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ANALYSIS: 1. Use Logger Pro and graph the energies as a function of time. Please show all energies on the same graph. 2. Inspect your kinetic energy vs. time graph for the toss of the ball. Explain its shape. 3. Inspect your gravitational potential energy vs. time graph for the free-fall flight of the ball. Explain its shape. 4. Inspect your Total energy vs. time graph for the free-fall flight of the ball. Explain its shape. 5. What do you conclude from this graph about the total energy of the ball as it moved up and down in free fall? Does the total energy remain constant? Should the total energy remain constant? Why? If it does not, what sources of extra energy are there or where could the missing energy have gone? For PHY2048 only: 6. Take the derivative with respect to time of the equations describing the energies. Explain their meanings. 7. Calculate the kinetic energy of the basketball for one complete toss, graph it and explain every portion of the graph.
vertical position (m) 1.10 1.15 1.18 time (s) 3.30 3.35 3.40 3.45 3.50 3.55 3.60 velocity (m/s) 1.32 0.83 0.35 -0.13 -0.61 -1.07 -1.52 1.19 1.17 1.13 1.06 mass of the basketball 0.5 kg
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