A child of mass m starts from rest and slides with- out 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 gravi- tational 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 h at the launch point in terms of g and h. (d) Determine her maximum airborne height ymax in terms of h, g, and the hori- zontal speed at that height, w (e) Use the x-component of the answer to part (c) to eliminate y from the answer to part (d), giving the height ymax in terms of g, h, and the launch angle 0. (f) Would your answers be the same if the waterslide were not frictionless? Explain. Утах th/5 Figure P5.46

A child of mass m starts from rest and slides with- out 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 gravi- tational 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 h at the launch point in terms of g and h. (d) Determine her maximum airborne height ymax in terms of h, g, and the hori- zontal speed at that height, w (e) Use the x-component of the answer to part (c) to eliminate y from the answer to part (d), giving the height ymax in terms of g, h, and the launch angle 0. (f) Would your answers be the same if the waterslide were not frictionless? Explain. Утах th/5 Figure P5.46

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A child of mass m starts from rest and slides with-
out 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 gravi-
tational 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
h at the launch point in terms of g and h. (d) Determine her
maximum airborne height ymax in terms of h, g, and the hori-
zontal speed at that height, w (e) Use the x-component of
the answer to part (c) to eliminate y from the answer to part
(d), giving the height ymax in terms of g, h, and the launch
angle 0. (f) Would your answers be the same if the waterslide
were not frictionless? Explain.
Утах
th/5
Figure P5.46

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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 inthe pool. (c) Determine her initial speed V0 at the launch point in terms of g and h. (d) Determine her maximum airborne height ymaxin terms of h, g, and the horizontal speed at that height, v0x. (e) Use the x-component of the answer to part (c) to eliminate from theanswer to part (d), giving the height ymax in terms of g, h, and the launch angle θ. (f) Would your answers be the same if the waterslide were not frictionless? Explain.
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