The picture above shows a \'\'half pipe\'\' for snowboard riders. The rider star

Question

The picture above shows a ''half pipe'' for snowboard riders. The rider starts a height hiabove the bottom of the pipe, slides down the side, across the bottom, and back up the other side. Assume the sides are approximately frictionless so that the only friction is across the bottom. The bottom has a width W = 9.0 m and the friction force between the snowboard and the snow at the bottom of the pipe is 89.0 N. The rider doesn't do anything to increase her energy (''jump'') while going across the pipe. If the rider, with inertia 60 kg starts at a height hi= 3.9 m and goes back and forth across the pipe, where will she come to a stop? Give you position as a distance from the left side of the flat region of the half pipe. (So, for example if she stops at the left edge of the flat section, her position is 0, if she stops at the right edge of the flat section, her position is W.) Give your answer in meters to 3 significant digits. Assume that you can ignore air resistance.

Explanation / Answer

so she will travel across the frictioned area till all her energy is used up so f d = m g h 89 d = 60*9.81*3.9 d=25.79 m so she will cross twice and then 7.79 more so the answer is 7.79 m

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