In a lab experiment you let a uniform ball roll down a curved track. The ball starts from rest and rolls without slipping. While on the track, the ball descends a vertical distance h. The lower end of the track is horizontal and extends over the edge of the lab table; the ball leaves the track traveling horizontally. While free falling after leaving the track, the ball moves a horizontal distance x and a vertical distance y.
a). Calculate x in terms of h and y, ignoring the work done by friction.
b). What would x be for the same h and y as in part A if you let a silver dollar roll down the track? You can ignore the work done by friction.