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 system 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 Уmax th/5 1 Figure P8.13 speed v, at the launch point in terms of g and h. (g) From parts (d), (e), and (f), determine her maximum airborne height yma 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 system 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 Уmax th/5 1 Figure P8.13 speed v, at the launch point in terms of g and h. (g) From parts (d), (e), and (f), determine her maximum airborne height yma 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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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