A child of mass 15.0 kg slides on a children's slide. The coefficient of kinetic friction between the slide and the child in dry conditions is 0.50. a) Find the angle that the slide would have to make with the horizontal for the child not to accelerate as they move down the slide. b) The slide is constructed with an angle of 45 degress to the horizontal and is 2.0m long. The child starts from rest at the top of the slide. How long does it take the child to reach the bottom of the slide? c) At the bottom, the slide continues horizontally. How far does the child travel along this horizontal portion before coming to a stop? d) After some rain, the slide is wet and the coefficient of kinetic friction is reduced. Will it take longer or shorter for the child to travel from rest at the top of the slide to the bottom of the slide, compared to dry conditions? Will it take longer or shorter for the child to come to rest along the horizontal section compared to dry conditions? Help with explain the answers, please!

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 72A
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A child of mass 15.0 kg slides on a children's slide. The coefficient of kinetic
friction between the slide and the child in dry conditions is 0.50.

a) Find the angle that the slide would have to make with the horizontal for
the child not to accelerate as they move down the slide.

b) The slide is constructed with an angle of 45 degress to the horizontal and is 2.0m long. The child starts from rest at the top of the slide. How long does it take the child to reach the bottom of the slide?

c) At the bottom, the slide continues horizontally. How far does the child travel along this horizontal portion before coming to a stop?

d) After some rain, the slide is wet and the coefficient of kinetic friction is
reduced. Will it take longer or shorter for the child to travel from rest at the
top of the slide to the bottom of the slide, compared to dry conditions? Will it take longer or shorter for the child to come to rest along the horizontal section compared to dry conditions?

Help with explain the answers, please!

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