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A metal bar with length L, mass m, and resistance R is placed on a frictionless metal rails that are inclined at an angle phi above the horizontal....

A metal bar with length L, mass m, and resistance R is placed on a frictionless metal rails that are inclined at an angle phi above the horizontal.  The rails have negligible resistance.  A uniform magnetic field B is directed downward on the figure (see attachment).  The bar is released from rest and slides down the rails.
I already answered all of the following except for part e.
a) Is the direction of the current induced in the bar from a to b, or from b to a?
answer: a to b
b) What is the terminal speed of the bar?
answer: terminal speed = (mg*sin(phi)*R)/(B*L*cos(phi))^2
c) What is the induced current in the bar when the terminal speed has been reached?
answer: induced current = (m*g/B*L)*tan(phi)
d) after the terminal speed has been reached, at what rate is electrical energy being converted to thermal energy?
answer: P = I^2*R = ((m*g/B*L)*tan(phi))^2 * R
e) After the terminal speed has been reached, at what rate is work being done on the bar by gravity?
This one I have no clue how to answer
I thought it would be:  W = F*v = mg*((mg*R*sin(phi))/(B*L*cos(phi))^2
but this is not the right answer.

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