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March 29, 2017

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an electric motor is used to pull a 125 kg box across a floor using a long cable. the tension in the cable is 350 N amd the box accelerates at 1.2 m/s^2 [forward] for 5 seconds. the cable breaks and the box slows down and stops. calculate the coefficient of kinetic friction?

  • physics - ,

    Wb = mg = 125kg * 9.8N/kg = 1225N. =
    Weight of box.

    Fb = (1225N,0deg.).
    Fp = Fh = 1225sin(0) = 0 = Force parallel to plane = hor. force.
    Fv = 1225cos(0) = 1225N = Force perpendicular to plane = The normal.

    Fn = ma = 125 * 1.2 = 150N = Net force.
    Fn = Fap - Fp - Ff = 150N,
    350 - 0 - Ff = 150,
    Ff = 350 - 150 = 200N,
    Ff = u*Fv = 200,
    1225*u = 200,
    u = 0.163 = Coefficient of friction.

    Fap = Force applied.

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