   Chapter 5, Problem 41P

Chapter
Section
Textbook Problem

(a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-of-energy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.

(a)

To determine
Whether the equation for conservation of mechanical energy be applicable on the child.

Explanation

Given Info:

The child is sliding on a frictionless water slide from a height of h.

Since the water slide is considered to be frictional less, the one and only non-conservative force acting on the child is the normal fierce in each instant. The normal force of the child will be changing in accordance with the movement of the child. However, the normal force of the child is perpendicular to the direction of the child...

(b)

To determine
Whether the mass of the child is a factor of determining the speed of the child in the bottom of the slide.

(c)

To determine
which is faster if the child drops straight down rather than following the curved ramp.

(d)

To determine
The modification of conservation of energy if the friction is present.

(e)

To determine
The maximum speed of the child.

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