6. The sport of skateboarding provides an excellent example of the principle of
ID: 1434463 • Letter: 6
Question
6. The sport of skateboarding provides an excellent example of the principle of Conservation of Energy. In particular, let us consider 'vert skateboarding' where a person rides the skateboard on a vertical ramp that forms part of a hemisphere referred to as a 'half-pipe.' It consists of the transition from the curved part to the flat and the vertical. Below is a schematic of a half-pipe with the 'vert'. The surface of the half-pipe and the material of the wheels on the skateboard allow for an almost frictionless ride. Therefore we will neglect friction in the following analysis.
Explanation / Answer
a) Tota mechanical energy at point 1 T.E1 =m*g*h
at point 2, h=0 =>Tota mechanical energy at point 2 T.E2 =1/2*m*Vmax^2
rom conservation of energy
=>Vmax^2=2*g*h =>Vmax=sqrt(2*g*h)
b) from conservation of energy :
1/2*m*Vmax^2 =m*g*Hmax
=>Hmax =Vmax^2/(2*g) =h
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