An object with a mass of # 14 kg# is lying still on a surface and is compressing a horizontal spring by #70 c m#. If the spring's constant is # 2 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

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Feb 19, 2018

Answer:

The coefficient of static friction is #=0.01#

Explanation:

The mass is #m=14kg#

The compression of the spring is #x=0.7m#

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

The reaction of the spring is #R=kx=2*0.7=1.4N#

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

The normal reaction of the object is

#N=mg=14*9.8=137.2N#

The coefficient of static friction is

#mu_s=R/N=1.4/137.2=0.01#

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