You have a summer job working at a company developing systems tosafely lower large loads down ramps. Your team is investigating amagnetic system by modeling it in the laboratory.

The safety system is a conducting bar that slides on twoparallel conducting rails that run down the ramp. The bar isperpendicular to the rails and is in contact with them. At thebottom of the ramp, the two rails are connected together.

The bar slides down the rails through a vertical uniformmagnetic field. The magnetic field is supposed to cause the bar toslide down the ramp at a constant velocity even when frictionbetween the bar and the rails is negligible.

Your task is to calculate the constant velocity of the barsliding down the ramp on rails in a vertical magnetic field as afunction of the mass of the bar, the strength of the magneticfield, the angle of the ramp from the horizontal, the length of thebar which is the same as the distance between the tracks, and theresistance of the bar. Assume that all of the other conductors inthe system have a much smaller resistance than the bar.

1a) If the force due to the changing flux exactly cancells outthe net force due to the combination of gravity and normal force,then the bare will cease to accelerate and instead move at aconstant velocity. Please solve for this velocityalgebraically.

1b)Write out the units for each of your variables and show (bycancellation and substitution) that the units for your veloctiywill be m/s on both left and right side of your equation.