You and your snowboard, with a combined mass of \(70 \mathrm{~kg}\), ride a half-pipe that has a radius of \(5.0 \mathrm{~m}\). As you pass the bottom, you create a pressure of \(27 \mathrm{kN} / \mathrm{m}^{2}\) on the half-pipe while moving at \(8.2 \mathrm{~m} / \mathrm{s}\). If your snowboard is \(1.3 \mathrm{~m}\) long, what is the average width of the part of your snowboard that is in contact with the half-pipe?