A skateboarder with his board can be modeled as a particle of mass 79.0 kg, located at his center of mass (which we will study in a later chapter). As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). The half-pipe is one half of a cylinder of radius 6.70 m with its axis horizontal. On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 6.20 m. (a) Find his speed at the bottom of the half-pipe (point). m/s (b) Immediately after passing point, he stands up and raises his arms, lifting his center of mass from 0.500 m to 0.920 m above the concrete (point O). Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.78 m. His body is horizontal when he passes point, the far lip of the half-pipe. As he passes through point, the speed of the skateboarder is 4.97 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy in the skateboarder-Earth system when he stood up at point 7 (c) How high above point does he rise? Caution: Do not try this stunt yourself without the required skill and protective equipment. m

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A skateboarder with his board can be modeled as a particle of mass 79.0 kg, located at his center of mass (which we will study in a later chapter). As shown in the figure
below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). The half-pipe is one half of a cylinder of radius 6.70 m with its axis
horizontal. On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 6.20 m.
(a) Find his speed at the bottom of the half-pipe (point
m/s
(b) Immediately after passing point he stands up and raises his arms, lifting his center of mass from 0.500 m to 0.920 m above the concrete (point ). Next,
the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.78 m. His body is horizontal when he passes point, the far lip of the
half-pipe. As he passes through point, the speed of the skateboarder is 4.97 m/s. How much chemical potential energy in the body of the skateboarder was
converted to mechanical energy in the skateboarder-Earth system when he stood up at point
(c) How high above point does he rise? Caution: Do not try this stunt yourself without the required skill and protective equipment.
m
Transcribed Image Text:A skateboarder with his board can be modeled as a particle of mass 79.0 kg, located at his center of mass (which we will study in a later chapter). As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). The half-pipe is one half of a cylinder of radius 6.70 m with its axis horizontal. On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 6.20 m. (a) Find his speed at the bottom of the half-pipe (point m/s (b) Immediately after passing point he stands up and raises his arms, lifting his center of mass from 0.500 m to 0.920 m above the concrete (point ). Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.78 m. His body is horizontal when he passes point, the far lip of the half-pipe. As he passes through point, the speed of the skateboarder is 4.97 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy in the skateboarder-Earth system when he stood up at point (c) How high above point does he rise? Caution: Do not try this stunt yourself without the required skill and protective equipment. m
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