# A child of mass m starts from rest and slides without friction from a height h along a curved waterslide (Fig. P5.46). She is launched from a height h /5 into the pool. (a) Is mechanical energy conserved? Why? (b) Give the gravitational potential energy associated with the child and her kinetic energy in terms of mgh at the following positions: the top of the waterslide, the launching point, and the point where she lands in the pool. (c) Determine her initial speed V 0 at the launch point in terms of g and h . (d) Determine her maximum airborne height y max in terms of h , g , and the horizontal speed at that height, v 0 x . (e) Use the x -component of the answer to part (c) to eliminate from the answer to part (d), giving the height y max in terms of g , h , and the launch angle θ . (f) Would your answers be the same if the waterslide were not frictionless? Explain. Figure P5.46

### College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

### College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

#### Solutions

Chapter
Section
Chapter 5, Problem 46P
Textbook Problem

## Expert Solution

### Want to see the full answer?

Check out a sample textbook solution.See solution

### Want to see this answer and more?

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

See solution