Need Help with Mid-Term Study Guide Question

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The discussion revolves around a physics problem involving a circuit being pulled with a force of 16 N while maintaining a constant speed. The circuit has a current of 6.0 A flowing through a 4.0-ohm resistor, and the task is to determine the direction of current flow and the speed v. Using the formula F = IBL, the relationship between force, current, and magnetic field is established, leading to the calculation of speed as v = 9.0 m/s. The right-hand rule is suggested to ascertain the direction of current flow and the induced force. The discussion emphasizes understanding the interactions between force, current, and magnetic fields in electromechanical systems.
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A circuit is pulled with a 16-N force toward the right to maintain a constant speed v. At the instant shown, the loop is partially in and partially out of a uniform magnetic field that is directed into the paper. As the circuit moves, a 6.0-A current flows through a 4.0- ohm resistor. What is the direction of the current flow? What is the magnitude of v? Diagram attached.
 

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Here's what i have so far, please help?

F = 16 N, I = 6.0 A, R = 4.0 Ω, find v
F = IBL, so BL = F/I
BLv = IR
Fv/I = IR
∴v = I2R/F = 9.0 m/s
 
use the right hand rule to determine current flow direction. Which way is the induced force going to be pointing, and in which direction does the current flow for this to be true?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

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}...
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