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March 29, 2017

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An ice skater is gliding horizontally across the ice with an initial velocity of +6.3 m/s. The coefficient of kinetic friction between the ice and the skate blades is 0.081, and air resistance is negligible. How much time elapses before her velocity is reduced to +2.8 m/s ?

  • Physics - ,

    First calculate the friction force on the ice skates. Call that F
    F = M g *(0.081)
    The loss of forward momentum equals the impulse, F*t
    M (6.3 - 2.8) = F * t = M g *0.081* t

    Note that M cancels out, so you do not need to know the mass M

    t = (3.5 m/s)/[0.081*9.8 m/s^2]
    = 4.4 seconds

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