A skateboarder with his board can be modeled as a particle of mass 70.0 kg, located at his center of mass. As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 5.70 m. (a) Find his speed at the bottom of the half-pipe (point B) m/s (b) Immediately after passing point ®, he stands up and raises his arms, lifting his center of mass and essentially "pumping" energy into the system. Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.34 m, reaching point D. As he passes through point , the speed of the skateboarder is 4.60 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy when he stood up at point Ⓡ? (c) How high above point does he rise? m

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Chapter1: Units, Trigonometry. And Vectors
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A skateboarder with his board can be modeled as a particle of mass 70.0 kg, located at his center of mass. As shown in the
figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point 4). On his descent,
the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 5.70 m.
(a) Find his speed at the bottom of the half-pipe (point B)
m/s
(b) Immediately after passing point®, he stands up and raises his arms, lifting his center of mass and essentially
"pumping" energy into the system. Next, the skateboarder glides upward with his center of mass moving in a
quarter circle of radius 5.34 m, reaching point D. As he passes through point, the speed of the skateboarder is
4.60 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy
when he stood up at point Ⓡ?
(c) How high above point does he rise?
m
Transcribed Image Text:A skateboarder with his board can be modeled as a particle of mass 70.0 kg, located at his center of mass. As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point 4). On his descent, the skateboarder moves without friction so that his center of mass moves through one quarter of a circle of radius 5.70 m. (a) Find his speed at the bottom of the half-pipe (point B) m/s (b) Immediately after passing point®, he stands up and raises his arms, lifting his center of mass and essentially "pumping" energy into the system. Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.34 m, reaching point D. As he passes through point, the speed of the skateboarder is 4.60 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy when he stood up at point Ⓡ? (c) How high above point does he rise? m
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