Question in pic. A skateboarder with his board can be modeled as a particle of mass 75.0 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 restin a crouching position at one lip of a half-pipe (point O). 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 centerof mass moves through one quarter of a circle of radius 6.20 m.(D(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 hiscenter of mass moving in a quarter circle of radius 5.78 m. His body is horizontal when he passes point O, the far lip of the half-pipe. As he passes through point O, the speed of the skateboarder is4.97 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 pointdoes he rise? Caution: Do not try this stunt yourself without the required skill and protective equipment.

Given,Mass of the particle, m = 75.0 kgradius, r = 6.70 mthe center of mass of moves through one…

A skateboarder with his board can be modeled as a particle of mass 75.0 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 O). 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 skateboarder with his board can be modeled as a particle of mass 75.0 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 O). 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.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 49P

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