A block slides on a horizontal surface which has been lubricated with heavy oil such that...

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A block slides on a horizontal surface which has been lubricated with heavy oil such that the block suffers a viscous resistance that varies with speed v according to the equation: EF(v) = ma = -c v" If the initial speed is vo at time t 0, find v and the displacement x as a function of time v. In particular, show that for n = ½, the block will not travel further than: %3D 2mv?" x = ,3/2 3c Answers: v(t) = [vf**+1) + (n – 1) –t]/n-1 %3D (2-n) m x - Xo ,n #1 or 2 C (2 – n) II A block slides on a horizontal surface which has been lubricated with heavy oil such that the block suffers a viscous resistance that varies with speed v according to the equation: EF(v) = ma = -c v" If the initial speed is vo at time t 0, find v and the displacement x as a function of time v. In particular, show that for n = ½, the block will not travel further than: %3D 2mv?" x = ,3/2 3c Answers: v(t) = [vf**+1) + (n – 1) –t]/n-1 %3D (2-n) m x - Xo ,n #1 or 2 C (2 – n) II

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