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?

Answer 1

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...