Question: A bowling ball of mass M = 6kg is rolling down a hallway at 1.5m/s. (see Fig.) If it rolled straight, it would hit an associate dean of students D standing at the end of the hall. You are standing at point U, 10m from the end of the hall, and you intervene heroically by giving the ball a sideways kick as it passes you so that the ball rolls into the corner C instead of hitting D.

Fig. - Ball rolling down a hallway towards D is deflected at point U so as to hit C instead

a. What must be the angle of deflection θ at point U if the ball is to hit C instead of D?

b. How much sideways momentum Δp_y must you give the ball to produce the desired deflection?

c. Explain the parallels between this problem and one of the experiments described in this chapter.