- #1
Kirchoffs current law. Someone check to make sure its correct?
AI Thread Summary
The discussion focuses on verifying Kirchhoff's Current Law (KCL) using a circuit analysis involving currents Ia, Ib, Ic, and Id. It is established that in a series configuration, Ic and Id are equal in magnitude but opposite in direction. The calculations show that if Ia is 3A and Ic is 1A, then Id must be -1A, leading to the conclusion that Ia equals Ib at 3A. However, an alternative analysis suggests that when applying KCL at a node with Ia and Ic entering and Ib leaving, the total current should equal 4A. The conversation confirms the correct application of KCL, highlighting the importance of consistent current direction and magnitude in circuit analysis.
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 thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are;
Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction.
Must be LESS than 1 kg.
NO parachutes.
NO glue or Tape can touch the egg.
MUST be able to take egg out in less than 1 minute.
Grade A large eggs will be used.
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