A 55 kg skateboarder (with the board) wants to just make it to the upper edge of a "half-pipe" with a radius of 3.0 m, as shown in the figure. The thickness of the pipe can be assumed to be negligible. 3.0 m What speed v, does he need at the bottom if he is to coast all the way up (1) if we treat the skateboarder with the board as a point particle, with the entire mass nearly in contact with the half-pipe? (ii) if the mass of the skateboarder with the board was in a deep crouch and can be thought of as concentrated 0.75 m from the half-pipe, and assume he remains in that position all the way up to reach the upper edge?

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Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 8.2CYU: Check Your Understanding What are the values of the gravitational potential energy of the hiker at...
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A 55 kg skateboarder (with the board) wants to just make it to the upper edge
of a "half-pipe" with a radius of 3.0 m, as shown in the figure. The thickness of
the pipe can be assumed to be negligible.
2
3.0 m
What speed v, does he need at the bottom if he is to coast all the way up
(1) if we treat the skateboarder with the board as a point particle, with the
entire mass nearly in contact with the half-pipe?
(ii) if the mass of the skateboarder with the board was in a deep crouch and
can be thought of as concentrated 0.75 m from the half-pipe, and assume
he remains in that position all the way up to reach the upper edge?
Transcribed Image Text:A 55 kg skateboarder (with the board) wants to just make it to the upper edge of a "half-pipe" with a radius of 3.0 m, as shown in the figure. The thickness of the pipe can be assumed to be negligible. 2 3.0 m What speed v, does he need at the bottom if he is to coast all the way up (1) if we treat the skateboarder with the board as a point particle, with the entire mass nearly in contact with the half-pipe? (ii) if the mass of the skateboarder with the board was in a deep crouch and can be thought of as concentrated 0.75 m from the half-pipe, and assume he remains in that position all the way up to reach the upper edge?
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