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Math Help - Math and Physics

  1. #1
    Junior Member
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    Math and Physics

    Hi Everyone.

    Straight to the problem

    A skier on a slope inclined at 4.7 degrees to the horizontal pushes on ski poles and starts down the slope. The initial speed is 2.7m/s. The coefficient of kinetic friction between skis and snow is 0.11. Determine how far the skier will slide before coming to rest.

    In between steps appreciated.

    Thanks,
    Chris
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  2. #2
    Junior Member Singular's Avatar
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    How much did the skier wheigh?
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  3. #3
    Senior Member JaneBennet's Avatar
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    Let m be the skier’s mass, R the normal reaction of the slope on him and a his acceleration down the slope.

    Resolving perpendicular to the slope surface: R=mg\cos{4.7^\circ}

    Resolving parallel to the slope surface: ma=mg\sin{4.7^\circ}-0.11R=mg\sin{4.7^\circ}-0.11mg\cos{4.7^\circ}

    \therefore\ a=g\sin{4.7^\circ}-0.11g\cos{4.7^\circ}

    Note that a will be negative.

    Now use v^2=u^2+2as to find s.
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