13. A child of mass m starts from rest and slides without fric- GP tion from a height h along a slide next to a pool (Fig. P8.13). QIC She is launched from a height h/5 into the air over the pool. S We wish to find the maximum height she reaches above the water in her projectile motion. (a) Is the child–Earth isolated or nonisolated? Why? (b) Is there a nonconservative force acting within the system? (c) Define the configuration of the system when the child is at the water level as having zero gravitational potential energy. Express the total energy of the system when the child is at the top of the waterslide. (d) Express the total energy of the system when the child is at the launching point. (e) Express the total energy of the system when the child is at the highest point in her projec- tile motion. (f) From parts (c) and (d), determine her initial system Imax Ih/5 Figure P8.13 speed v; parts (d), (e), and (f), determine her maximum airborne height ymax at the launch point in terms of g and h. (g) From in terms of h and the launch angle 0. (h) Would your answers be the same if the waterslide were not friction- less? Explain.
13. A child of mass m starts from rest and slides without fric- GP tion from a height h along a slide next to a pool (Fig. P8.13). QIC She is launched from a height h/5 into the air over the pool. S We wish to find the maximum height she reaches above the water in her projectile motion. (a) Is the child–Earth isolated or nonisolated? Why? (b) Is there a nonconservative force acting within the system? (c) Define the configuration of the system when the child is at the water level as having zero gravitational potential energy. Express the total energy of the system when the child is at the top of the waterslide. (d) Express the total energy of the system when the child is at the launching point. (e) Express the total energy of the system when the child is at the highest point in her projec- tile motion. (f) From parts (c) and (d), determine her initial system Imax Ih/5 Figure P8.13 speed v; parts (d), (e), and (f), determine her maximum airborne height ymax at the launch point in terms of g and h. (g) From in terms of h and the launch angle 0. (h) Would your answers be the same if the waterslide were not friction- less? Explain.
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter6: Momentum And Collisions
Section: Chapter Questions
Problem 10WUE
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