A child starts from rest and slides without friction from a height of \( h = 7.4 \, \text{m} \) along a slide next to a pool (see figure). She is launched from a height of \( 1.6 \, \text{m} \) (ignore the \( h/5 \) in the figure) at an angle of \( 28^\circ \) into the air over the pool. Use \( g = 9.8 \, \text{m/s}^2 \).**Diagram Description:** The diagram illustrates a child on a curved slide. The slide begins at a height \( h \) marked as \( 7.4 \, \text{m} \) and leads down to a pool. At the end of the slide, the child is launched from a height of \( 1.6 \, \text{m} \) at an angle of \( 28^\circ \) above the horizontal, reaching a maximum height denoted as \( y_\text{max} \).**Problem:**What is her maximum height above the water after leaving the slide? Hint: It is possible to do this without employing projectile motion, even desirable as we are trying to learn conservation of energy; this problem requires the use of conservation of energy more than once.\( y_\text{max} = \) [Textbox for answer] m

According to the conservation of energy, the velocity of girl when she leaves slide is mgh=mgh'+12mv2v=2gh-h'The x component of her velocity is constant, and then apply conservation of energy in the vertical direction, mgy=mgh'+12mvy2y=h'+vy22g=h'+vsinθ22g=h'+v2sin2θ2g=h'+2gh-h'sin2θ2g=h'+h-h'sin2θ=1.6 m+7.4 m-1.6 msin228°=2.88 m

Science

Physics

A child starts from rest and slides without friction from a height of h = 7.4 m along a slide next to a pool (see figure). She is launched from a height of 1.6 m (ignore the h/5 in the figure) at an angle of 28° into the air over the pool. Use g=9.8 m/s?. Утах What is her maximum height above the water after leaving the slide? Hint: it is possible to do this without doing projectile motion, even desirable as we are trying to learn conservation of energy; this problem does require you to use conservation of energy more than once.

A child starts from rest and slides without friction from a height of h = 7.4 m along a slide next to a pool (see figure). She is launched from a height of 1.6 m (ignore the h/5 in the figure) at an angle of 28° into the air over the pool. Use g=9.8 m/s?. Утах What is her maximum height above the water after leaving the slide? Hint: it is possible to do this without doing projectile motion, even desirable as we are trying to learn conservation of energy; this problem does require you to use conservation of energy more than once.

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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