A 0.10-kilogram solid rubber ball is attached to the end of an 0.80-meter length of light thread. The ball is swung
in a vertical circle, as shown in the diagram above. Point P, the lowest point of the circle, is 0.20 meter above the
floor. The speed of the ball at the top of the circle is 6.0 meters per second, and the total energy of the ball is kept
constant.
(a) Determine the total energy of the ball, using the floor as the zero point for gravitational potential
energy.
(b) Determine the speed of the ball at point P, the lowest point of the circle.
(c) Determine the tension in the thread at
i. the top of the circle;
ii. the bottom of the circle.
The ball only reaches the top of the circle once before the thread breaks when the ball is at the lowest point of the
circle.
(d) Determine the horizontal distance that the ball travels before hitting the floor.