Derive an expression for the velocity of the glider as a function of time t for the interval after the front edge of the loop has entered the magnetic field but before the rear edge has entered the field.
The long, narrow rectangular loop of wire shown above has a vertical height H, length D, and resistance R. The loop is mounted on an insulated stand attached to a glider, which moves on a frictionless horizontal air track with an initial speed of v to the right. The loop and glider have a combined mass m. The loop enters a long, narrow region of uniform magnetic field B, directed out of the page toward the reader. Express your answers to the parts below in terms of B, D, H, R, m, and V.
B (out of page)
Air Track