(a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-ofenergy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.

Ch. 38 Sc. 6 Sunday, February 28, 2016 10:55 PM Chapter 38 - Quantization Section 6 - The Bohr Hydrogen Atom - Bohr's model of the hydrogen atom treats the electrons orbiting the nucleus as both waves and particles ○ They rotate circularly about the center, like a particle ○ However,the electron also acts as a circular standing wave such that - Now, the electrons orbit is subject to both a constraint on the velocity and on the radius ○ ○ From , we obtain - When , we call the radius the Bohr radius ○ ○ Now, - Also, using classical analysis, the energy of the orbit is found to be - Binding energy - the of the electron in stationarystate ○ Because