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**Unformatted text preview: **5.71: a) Forces on you: Fy = ma y gives n = mg cos Fx = max mg sin - f k = ma a = g (sin - k cos ) = -3.094 m s 2 Find your stopping distance v x = 0, a x = -3.094 m s 2 , v 0 x = 20 m s, x - x0 = ?
2 2 v x = v0 x + 2a x ( x - x 0 ) gives x - x0 = 64.6 m, which is greater than 40 m. You don't stop before you reach the hole, so you fall into it. 2 b) a x = -3.094 m s , x - x 0 = 40 m, v x = 0, v0 x = ? 2 2 v x = v0 x + 2a x ( x - x 0 ) gives v0 x = 16 m s . ...

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