A rectangular conducting loop of width $26$ cm$,$ height $14$ cm$,$ and resistance $1\mathrm{.}4$ is mounted vertically on a nonconducting cart as shown above. The cart has a mass of $200$ g and the loop has negligible mass. The cart is placed on the inclined portion of a track and released from rest at position $1$ at a height $0\mathrm{.}4$ m above the horizontal portion of the track. It rolls with negligible friction down the incline and through a uniform magnetic field B $=1\mathrm{.}7$ T in the region above the horizontal portion of the track. The conducting loop is in the plane of the page, and the magnetic field is directed into the page. Assume the loop passes completely through the field with negligible change in speed. Determine the the current induced in the conducting loop when the cart is at position $2.$ Use positive to indicate a counterclockwise current and negative to indicate a clockwise current. $2)$Consider instead if the change is speed is not considered to be negligible. Determine the acceleration of the cart when the loop first enters the magnetic field. Use positive to indicate an acceleration to the right and negative to indicate an acceleration to the left. m$/$s$2$