3. An object with a mass of 10 kg is moving along a horizontal surface. At a certain point it has 40 J of kinetic energy. If the coefficient

Question

3. An object with a mass of 10 kg is moving along a horizontal surface. At a certain point it has 40 J of kinetic energy. If the coefficient of friction between the object and the surface is 0.40, how far will the object go beyond that point before coming to a stop? Use g = 10 m/s2

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Hồng Cúc 2 months 2021-08-04T19:23:47+00:00 1 Answers 1 views 0

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    2021-08-04T19:25:22+00:00

    Answer: 100cm

    Explanation:

    The force of friction on a surface normal to gravity where µ is the coefficient of friction is

    F = µmg

    Where

    F = the friction force

    µ = coefficient of friction

    m = mass of the object

    g = acceleration due to gravity

    Also, the Kinetic Energy of the object, E = Fs, where

    E = Kinetic Energy

    s = stopping distance. So that,

    E = µmgs

    40 J = 0.4 * 10 kg * 10 m/s² * s

    40 J = 40 kgm/s² * s

    s = 40 J / 40 kgm/s²

    s = 1 m or 100 cm

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