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Electron Oscillator Homework: The Attempt at a Solution
- Thread starter athrun200
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The discussion revolves around solving a homework problem related to electron oscillators. The initial attempt indicates that the system does not exhibit simple harmonic motion (SHM) due to the net force being inversely proportional to the square of the distance. The participant questions the correctness of their assertion regarding the frequency increase when speed is multiplied by the square root of two. They express difficulty in determining the time for one complete cycle due to varying velocity and seek guidance on the remaining parts of the problem. Overall, the thread highlights challenges in understanding the dynamics of electron motion and the complexities involved in calculating time and frequency.
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athrun200
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Homework Statement
Homework Equations
The Attempt at a Solution
For part b. Can it do this?
Because the speed increased by sqrt2, so f also increased by this factor.
But I don't know if this assertion is correct.
To know the time, I need the velocity. But it seems velocity is varying, so how can I find the time?
For part d, the max speed of electron should be light speed. again, there will be various speed (especially the reverse of direction) how can I know the time?
Also, can you guide me to the last 2 part?
I found it is too difficult for me.
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Neglect gravity other than that of water; neglect friction.
F1=ρgsh=1000*10*1*(1+4)=50000 N;
F1=ρgsh=1000*10*0.1*4=4000 N;
F3=50000-4000=46000 N?
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system
$$M(t) = M_{C} + m(t)$$
$$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$
$$P_i = Mv + u \, dm$$
$$P_f = (M + dm)(v + dv)$$
$$\Delta P = M \, dv + (v - u) \, dm$$
$$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$
$$F = u \frac{dm}{dt} = \rho A u^2$$
from conservation of momentum , the cannon recoils with the same force which it applies.
$$\quad \frac{dm}{dt}...
I was told forces are vectors so they can be divided into x and y components, but what about the normal force or the force of static friction? do you divide those into x and y components if say you had a block that was lying on an angled surface?
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