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How do you find kinetic force with initial velocity and stopping distance?

I just know the initial speed and the stopping distance:

A hockey puck has an initial speed of 14.1 meters/second and stops after 197.1 meters. Calculate the average value of the coefficent of kinetic friction.

I found out that the acceleration of the puck is about -0.504 m/s/s. That's about all I can think of finding. I know that if I can find the kinetic force I can divide it by (acceleration x -1) to find the mass and then finding the coefficient of friction should be easy with the formula (-ukmg/g) but I how do you find the kinetic force?

1 Answer

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  • 9 years ago
    Favorite Answer

    Let the average force = F

    => workd done by the average force = loss of KE

    = F * 197.1 = (1/2) m (14.1)^2

    => F = 0.504 m N, where m = mass of the puck

    Also, kinetic frictional force

    = μmg = F

    => μ = F/(mg) = (0.504m)/(m * 9.81) = 0.0514.

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