initial)=2
