An object with a mass of # 3 kg# is lying on a surface and is compressing a horizontal spring by #8 cm#. If the spring's constant is # 2 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

1 Answer
Dec 21, 2017

Answer:

The coefficient of static friction is #=0.0054#

Explanation:

The mass is #m=3kg#

The compression of the spring is #x=0.08m#

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

The reaction of the spring is #R=kx=2*0.08=0.16N#

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=0.16/29.4=0.0054#