An object with a mass of #4 kg# is lying still on a surface and is compressing a horizontal spring by #5 /8 m#. If the spring's constant is #16 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2017-12-30T15:09:40

The coefficient of static friction is#=0.26#

The mass is #m=4kg#

The compression of the spring is #x=5/8m#

The spring constant is #k=16kgs^-2#

The reaction of the spring is #R=kx=16*5/8=10N#

The acceleration due to gravity is #g=9.8ms^-2#

The normal reaction of the object is #N=mg=4*9.8=39.2N#

The coefficient of static friction is

#mu_s=R/N=10/39.2=0.26#