   Chapter 5, Problem 3CQ

Chapter
Section
Textbook Problem

(a) If the height of a playground slide is kept constant, will the length of the slide or whether it has bumps make any difference in the final speed of children playing on it? Assume that the slide is slick enough to be considered frictionless. (b) Repeat part (a), assuming that the slide is not frictionless.

(a)

To determine
Whether the speed of the children will change when the length of the slide or adding bumps on the slide changes while the height of the slide remains constant  and the slide is frictionless.

Explanation

According to conservation of energy, if there are no non-conservative forces acting on the system, the total energy will be conserved.

Since, the surface of the slide is frictionless and there is no other non-conservative forces are acting on the children while sliding, the total potential energy of the child on the top of the slide will be converted to the kinetic energy of the child when the child reaches the bottom of the slide...

(b)

To determine
Whether the speed of the children will change when the length of the slide or adding bumps on the slide changes while the height of the slide remains constant and the slide is  not frictionless.

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