Answer:
Momentum = 2qEx/v
Explanation:
From the work - energy theorem, we know that;
Kinetic energy = work done
Now, formula for both are;
Kinetic energy = ½mv²
Work done = qEx
Where;
m is mass
v is velocity
q is charge
E is Electric field
x is distance covered.
Thus;
½mv² = qEx - - - - (eq 1)
Now, momentum formula is;
p = mv
Let's rewrite the left hand side of equation 1 to reflect p = mv. Thus;
½v(mv) = qEx
½vp = qEx
p = 2qEx/v
Answer: I do not mind if I have more rewards or not.
Explanation: I think helping others is the best reward
Answer:
The frequencies are 13.8 Hz, 75 Hz, 12 Hz and 63.8 Hz.
Explanation:
Given that,
The frequency in r.p.m
![f_{1}=830\ rpm](https://tex.z-dn.net/?f=f_%7B1%7D%3D830%5C%20rpm)
![f_{2}=4500\ r.p.m](https://tex.z-dn.net/?f=f_%7B2%7D%3D4500%5C%20r.p.m)
![f_{3}=720\ r.p.m](https://tex.z-dn.net/?f=f_%7B3%7D%3D720%5C%20r.p.m)
![f_{4}=3832\ r.p.m](https://tex.z-dn.net/?f=f_%7B4%7D%3D3832%5C%20r.p.m)
Suppose, we find the frequency in hz.
We know that,
One r.p.m is equal to the one divided by 60 Hz.
![1\ r.p.m=\dfrac{1}{60}\ Hz](https://tex.z-dn.net/?f=1%5C%20r.p.m%3D%5Cdfrac%7B1%7D%7B60%7D%5C%20Hz)
We need to calculate the frequency in Hz
Using formula for frequency in Hz
For f₁,
![f_{1}=830\ r.p.m](https://tex.z-dn.net/?f=f_%7B1%7D%3D830%5C%20r.p.m)
![f_{1}=\dfrac{830}{60}\ Hz](https://tex.z-dn.net/?f=f_%7B1%7D%3D%5Cdfrac%7B830%7D%7B60%7D%5C%20Hz)
![f_{1}=13.8\ Hz](https://tex.z-dn.net/?f=f_%7B1%7D%3D13.8%5C%20Hz)
For f₂,
![f_{2}=4500\ r.p.m](https://tex.z-dn.net/?f=f_%7B2%7D%3D4500%5C%20r.p.m)
![f_{2}=\dfrac{4500}{60}\ hz](https://tex.z-dn.net/?f=f_%7B2%7D%3D%5Cdfrac%7B4500%7D%7B60%7D%5C%20hz)
![f_{2}=75\ Hz](https://tex.z-dn.net/?f=f_%7B2%7D%3D75%5C%20Hz)
For f₃,
![f_{3}=720\ r.p.m](https://tex.z-dn.net/?f=f_%7B3%7D%3D720%5C%20r.p.m)
![f_{3}=\dfrac{720}{60}\ hz](https://tex.z-dn.net/?f=f_%7B3%7D%3D%5Cdfrac%7B720%7D%7B60%7D%5C%20hz)
![f_{3}=12\ Hz](https://tex.z-dn.net/?f=f_%7B3%7D%3D12%5C%20Hz)
For f₄,
![f_{4}=3832\ r.p.m](https://tex.z-dn.net/?f=f_%7B4%7D%3D3832%5C%20r.p.m)
![f_{4}=\dfrac{3832}{60}\ hz](https://tex.z-dn.net/?f=f_%7B4%7D%3D%5Cdfrac%7B3832%7D%7B60%7D%5C%20hz)
![f_{4}=63.8\ Hz](https://tex.z-dn.net/?f=f_%7B4%7D%3D63.8%5C%20Hz)
Hence, The frequencies are 13.8 Hz, 75 Hz, 12 Hz and 63.8 Hz.
The correct answer among the choices given is option B. Equilibrium is achieved when the demand equals the supply. Equilibrium is a state when there are no changes observe in a phenomenon and for this case it is achieved when both values are the same.