A light horizontal spring has a spring constant of 167 N/m. A 2.77 kg block is pressed against one end of the spring, compressing the spring

Question

A light horizontal spring has a spring constant of 167 N/m. A 2.77 kg block is pressed against one end of the spring, compressing the spring 0.132 m. After the block is released, the block moves 0.284 m to the right before coming to
rest. The acceleration of gravity is 9.81 m/s^2
What is the coefficient of kinetic friction between the horizontal surface and the block?

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Nick 5 months 2021-08-26T12:40:26+00:00 1 Answers 15 views 0

Answers ( )

    0
    2021-08-26T12:41:40+00:00

    Answer:

    μ = 0.189

    Explanation:

    The spring potential energy will convert to work of friction

        Fd = ½kx²

    μmgd = ½kx²

           μ = kx²/2mgd

           μ = 167(0.132²) / (2(2.77)(9.81)(0.284))

           μ = 0.18852424…

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