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10 March, 13:12

You need to move a 122-kg sofa to a different location in the room. It takes a force of 81 N to start it moving. What is the coefficient of static friction between the sofa and the carpet?

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  1. 10 March, 13:31
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    The coefficient of static friction = 0.0677

    Explanation:

    Friction: These is the force that tend to oppose two bodies in contact. The force of friction is a contact force.

    F = μR

    Making μ the subject of the equation above.

    μ = F/R ... Equation 1

    Where F = frictional Force, R = normal reaction, μ = Coefficient of static friction

    But, R = mg ... Equation 2

    Given: m = 122 kg,

    Constant: g = 9.8 m/s²

    Substituting these values into equation 2

    R = 122*9.8

    R = 1195.6 N.

    Also Given: F = 81 N.

    Also substituting these values into equation 1

    μ = 81/1195.6

    μ = 0.0677

    Therefore the coefficient of static friction = 0.0677
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