The act of bowling a ball can be rather involved, but in its simplest form the...
The act of bowling a ball can be rather involved, but in its simplest form the bowler swings her arm in a roughly circular arc, releasing the ball just amoment after it passes through the bottom of the arc. By the time the ball is at the bottom of the arc, its speed is not changing anymore. A decent bowler can make the ball travel the length of the 60-ft alley in about 2.1 s. In this problem, we'll ignore the (small) friction between the ball and the lane, so the ball travels at constant speed, once released. (a) At what speed is the ball moving when the bowler releases it? (b) Sketch the situation and draw a free-body diagram of the ball when it's at the bottom of the swing and the bowler has not yet released it. (c) In what direction is the ball acclerating, at that point? (d) If our bowler has 2-ft-long arms, estimate the magnitude of the ball's acceleration. (e) From this, estimate the total force on the 14-1b ball. (f) Finally, estimate the tension in the bowler's arm.