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Finding the coefficient of friction of baseball player?

A basebally player running with a speed of 9.00m/s slides into second base through a distance of 4.00m, find the coefficient of friction. His speed is zero when he touches the base.

I have no idea what to do here. The formula we use is Fk = (uk)(N), but I see no other equations that could help with this.

V^2 = Vo^2 + 2a (X - Xo)

0 = 9.00^2 + 2a (4.00 - 0)

-20.3 = 2a

a = -10.1 m/s^2

The acceleration is all I know so far. Help please.

2 Answers

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  • 1 decade ago
    Favorite Answer

    By work energy theorem:-

    =>W = ∆KE

    =>Ff x s = 1/2mv^2

    =>µ x mg x s = 1/2mv^2

    =>µ = v^2/2gs

    =>µ = (9)^2/[2 x 9.8 x 4]

    =>µ = 1.03

  • 1 decade ago

    Draw force diagram and you'll see that friction causes the acceleration since it's the only force in the x direction while he slides.

    Fnet=ma=-ukN=-(uk)(mg)

    a=-(uk)g

    uk=a/-g=1.03

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