Force needed to move a conducting bar on a wire U-loop in a magnetic field

[cookiemnstr510510]

Homework Statement

Hello all, not really sure what to title this. Heres the question:
Ceicil sets a trap. According to ceicil, all she has to do is somehow attach a conductive bar with resistance 1Ω to the turkey and then get it to walk along a wire loop in a region of 100T magnetic field (as shown in turkeyforce.jpg). Ceicil estimates that the turkey will be walking at 1.00m/s. How much force would the turkey need to exert on the bar to be able to continue at this speed?

Homework Equations

Lets call the dimensions of the box (that the turkey's bar) l for "y-component" and x for x component. The "y" component is actually given to us in the problem (2m).
ε=$\frac{-dΦb}{dt}$= $\frac{-BdA}{dt}$=$\frac{-Bdlx}{dt}$=$\frac{-Bldx}{dt}$=-Blv
F=ILxB
ΔV=IR

The Attempt at a Solution

If you push to the right (or in our case the turkey runs to the right at a given velocity) the turkey will experience a force in the opposite direction
I=$\frac{Blv}{R}$

F=$\frac{Blvlb}{R}$=$\frac{B^2l^2v}{R}$

As we can see the amount of "x" the turkey goes does not affect our problem. (is this because there is a uniform magnetic field?)

F=$\frac{100T^22m^21m/s^2}{1Ω}$=4*10^4N?

Not completely solid with these topics... how does this look?

 

[gneill]

Looks good.

 

[cookiemnstr510510]

awesome! thanks a bunch @gneill :)

 

[kuruman]

Looks good.

However the problem is totally silly. A force of 40 kN is roughly the weight of of a 4-ton mass and the turkey's metabolism would have to produce 40 kW or 53 hp, not to mention that a 100 T steady magnetic field requires extraordinary equipment to generate and only over a small volume. It's also not clear how this gadget would work as a trap. I am totally against physics problems that expect one to suspend disbelief so far beyond reason.