An object with a mass of #3 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 · 2017-06-27T05:58:13

The coefficient of static friction is #=0.34#

The coefficient of static friction is

#mu_s=F_r/N#

#F_r=k*x#

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

The compression is #x=5/8m#

Therefore,

#F_r=16*5/8=10N#

The normal force is

#N=mg=3gN#

The coefficient of static friction is

#mu_s=(10)/(3g)=0.34#