h = A 53.3 kg child slides down a water slide with a v A 53.3 kg child slides do
ID: 2178097 • Letter: H
Question
h=
A 53.3 kg child slides down a water slide with a v A 53.3 kg child slides down a water slide with a velocity of 1.2 m/sec at the top. At the bottom of the slide, she is moving horizontally, y=2.0 meters above the water. She splashes into the water d=2.5 meters to the left of the bottom of the slide.Explanation / Answer
Horizontal distance = v*t = 2.5m and Vertical distance = 2 = 0.5*9.81*t^2 =>t = sqrt(2/(0.5*9.81)) = 0.638551 s vt = 2.5 =>v = 3.915115 m/s 1)Mechanical energy at the top of the slide = Mechanical energy at the bottom of the slide = mgh + 0.5mv^2 = (9.81*2*53.5)+(0.5*53.5*(3.915114941^2)) = 1459.697 J 2)Mechanical energy at the top of the slide = Mechanical energy at the bottom of the slide =>1459.697344 = 53.5*9.81*h + 0.5*53.5*(1.2^2) =>h = 2.718 m
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