Since the track is friction less, block’s kinetic energy at the bottom of the track is equal to its potential energy at the top of the track. PE = 81 * 9.8 * 3.8 = 3016.44 J Work = 1/2 * 1888 * d^2 PE = Kinetic energy at the base. 1/2 * 1888 * d^2 = 3016.44 d = 1.78 approx 1.8 F = Ke = 1888 * 1.8 = 3398.4N
You can test if it’s true by holding a pencil in mid air over a table and the table is supposed to be the unbalanced forced that stopped the pencil from moving at the constant velocity it was going by.