Force Times Distance II A block of mass m = 1.95 kg slides with an initial speed vi = 4.33...

Force Times Distance II A block of mass m = 1.95 kg slides with an initial speed vi = 4.33 m/s on a smooth, horizontal surface. The block now encounters a rough patch with a coefficient of kinetic friction given by µk = 0.260. The rough patch extends for a distance d = 0.125 m, after which the surface is again frictionless. (a) What is the acceleration of the block when it is in the rough patch? (b) What is the final speed, vf, of the block when it exits the rough patch? (c) Show that . (The significance of this result will be discussed in Chapter 7, where we will see that is the kinetic energy of an object.)