A 45-kg teenager at a waterpark slides down a long, winding waterslide of varyin

Question

A 45-kg teenager at a waterpark slides down a long, winding waterslide of varying slope. The slide has a net height difference of 14m (roughly fourstories) from start to finish, and the teenager starts from rest

a) If the slide were frictionless, find both the teenagers kinetic energy and speed at the end (bottom) of the slide

b) Suppose that, despite all the attempts to minimize friction with rushing water, there still remains substantial friction

between the teenager and the slide, and he shoots out of the end of the slide at only 5.5 m/s instead of the speed you found above in part (a). What fraction or percentage of the teenager

Explanation / Answer

mgh=1/2m(v2)

Kinetic Energy=mgh

=45*9.81*14=6180.3 J

v2=2gh

=274.68

v=16.57m/s

B)

Total Energy at the bottom of slide=1/2mv2

   =680.625 J

Energy Dissipated=6180.3-680.625

= 5499.675 J

% Energy Dissipated =(5499.675/6180.3)*100

=88.9 %

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