A skateboarder with his board can be modeled as a particle of mass 72.0 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 6.30 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 5.80 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 0.990 m above the concrete (point C). Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.31 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 5.37 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
A skateboarder with his board can be modeled as a particle of mass 72.0 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 6.30 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 5.80 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 0.990 m above the concrete (point C). Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.31 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 5.37 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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:A skateboarder with his board can be modeled as a particle of mass 72.0 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 6.30 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 radlus 5.80 m.
A
Ⓡ
(a) Find his speed at the bottom of the half-pipe (point ®).
m/s
(b) Immediately after passing point B, he stands up and raises his arms, lifting his center of mass from 0.500 m to 0.990 m above the concrete (point C). Next, the skateboarder glides upward with his
center of mass moving in a quarter circle of radius 5.31 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
5.37 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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