A conducting rectangular loop of mass M, resistance R, and dimensions w by l falls from rest into a magnetic field B, as shown in Figure P20.67. During the time interval before the top edge of the loop reaches the field, the loop approaches a terminal speed vT. (a) Show that vT=MgR/B^2w^2 (b) Why is vT proportional to R? (c) Why is it inversely proportional to B^2?