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26 December, 00:50

What is the acceleration of an object with a mass of 15 kg and a coefficient of friction of 0.18

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  1. 26 December, 00:57
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    a = 1.764m/s^2

    Explanation:

    By Newton's second law, the net force is F = ma.

    The equation for friction is F (k) = F (n) * μ.

    In this case, the normal force is simply F (n) = mg due to no other external forces being specified

    F (n) = mg = 15kg * 9.8 m/s^2 = 147N.

    F (k) = F (n) * μ = 147N * 0.18 = 26.46N.

    Assuming the object is on a horizontal surface, the force due to gravity and the normal force will cancel each other out, leaving our net force as only the frictional one.

    Thus, F (net) = F (k) = ma

    26.46N = 15kg * a

    a = 1.764m/s^2
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