Alight horizontal spring has a spring constant of 138 n/m. a 3.85 kg block is pressed against one end of the spring, compressing the spring 0.103 m. after the block is released, the block moves 0.290 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?

0.06683

Explanation:

m = Mass of block = 3.85 kg

g = Acceleration due to gravity = 9.81 m/s²

= Coefficient of kinetic friction

x = Compression of spring = 0.103 m

k = Spring constant = 138 N/m

Work done against friction is given by

The potential energy of the spring is given by

The potential energy and the work done against friction will balance the system

The coefficient of kinetic friction between the horizontal surface and the block is 0.06683

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