A child of mass m starts from rest and slides without friction from a height h along a curved waterslide (see figure). She is launched from a height h/5 into the pool.Утахth/5 4(a) Is mechanical energy conserved?YesNoWhy?This answer has not been graded yet.(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 thepoint where she lands in the pool. (Use the following as necessary: height h, mass m, and gravitational acceleration g.)potential eneraykinetic eneray top of the waterslidelaunching pointin the pool(c) Determine her initial speed v, at the launch point in terms of g and h.,Vox'in terms of h, g, and the horizontal speed at that height, v(d) Determine her maximum airborne height ymaxY maxin terms of g, h, and the launch angle 0.(e) Use the x-component of the answer to part (c) to eliminate v, from the answer to part (d), giving the height ymayY max(f) Would your answers be the same if the waterslide were not frictionless?O YesNoExplain.

Motion of projectile can be divided into x component and y component

Answered: d of mass m starts from rest and slides…

d of mass m starts from rest and slides without friction from a height h along a curved waterslide (see figure). She is launched from a height h/5 into the pool.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 61P: In the control tower at a regional airport, an air traffic controller monitors two aircraft as their...

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Question

A child of mass m starts from rest and slides without friction from a height h along a curved waterslide (see figure). She is launched from a height h/5 into the pool.
Утах
th/5 4
(a) Is mechanical energy conserved?
Yes
No
Why?
This answer has not been graded yet.
(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. (Use the following as necessary: height h, mass m, and gravitational acceleration g.)
potential eneray
kinetic eneray

top of the waterslide
launching point
in the pool
(c) Determine her initial speed v, at the launch point in terms of g and h.
,Vox'
in terms of h, g, and the horizontal speed at that height, v
(d) Determine her maximum airborne height ymax
Y max
in terms of g, h, and the launch angle 0.
(e) Use the x-component of the answer to part (c) to eliminate v, from the answer to part (d), giving the height ymay
Y max
(f) Would your answers be the same if the waterslide were not frictionless?
O Yes
No
Explain.

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