Gravitational Potential Energy: U = m(mass)g()y Kinetic Energy: K = , mv- and Total Energy: TE = U + KE Gravitational Potential Energy: Ug=(0.500kg) (9.8 -2 ) (0.988m)=4.84J Kinetic Energy: K= (0.500kg) (1. 849 m) =0.854J Total Energy: TE=4.841]+0.855]=5.696J DATA TABLE: Mass of the ball (kg 0.5 When Time (s) Position (m) Velocity U. (J) K (J) TE (J) (m/s After release 9.00 0.988 1.849 4.841 0.855 5.696 On the way up 9.05 1.074 1.366 5.263 0.466 5.729 Before the Top 9.10 1.126 0.845 5.517 0.179 5.696 Top of path 9.15 1.157 0.358 5.669 0.032 5.701 After the Top 9.20 1.162 -0. 130 5.694 0.004 5.698 going down 9.25 1.143 -0.065 5.601 0.001 5.602 Before catch 9.30 1.101 -1.062 5.395 0.282 5.677 ANALYSIS: 1. Use Logger Pro and graph the energies as a function of time. Please show all energies on the same graph and their corresponding mathematical equations. 2. Inspect your kinetic energy vs. time graph for the toss of the ball. Explain (use the work done as the driver of energy changes)3. Inspect your gravitational potential energy vs. time graph for the free-fall flight of the ball. Explain (use the work done as the driver of energy changes) Potential energy increases and then decreases with time making a parabola. 4. Inspect your Total energy vs. time graph for the free-fall flight of the ball. Explain. Total energy remains constant throughout the entire time. 5. Insert a graph of velocity vs. time graph. Use the graph and identify the initial (v,=-0.388 m/s), final velocity (v =2.79) and the vertical displacement (Ay =0.300 m) of the ball while in your hands. Indicate this in the graph. Integral for: Latest | Velocity Integral: 0.3006 m/s*s 1- Time: 8.90 s Velocity: 2.788 m/s Velocity (m/s) -1 -3- 8.5 9.0 9.5 10.0 (8.8817, -2.097) Time (s) 6. Use the Kinetic Energy Work theorem and calculate the net work done on the ball while in your hands. W= AK = K - K = 2m(v - v?)7. Use the definition of Work and determine the net force on the ball while in your hands. W =F Ay-F = W /Ay net net net net 8. Create a free Body diagram for the ball while in your hands and calculate the average force applied on the ball during this time. U