An object with a mass of # 3 kg# is lying still on a surface and is compressing a horizontal spring by #80 c m#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

1 Answer
Mar 26, 2018

Answer:

The coefficient of static friction is #=0.16#

Explanation:

The mass is #m=3kg#

The compression of the spring is #x=0.80m#

The spring constant is #k=6kgs^-2#

The reaction of the spring is #R=kx=6*0.8=4.8N#

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

The normal reaction of the object is

#N=mg=3*9.8=29.4N#

The coefficient of static friction is

#mu_s=R/N=4.8/29.4=0.16#