The professor holds the 5.0 kg bowling ball at rest in front of her face, a height of 1.70 m above the ground. She releases the ball (being careful not to impart any initial velocity or move her head). a) If the system were frictionless, find the speed of the ball at its lowest point, 0.50 m above the ground. b) If the system were frictionless, find the height of the ball at its next close approach to the professor's face. c) If the ball only reaches a height of 1.69 m at its next close approach to the professor's face, find the work done by friction during one period of the pendulum's motion.