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5 March, 19:10

A horizontal 52-n force is needed to slide a 50-kg box across a flat surface at a constant velocity of 3.5 m/s. What is the coefficient of kinetic friction between the box and the floor?

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  1. 5 March, 19:31
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    Answer: 0.61

    Explanation:

    This is calculation based on friction.

    Since the box rests on a flat surface, the force that exists between them is known as frictional force.

    Since the friction is dynamic (velocity is not zero)

    The frictional force = kinetic energy gained by the body.

    Ff = 1/2mv^2

    coefficient of kinetic friction * normal reaction = 1/2mv^2

    Since normal reaction is equal to the weight (force acting along the vertical component)

    Normal reaction = mg = 50 * 10 = 500N. Therefore,

    coefficient of kinetic friction * 500 = 1/2*50*3.5^2

    coefficient of kinetic friction = 50*3.5^2/1000

    coefficient of kinetic friction = 0.61
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